The concept of perceielts - 4 Answers. Sorted by: 194. 0 quartile = 0 quantile = 0 percentile. 1 quartile = 0.25 quantile = 25 percentile. 2 quartile = .5 quantile = 50 percentile (median) 3 quartile = .75 quantile = 75 percentile. 4 quartile = 1 quantile = 100 percentile. Share.

 
Example question: Find out where the 25th percentile is in the above list. Step 1: Calculate what rank is at the 25th percentile. Use the following formula: Rank = Percentile / 100 * (number of items + 1) Rank = 25 / 100 * (8 + 1) = 0.25 * 9 = 2.25. A rank of 2.25 is at the 25th percentile. . Skechers kohl

The following are the steps to calculate the kth percentile (where k is any number between zero and one hundred). Step 1: Arrange all data values in the data set in ascending order. Step 2: Count the number of values in the data set where it is represented as 'n'. Step 3: calculate the value of k/100, where k = any number between zero and one ...The values which divide an array (a set of data arranged in ascending or descending order) into four equal parts are called Quartiles. The first, second and third quartiles are denoted by Q1, Q2,Q3 respectively. The first and third quartiles are also called the lower and upper quartiles respectively. The second quartile represents the median ...Aug 23, 2023 · percentile: [noun] a value on a scale of 100 that indicates the percent of a distribution that is equal to or below it. 3. Use the QUARTILE function shown below to calculate the 1st quartile. Excel returns the value 11.25. This means that 25% (5 out of 20) of the scores are lower or equal to 11.25. Note: The second argument of the QUARTILE function must be a number between 0 and 4. PERCENTILE (A1:A20,0.25) gives the exact same result. percentile definition: 1. one of the points into which a large range of numbers, results, etc. is divided to make 100…. Learn more.November 1965 Parliamentary Affairs. If L is a Levy process and (Tt)t ≥ 0 is a positive increasing process, Xt = L (Tt) is called a time-changed Levy process with time change (Tt)t ≥ 0. When ...A bell-shaped curve, also known as a normal distribution or Gaussian distribution, is a symmetrical probability distribution in statistics. It represents a graph where the data clusters around the mean, with the highest frequency in the center, and decreases gradually towards the tails. Properties of normal distribution. Normal distribution Vs.Imagine you have the marks of 20 students. Now, try to calculate the 90th percentile. Step 1: Arrange the score in ascending order. Step 2: Plug the values in the formula to find n. P90 = 94 means that 90% of students got less than 94 and 10% of students got more than 94. Let’s look at another way how you can find the percentile in statistics.Illustrated definition of Quartiles: The values that divide a list of numbers into quarters. In 2, 4, 4, 5, 6, 7, 8 : middot Quartile...Example. Let us make an example. Let be a discrete random variable with support and probability mass function. The distribution function of is. Suppose that we want to compute the -quantile for . There is no such that. However, the smallest such that is because for and for . Thus, we have.Concept mapping is a technique for visualizing relationships among different concepts. A concept map is a diagram showing the relationships among concepts. In particular, constructivists hold that learners actively construct knowledge. Concepts are connected with labeled arrows, in a downward-branching hierarchical structure. Illustrated definition of Quartiles: The values that divide a list of numbers into quarters. In 2, 4, 4, 5, 6, 7, 8 : middot Quartile... Deciles: If data is ordered and divided into ten equal parts, then cut points are called deciles. Each part represent 10 percent. Percentiles: If data is ordered and divided intoPercentile. A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found. The term percentile and the related term percentile rank are often ... Example question: Find out where the 25th percentile is in the above list. Step 1: Calculate what rank is at the 25th percentile. Use the following formula: Rank = Percentile / 100 * (number of items + 1) Rank = 25 / 100 * (8 + 1) = 0.25 * 9 = 2.25. A rank of 2.25 is at the 25th percentile.Sep 1, 2023 · Percentile definition: one of 99 actual or notional values of a variable dividing its distribution into 100... | Meaning, pronunciation, translations and examples There are two steps to follow: Find the location of the desired quartile. If there are n observations, arranged in increasing order, then the first quartile is at position n + 1 4, second quartile (i.e. the median) is at position 2 ( n + 1) 4, and the third quartile is at position 3 ( n + 1) 4. Find the value in that position for the ordered data.Jul 31, 2023 · A bell-shaped curve, also known as a normal distribution or Gaussian distribution, is a symmetrical probability distribution in statistics. It represents a graph where the data clusters around the mean, with the highest frequency in the center, and decreases gradually towards the tails. Properties of normal distribution. Normal distribution Vs. Benefits of lifelong learning. Incorporating lifelong learning in your life can offer many long-term benefits, including: 1. Renewed self-motivation. Sometimes we get stuck in a rut doing things simply because we have to do them, like going to work or cleaning the house. Figuring out what inspires you puts you back in the driver’s seat and is ...b mode (most frequently occurring number). Normal Distribution cNormal distribution - in a normal distribution all three statistics, the mean, median, and mode are the same. 68% of values in a normal distribution are What is a Decile? Statistics Definitions > Decile. Deciles break up a set of data into tenths. They are similar to quartiles. But while quartiles sort data into four quarters, data is instead sorted into ten equal parts: The 10th, 20th, 30th, 40th, 50th, 60th, 70th, 80th, 90th and 100th percentiles. Watch the video for an overview: What is a ...Percentage. Percentages are part of our everyday lives, from calculating how much to tip to determining your bank account’s interest. In simplest terms, a percentage is a number expressed as a fraction of 100. It is also uniquely signified with the use of a percent sign (%). A simple example might be a candidate’s score on a pre-employment ...Percentile definition: one of 99 actual or notional values of a variable dividing its distribution into 100... | Meaning, pronunciation, translations and examplesA percentile is best described as a comparison score. The concept is widely used in statistical analysis, but many will be most familiar with the term as it relates to standardized testing in schools. Unlike a percentage, where a student is given a percent number that is related only to her performance in a test or examination, a percentile is ...When used properly, they accurately gather data for educators and administrators. Some standard measurements in education are raw scores, percentile ranks and standard scores. Assessment. One of the primary measurement tools in education is the assessment. Teachers gather information by giving tests, conducting interviews and monitoring behavior.Example: You are the fourth tallest person in a group of 20. 80% of people are shorter than you: That means you are at the 80th percentile.. If your height is 1.85m then "1.85m" is the 80th percentile height in that group.z=\dfrac {x-\mu} {\sigma} z = σx−μ x x represents an observed score, also known as a “raw score.”. As previously mentioned, \mu μ represents the mean and \sigma σ represents the standard deviation. To calculate a z-score, we simply subtract the mean from a raw score and then divide by the standard deviation.Jun 13, 2015 · 4 Answers. Sorted by: 194. 0 quartile = 0 quantile = 0 percentile. 1 quartile = 0.25 quantile = 25 percentile. 2 quartile = .5 quantile = 50 percentile (median) 3 quartile = .75 quantile = 75 percentile. 4 quartile = 1 quantile = 100 percentile. Share. Concept 7: Measures of Dispersion. Range is the difference between the maximum and minimum values in a data set. The annual returns of a portfolio manager for the past 4 years are 4%, 2%, 6%, 8%. Calculate the range. Mean absolute deviation (MAD) is the average of the absolute values of deviations from the mean. An integrated diagnosis with multiple modalities appears a promising concept but requires further development and testing. Many basic issues in assessing fetal growth have yet to be addressed, such as whether fetuses of different race/ethnic groups have a similar growth pattern; how fast a normal fetus is supposed to grow at different stages of ...Percentile is found with the equation: P = n/N * 100%. Where P is the percentile, lower case n is the number of data points below the data point of interest, and N is the total number of data ...Oct 23, 2020 · Height, birth weight, reading ability, job satisfaction, or SAT scores are just a few examples of such variables. Because normally distributed variables are so common, many statistical tests are designed for normally distributed populations. Understanding the properties of normal distributions means you can use inferential statistics to compare ... Oct 21, 2022 · Your child’s test scores are only one part of the evaluation results. Your child is going through the evaluation process. Once the testing is done, you’ll get a report explaining the scores. The results of evaluation testing are presented statistically. So, when you get the report, you may see language you’re not familiar with. P = (nth percentile/100) × Total number of values in the list. Here, n = Ordinal rank of the given value or value below the number. N = Number of values in the data set. P = Percentile. Rank = Percentile/100. Ordinal rank for Percentile value = Rank × Total number of values in the list.Example question: Find out where the 25th percentile is in the above list. Step 1: Calculate what rank is at the 25th percentile. Use the following formula: Rank = Percentile / 100 * (number of items + 1) Rank = 25 / 100 * (8 + 1) = 0.25 * 9 = 2.25. A rank of 2.25 is at the 25th percentile. Anthropometrics and Design. 1. Design Limitations a. Myth of designing for the "average" person - since there are no people whose body dimensions are all at the 50th percentile. Body dimensions aren't linearly correlated so people with short arms don't necessarily have short legs, etc. While the use of the 5th and 95th percentiles on one body ...Quartiles divide data into four parts, deciles into ten parts, and percentiles into one hundred parts. These measures provide valuable insights into the distribution and spread of data, allowing us to analyze specific segments of a dataset with precision. By comprehending quartiles, deciles, and percentiles, we gain a deeper understanding of ...Anthropometrics and Design. 1. Design Limitations a. Myth of designing for the "average" person - since there are no people whose body dimensions are all at the 50th percentile. Body dimensions aren't linearly correlated so people with short arms don't necessarily have short legs, etc. While the use of the 5th and 95th percentiles on one body ... Concept mapping is a technique for visualizing relationships among different concepts. A concept map is a diagram showing the relationships among concepts. In particular, constructivists hold that learners actively construct knowledge. Concepts are connected with labeled arrows, in a downward-branching hierarchical structure. Percentile. In statistics, a k-th percentile, also known as percentile score or centile, is a score below which a given percentage k of scores in its frequency distribution falls (" exclusive " definition) or a score at or below which a given percentage falls (" inclusive " definition). Percentiles are expressed in the same unit of measurement ...The concept of a decile is used widely in the field of finance and economics to perform the analysis of data. It can be used to check the performance of a portfolio in the field of finance. In this article, we learn more about a decile, its definition, rank, and see associated examples on calculating the decile value.Feb 18, 2018 · This concept can be generalized. One way to do this is to consider percentiles. The 90th percentile indicates the point where 90% percent of the data have values less than this number. More generally, the pth percentile is the number n for which p% of the data is less than n. Start your trial now! First week only $4.99! arrow_forward Literature guides Concept explainers Writing guide Popular textbooks Popular high school textbooks Popular Q&A Business Accounting Business Law Economics Finance Leadership Management Marketing Operations Management Engineering AI and Machine Learning Bioengineering Chemical Engineering Civil Engineering Computer Engineering Computer ... Feb 10, 2023 · IntroductionThe period of adolescence is characterized by marked changes relevant to adult life. The goals of this study were (a) to analyze the psychometric properties of the physical self-concept questionnaire (PSC) in adolescents and (b) to develop percentiles for evaluation by age and sex.MethodsA descriptive cross-sectional study was conducted in adolescents aged 11 to 17 years from an ... Measurement refers to careful, deliberate observations of the real world and is the essence of empirical research. While some constructs in social science research, such as a person’s age, weight, or a firm’s size, may be easy to measure, other constructs, such as creativity, prejudice, or alienation, may be considerably harder to measure ...See full list on thoughtco.com Boehm Test of Basic Concepts Third Edition helps evaluate basic concepts essential for school success. Boehm-3 is based on research that identified the 50 basic concepts most frequently used by teachers in kindergarten, first, and second grade classrooms. Illustrated definition of Quartiles: The values that divide a list of numbers into quarters. In 2, 4, 4, 5, 6, 7, 8 : middot Quartile... Quartiles and deciles are statistical concepts that are commonly used to analyze datasets. Quartiles divide a dataset into four equal parts, with the first quartile (Q1) representing the 25th percentile, the second quartile (Q2) representing the median or 50th percentile, and the third quartile (Q3) representing the 75th percentile.Introduction. Other measures of location. Quartiles – for discrete data and continuous data. Deciles and percentiles. 1. Introduction. In section 2.1, we learnt how to find the three most common averages for a set of data – namely, the mode, the median and the mean. They are measures of central tendency which indicate the overall location ...Jun 13, 2015 · 4 Answers. Sorted by: 194. 0 quartile = 0 quantile = 0 percentile. 1 quartile = 0.25 quantile = 25 percentile. 2 quartile = .5 quantile = 50 percentile (median) 3 quartile = .75 quantile = 75 percentile. 4 quartile = 1 quantile = 100 percentile. Share. Start your trial now! First week only $4.99! arrow_forward Literature guides Concept explainers Writing guide Popular textbooks Popular high school textbooks Popular Q&A Business Accounting Business Law Economics Finance Leadership Management Marketing Operations Management Engineering AI and Machine Learning Bioengineering Chemical Engineering Civil Engineering Computer Engineering Computer ... Quartiles, Deciles and Percentiles. Quartiles, Deciles and Percentiles Let us now extend the concept of partitioning of the frequency distribution by taking up the concept of quantiles (i.e. quartiles, deciles and percentiles) We have already seen that the median divides the area under the frequency polygon into two equal halves:Illustrated definition of Quartiles: The values that divide a list of numbers into quarters. In 2, 4, 4, 5, 6, 7, 8 : middot Quartile...The concept of skewness is baked into our way of thinking. When we look at a visualization, our minds intuitively discern the pattern in that chart, whether we are data scientists or beginners working on a python dataset. As you might already know, India has more than 50% of its population below the age of 25 and more than 65% below the age of 35.14.2.1 Concepts Related to Probability Probability is a statistical concept which can be measured and analysed. Due to its much scientific applications, there are certain related concepts which you need to know. These concepts are: 1) Sample Space, Events and Power Set: The collection or set of all The first step is to compute the rank ( R R) of the 25th 25 t h percentile. This is done using the following formula: R = P/100 × (N + 1) (1.7.1) (1.7.1) R = P / 100 × ( N + 1) where P P is the desired percentile ( 25 25 in this case) and N N is the number of numbers ( 8 8 in this case).Feb 10, 2023 · IntroductionThe period of adolescence is characterized by marked changes relevant to adult life. The goals of this study were (a) to analyze the psychometric properties of the physical self-concept questionnaire (PSC) in adolescents and (b) to develop percentiles for evaluation by age and sex.MethodsA descriptive cross-sectional study was conducted in adolescents aged 11 to 17 years from an ... Percentiles and Z -scores are often used to assess anthropometric measures to help evaluate children’s growth and nutritional status. In this chapter, we first compare the concepts and applications of percentiles and Z -scores and their strengths and limitations. Compared to percentiles, Z -scores have a number of advantages: first, they are ...Imagine you have the marks of 20 students. Now, try to calculate the 90th percentile. Step 1: Arrange the score in ascending order. Step 2: Plug the values in the formula to find n. P90 = 94 means that 90% of students got less than 94 and 10% of students got more than 94. Let’s look at another way how you can find the percentile in statistics.IntroductionThe period of adolescence is characterized by marked changes relevant to adult life. The goals of this study were (a) to analyze the psychometric properties of the physical self-concept questionnaire (PSC) in adolescents and (b) to develop percentiles for evaluation by age and sex.MethodsA descriptive cross-sectional study was conducted in adolescents aged 11 to 17 years from an ...Skewness is a measure of asymmetry or distortion of symmetric distribution. It measures the deviation of the given distribution of a random variable from a symmetric distribution, such as normal distribution. A normal distribution is without any skewness, as it is symmetrical on both sides. Hence, a curve is regarded as skewed if it is shifted ...Imagine you have the marks of 20 students. Now, try to calculate the 90th percentile. Step 1: Arrange the score in ascending order. Step 2: Plug the values in the formula to find n. P90 = 94 means that 90% of students got less than 94 and 10% of students got more than 94. Let’s look at another way how you can find the percentile in statistics.When used properly, they accurately gather data for educators and administrators. Some standard measurements in education are raw scores, percentile ranks and standard scores. Assessment. One of the primary measurement tools in education is the assessment. Teachers gather information by giving tests, conducting interviews and monitoring behavior.Definition and meaning. Percentile or centile is a value or number that represents a percentage position on a range or list of data – the person or thing at that number of value is above that number in percentage. For example, if the exam results of schoolchildren at a specified school in a nationwide study is at the 65th percentile, it means ... This means the sales tax is 4% of $4.50. So we'll multiply 4% by 4.50. First, we need to convert 4% into a decimal, so we'll move the decimal point two places to the left. 4% is the same as 0.04. Now we'll multiply: 4.5 times 0.04 is 0.18, so the sales tax is $0.18, or 18 cents.P = (nth percentile/100) × Total number of values in the list. Here, n = Ordinal rank of the given value or value below the number. N = Number of values in the data set. P = Percentile. Rank = Percentile/100. Ordinal rank for Percentile value = Rank × Total number of values in the list.IQ stands for intelligence quotient. Supposedly, it is a score that tells one how “bright” a person is compared to others. The average IQ is, by definition, 100; scores above 100 indicate a higher-than-average IQ, and scores below 100 indicate a lower-than-average IQ. Theoretically, scores can range from any number below or above 100.Estimation of percentiles. Percentiles can be estimated from N measurements as follows: for the p th percentile, set p(N + 1) equal to k + d for k an integer, and d , a fraction greater than or equal to 0 and less than 1. For 0 < k < N, Y(p) =Y[k] + d(Y[k+1] − Y[k])Range is one of the simplest measures of variation. It's the lowest point of data subtracted from the highest point of data. For example, if your highest point is 10 and your lowest point is three, your range would be seven. The range tells you a general idea of how widely spread your data is. Because range is so simple and only uses two pieces ...Quantiles. A further generalization is to note that our order statistics are splitting the distribution that we are working with. The median splits the data set in half, and the median, or 50th percentile of a continuous distribution splits the distribution in half in terms of area. The first quartile, median and third quartile partition our ...Mar 1, 2019 · November 1965 Parliamentary Affairs. If L is a Levy process and (Tt)t ≥ 0 is a positive increasing process, Xt = L (Tt) is called a time-changed Levy process with time change (Tt)t ≥ 0. When ... How It Works Process Influences Improvement Tips Perception refers to our sensory experience of the world. It is the process of using our senses to become aware of objects, relationships. It is through this experience that we gain information about the environment around us.Look, it's just gonna be 0.5 repeating. So 55.5555%. So either of these would actually be a legitimate response to the percentile rank for the driver with the daily driving time of six hours. It depends on whether you include the six hours or not. So you could say either the 50th percentile or roughly the 55th, or actually the 56th percentile ... Dec 10, 2020 · This week, we will bust another myth – market percentiles. Users of salary surveys are accustomed to referring to the market data in terms of a percentile. The most common percentile of reference is the median average or 50 th percentile. Simply stated, the 50 th percentile of an array of values is the point where there are equal numbers of ... Definition and meaning. Percentile or centile is a value or number that represents a percentage position on a range or list of data – the person or thing at that number of value is above that number in percentage. For example, if the exam results of schoolchildren at a specified school in a nationwide study is at the 65th percentile, it means ...3. Use the QUARTILE function shown below to calculate the 1st quartile. Excel returns the value 11.25. This means that 25% (5 out of 20) of the scores are lower or equal to 11.25. Note: The second argument of the QUARTILE function must be a number between 0 and 4. PERCENTILE (A1:A20,0.25) gives the exact same result. The values which divide an array (a set of data arranged in ascending or descending order) into four equal parts are called Quartiles. The first, second and third quartiles are denoted by Q1, Q2,Q3 respectively. The first and third quartiles are also called the lower and upper quartiles respectively. The second quartile represents the median ...Mar 11, 2023 · What is a Statistic? In the mind of a statistician, the world consists of populations and samples. An example of a population is all 7th graders in the United States. Mar 18, 2022 · The entry in the row and column for z = 1.56 is the area under the distribution to the left of the score. This is often expressed in the form of a probability: P ( z ≤ 1.56) = 0.9406. The ...

Answer (1 of 7): Percentiles are a great tool to use when you need to know the relative standing of a value. Where does a value fall within a distribution of values?. Atandt pay bill online prepaid

the concept of perceielts

6 years ago. Posted 6 years ago. Direct link to Ian Pulizzotto's post “The exact z score for a g...”. more. The exact z score for a given cumulative percentage, in Excel in Office 365, is either. =NORMSINV (percentage) or. =NORM.S.INV (percentage) So the exact z score for a cumulative percentage of 0.7 is either.An integrated diagnosis with multiple modalities appears a promising concept but requires further development and testing. Many basic issues in assessing fetal growth have yet to be addressed, such as whether fetuses of different race/ethnic groups have a similar growth pattern; how fast a normal fetus is supposed to grow at different stages of ... Jan 19, 2022 · Percentile is found with the equation: P = n/N * 100%. Where P is the percentile, lower case n is the number of data points below the data point of interest, and N is the total number of data ... Percentiles: Range from 0 to 100. Quartiles: Range from 0 to 4. Quantiles: Range from any value to any other value. Note that percentiles and quartiles are simply types of quantiles. Some types of quantiles even have specific names, including: 4-quantiles are called quartiles. 5-quantiles are called quintiles.Start your trial now! First week only $4.99! arrow_forward Literature guides Concept explainers Writing guide Popular textbooks Popular high school textbooks Popular Q&A Business Accounting Business Law Economics Finance Leadership Management Marketing Operations Management Engineering AI and Machine Learning Bioengineering Chemical Engineering Civil Engineering Computer Engineering Computer ...3. The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. Find the number of boys and girls in the class. Start your trial now! First week only $4.99! arrow_forward Literature guides Concept explainers Writing guide Popular textbooks Popular high school textbooks Popular Q&A Business Accounting Business Law Economics Finance Leadership Management Marketing Operations Management Engineering AI and Machine Learning Bioengineering Chemical Engineering Civil Engineering Computer Engineering Computer ... Introduction. Other measures of location. Quartiles – for discrete data and continuous data. Deciles and percentiles. 1. Introduction. In section 2.1, we learnt how to find the three most common averages for a set of data – namely, the mode, the median and the mean. They are measures of central tendency which indicate the overall location ...Percentile definition: one of 99 actual or notional values of a variable dividing its distribution into 100... | Meaning, pronunciation, translations and examplesApr 17, 2023 · The data in the online ranking can help you identify your stronger and weaker points in terms of conditioning. For example, if you rank in the top quartile for the 1 hour piece and the bottom quartile for 500 meters, that suggests you have good endurance but are lacking in power. You can then adopt a training plan to improve your weakness. 4.2 - The Normal Curve. Many measurement variables found in nature follow a predictable pattern. The predictable pattern of interest is a type of symmetry where much of the distribution of the data is clumped around the center and few observations are found on the extremes. Data that has this pattern are said to be bell-shaped or have a normal ... Example: You are the fourth tallest person in a group of 20. 80% of people are shorter than you: That means you are at the 80th percentile.. If your height is 1.85m then "1.85m" is the 80th percentile height in that group.Nov 6, 2018 · When used properly, they accurately gather data for educators and administrators. Some standard measurements in education are raw scores, percentile ranks and standard scores. Assessment. One of the primary measurement tools in education is the assessment. Teachers gather information by giving tests, conducting interviews and monitoring behavior. Range is one of the simplest measures of variation. It's the lowest point of data subtracted from the highest point of data. For example, if your highest point is 10 and your lowest point is three, your range would be seven. The range tells you a general idea of how widely spread your data is. Because range is so simple and only uses two pieces ...Aug 31, 2023 · The following are the steps to calculate the kth percentile (where k is any number between zero and one hundred). Step 1: Arrange all data values in the data set in ascending order. Step 2: Count the number of values in the data set where it is represented as 'n'. Step 3: calculate the value of k/100, where k = any number between zero and one ... Minimum. It is the smallest value in the distribution. Maximum. It is the largest value in the distribution. Quantiles. They are a natural extension of the median concept in which they are values which divide a set of data into equal parts. Quartiles. The quantiles that divide the distribution into four equal parts. Deciles.Quartiles divide data into four parts, deciles into ten parts, and percentiles into one hundred parts. These measures provide valuable insights into the distribution and spread of data, allowing us to analyze specific segments of a dataset with precision. By comprehending quartiles, deciles, and percentiles, we gain a deeper understanding of ...Basic Statistics. When performing statistical analysis on a set of data, the mean, median, mode, and standard deviation are all helpful values to calculate.A better measure of central tendency would be the median (15) or the mean (also 15) in this case. The mode is also a poor measure of central tendency when it happens to be a number that is far away from the rest of the values. For example, the mode of the following dataset is 30, but this doesn’t actually represent the “typical” number of ....

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