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Quartile decile and percentile formula for grouped data

Quartiles, Deciles and Percentiles (Grouped Data) MBA

When data is arranged in ascending or descending order, it can be divided into various parts by different values such as quartiles, deciles and percentiles. These values are collectively called quantiles and are the extension of median formula which divides data into two equal parts Calculation of Quartiles, Deciles & Percentiles for Grouped Data. Example 1: The following table shows the Price of 80 New Vehicles Sold Last Month at Toyota (in $ thousand) is given below. Calculate 3rd quartile, 3rd decile, 68th percentile for the previously given data. Here ¾ N =60. So 3rd quartile lies in 24-26 class Find Quartiles, Deciles and Percentiles for grouped data. Type your data in either horizontal or verical format, for seperator you can use '-' or ',' or ';' or space or tab. for sample click random button. Hint: first column contains 'Class' range. second column contains 'Frequency'. Value displayed in vertical format, you can also input in.

Calculation of Quartiles, Deciles & Percentiles for

Calculation of Quartiles, Deciles & Percentiles for Ungrouped Data. Quartiles. • Divides an array into four equal parts. • Each portion contains equal number of items. • First quartiles or lower quartile ( Q1) has 25% of the items below it. • Third quartiles or Upper quartile ( Q3) has 75% of the items below it Percentiles for grouped data. Percentiles are the values which divide whole distriution into hundred equal parts. They are 99 in numbers namely P 1, P 2, ⋯, P 99. Here P 1 is first percentile, P 2 is second percentile and so on

Para sa mga paglilinaw na mayroon ka kaibigan, maaari mo akong imessage sa aking FB page:EC Math TV (m.me/EcMathTv)https://www.facebook.com/EcMathTvKindly li.. Percentiles are measures that divide a group of data into 100 parts. Percentiles are values that split your data into percentages in the same way that quartiles split data into quartes. Each percentile is referred to by the percentage with which it splits the data. so 10th percentile i sthe value that is 10% os the way through the data

Quartiles, Deciles and Percentiles for grouped data calculato

First Quartile Q 1 can be calculated using quartile formula for grouped data as below. Q 1 = ( 1 ( N) 4) t h value = ( 1 ( 35) 4) t h value = ( 8.75) t h value. The cumulative frequency just greater than or equal to 8.75 is 16. The corresponding value of X is the 1 s t quartile. That is, Q 1 = 3 days. Thus, 25 % of the students had absences. Percentile For Grouped Data 1. 1. illustrates the following measures of position: quartiles, deciles and percentiles; 2. calculates a specified measure of position (e.g. 90th percentile) of a set of data; 3. interprets measures of position; and 4. understand the importance and used of the position of data in solving real - life problem Quartiles, Deciles, and Percentiles hundred equally pieces of area is called percentiles Frequency Data Q1 Q2 Q3 A1 A2 A3 A4 Q1 = first quartile Q2 = second quartile Q3 = third quartile Where: A1 = A2 = A3 = A4. D1 = first decile D2 = second decile D3 = third decile.

There are 10 deciles in any data set. For example, the fourth decile splits the data into the lower 40% of the values and the upper 60%. Percentiles. Percentiles split the data into 100 equal parts, i.e., hundredths. So, for instance, the 77 th percentile splits the data into the lower 77% of the values and the upper 23% This data and statistics video tutorial provides a basic introduction into quartiles, deciles, and percentiles. It explains how to find the quartiles of a d..

Quartiles, Deciles and Percentiles for ungrouped data

  1. utes. Thus, 10 % of the students spent less than or equal to 30
  2. Quartiles, Deciles and Percentiles (Grouped Data) When data is arranged in ascending or descending order, it can be divided into various parts by different values such as quartiles, deciles and percentiles. These values are collectively called quantiles and are the extension of median formula which divides data into two equal parts
  3. What are Deciles? Deciles are a form of percentiles that split the data up into groups of 10%. Meaning, every decile contains 10% of the data. To find the decile, first order the data from least to greatest. Then, divide the data by 10. This indicates the number of observed values within each decile

Decile for Grouped Data. Decile for grouped data can be calculated from the following formulae; Where, l = lower class boundary of the class containing the , i.e. the class corresponding to the cumulative frequency in which 2n/10 or 9n/10 lies. h = class interval size of the class containing. f = frequency of the class containing

Measure of Position for Ungrouped DataQuartileDecilePercentileReference: Grade 10 Mathematics LM-----oOo-----oOo-----oOo-----oOo-----.. Quartiles, Deciles and Percentiles Friday, 23 March 2012 The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data. (which is 6) are both equal to 5, the 25th percentile is 5. In terms of the formula: The 25th percentile equals 0.25×(5−5)+5=5 For the.

decile : measures of position for grouped data 1. objectives •illustrate the following measures of position: quartiles, deciles and percentiles •calculate specified measure of position (e.g. 90th percentile) of a set of data. 2. deciles for grouped data •deciles are those values that divide the total frequency into 10 equal parts Definitions. first quartile (designated Q1) = lower quartile = splits lowest 25% of data = 25th percentile. second quartile (designated Q2) = median = cuts data set in half = 50th percentile. third quartile (designated Q3) = upper quartile = splits highest 25% of data, or lowest 75% = 75th percentile

Deciles are similar to quartiles. But while quartiles sort data into four quarters, deciles sort data into ten equal parts: The 10th, 20th, 30th, 40th, 50th, 60th, 70th, 80th, 90th and 100th percentiles. D5 constitutes the 50 th rank so it is also the median Percentiles and Quartiles Worksheets. In statistics, percentiles are used to interpret and understand a set of data. The nth percentile is the value below which a percentage of data in a data is present. For instance, a 25 years old male measuring six feet height lies in the 70th percentile for this height. It means of all the 25 years old.

Deciles. Deciles are similar to Percentiles (sounds like decimal and percentile together), as they split the data into 10% groups: The 1st decile is the 10th percentile (the value that divides the data so 10% is below it) The 2nd decile is the 20th percentile (the value that divides the data so 20% is below it) etc Likewise, we use two tertiles to split data into three groups, four quintiles to split them into five groups, and so on. The general term for such cut off points is quantiles; other values likely to be encountered are deciles, which split data into 10 parts, and centiles, which split the data into 100 parts (also called percentiles) Another measure of position is the quartile, which is similar to the percentile except that it divides data into quarters (segments of 25% each) instead of hundredths. Thus, the n th quartile is the value x for which (25 n )% of the values are less than or equal to x. Three quartiles are defined: Q1, Q2, and Q3

The nine values which divide the data set into ten equal parts are called deciles, denoted by D1, D2, D3D9. The 99 values which divide the data into 100 equal parts are called percentiles. They are denoted as P1, P2,.P99. In a grouped frequency distribution: Quartile = L + c × [(n/4) - C]/f Decile = L + c × [(n/10) - C]/ Second Quartile Q2. Since the data given in the problem is ungrouped therefore following formula will be used for the calculation of second quartile. 5th Decile. The calculation of 5th decile for ungrouped data is given below: 50th Percentile (P50) The calculation of 50th percentile for ungrouped data is given below: Media Quartiles are the five numbers you need to split a group of numbers into four equal-size groups. Here they are, from lowest to highest: Minimum, or (rarely) 0th percentile—the smallest number in the group. 1st quartile, Q1, or 25th percentile—the number that separates the lowest 25% of the group from the highest 75% of the group

The quartiles are: Q 1 , the lowest quartile is known as the lower quartile, or first quartile.The lowest 25% of the data being found below the first quartile value. It is the same as P 25.; Q 2 , the quartile in the middle is known as the median.The lowest 50% of the data set should be found below the second quartile Next, sort all the data or variables in the population in ascending order. Next, based on the decile that is required, determine the value by adding one to the number of data in the population, then divide the sum by ten and then finally multiply the result by the rank of the decile as shown below. i th decile, D i formula = i * (n + 1) / 10 th. also called the lower decile. the sum of the numbers in a set of data divided by the number of pieces of data. also called the upper decile. a value that is much higher or much lower than the other values in a set of data. also called the lower decile. the value appearing at the center of a set of data that has been sorted in numerical order That is 25 percent of data will lie below Q 1, 50 percent of data below Q 2 and 75 percent below Q 3. Here Q 2 is called the Median. Quartiles are obtained in almost the same way as median . Quartiles for Raw or Ungrouped data: If the data set consist of n items and arranged in ascending order then . Example 5.3

Segmenting Data: Quartiles, Deciles, Percentiles - Data

Percentile Grouped Data Case Study - YouTube

The most commonly used fractiles are the quartiles, deciles, and percentiles. 3. Fractiles for Ungrouped Data QUARTILES divide a distribution into four equal parts. For example, Q1, or the first quartile, locates the point which is greater than 25% of the items in distribution Quartiles for grouped data Example 2 The following table gives the amount of time (in minutes) spent on the internet each evening by a group of 56 students. Compute quartiles for the following frequency distribution 2. Determine the 5 th decile and 7 th decile of grouped data. 3. Finds the 50 th percentile and 80 th percentile of the grouped data. II. Collection of Data Materials: Pen Paper Procedure: The researchers asked the advisor or the 3 rd quarter general average of the Grade 8 Honest students DECILES Grouped and Ungrouped Data. In descriptive statistics, a decile is any of the nine values that divide the sorted data into ten equal parts, so that each part represents 1/10 of the sample or population. A decile is one possible form of a quantile; other include the quartile and percentile

Quartiles (grouped) Jaymel Licup. Download PDF. Download Full PDF Package. This paper. A short summary of this paper. 37 Full PDFs related to this paper. READ PAPER. Quartiles (grouped) Download. Quartiles (grouped Quartile function. With QUARTILE function, you also can find number that the top 25 percent of incomes in the list are greater than. Select a blank cell, enter this formula =QUARTILE(A1:A10,3), press Enter key, now you can find that 75 percent of the entered incomes are lower than 6750, which also means that 25 percent of entered incomes are higher than 6750 Segmenting Data: Quartiles, Deciles and Percentiles Introduction: All of us are aware of the concept of the median in Statistics, the middle value or the mean of the two middle values, of an array. We have learned that the median divides a set of data into two equal parts. In the same way, there are also certain other values which divide a set of data into four, ten or hundred equal parts

Median, Quartiles and Percentiles for Ungrouped Data or Discrete Data, Find the median, lower quartile, upper quartile, interquartile range and range of the given discrete data, with video lessons, examples and step-by-step solutions ¨ Two examples of these ranges of percentiles are quartiles and deciles. n Quartiles (four divisions, ranges of 25 percentile units): quartile 1 = 0 to 25 th percentile (Q1), quartile 2 = top of Q1 to 50 th percentile (Q2), quartile 3 = top of Q2 to 75 th percentile (Q3), quartile 4 = top of Q3 to 100 th percentile. Each quartile contains one. 1. QUARTILE FOR GROUPED DATA •THE QUARTILES ARE THE SCORE POINTS WHICH DIVIDE A DISTRIBUTION INTO FOUR EQUAL PARTS. Similarly, it is asked, what are the measures of position? Statisticians often talk about the position of a value, relative to other values in a set of data. The most common measures of position are percentiles, quartiles, and. Decile: A decile is a method of splitting up a set of ranked data into 10 equally large subsections. This type of data ranking is performed as part of many academic and statistical studies in the.

Quartile: A quartile is a statistical term describing a division of observations into four defined intervals based upon the values of the data and how they compare to the entire set of observations Percentiles take 1% slices of this sample size, hence the name. The 8th percentile is nothing more than 8% of the ordered data set. The 50th percentile is 50%, which is also the definition of the median. Between the 95th and 10th percentile lies 85% of the data. Quartiles. Quartiles are nothing more than a special set of percentiles Quartiles Deciles And Percentiles. Displaying top 8 worksheets found for - Quartiles Deciles And Percentiles. Some of the worksheets for this concept are Complete the following questions on a separate of, 09 24 2012 034751pm, Frequency a2 a3 a1 a4 q1 q2 q3, Notes unit 8 interquartile range box plots and outliers, , Lecture 2 grouped data calculation, Ma131lecturenotes4, Unit 3 notes Quartiles, Deciles and Percentiles of the Grouped Data • Example: Find the first quartile, third decile and 70 th percentile of the following grouped data. Plate No. 5-2 I. Differentiate the types of skewness

Median, Quartiles And Percentiles (Grouped Data

Percentiles for grouped data - VrcAcadem

values are larger than the median. Similarly, 25th and 75th percentiles are the lower (Q1) and upper quartiles (Q3) respectively. The quartiles, deciles, and percentiles are also called quantiles or fractiles. Measure of relative standing of an observation in Grouped Data Example: For the following grouped data comput Calculating quartiles, deciles and percentiles for Ungrouped Data FORMULAS FOR UNGROUPED DATA Position of: Deciles where: EXAMPLE Given the set of scores {21, 30, 10, 7, 24, 27, 19, 24, 11, 26 and 19}; n = 11 Find: 1.) 2.) 3.) STEPS ILLUSTRATIVE EXAMPLE STEP 1: Arrange the n data entries from lowest to highest

Example 2: 3rd Quartile in Students' Ages Data. Since 9 is an integer, then we need to get the average of 9th and 10th values in [TABLE 1] = (35+38)/2 = 36.5. Thus, the 3rd quartile or the 75th percentile is equal to 36.5. Newer Post Range and Inter-Quartile Range. Older Post Measures of Location: Median and Mode Percentiles for grouped data (EMA79) In grouped data, the percentiles will lie somewhere inside a range, rather than at a specific value. To find the range in which a percentile lies, we still use the percentile formula to determine the rank of the percentile and then find the range within which that rank is quartile, decile, percentile, and standard scores or z-scores. Measures of position are used in educational researches and other disciplines such as medicine, marketing, and demography. After going through this module, you are expected to: • use percentiles in analyzing and interpreting research data (M10SP-Iv-h-j-1) What I Need to Kno

Quartiles, Deciles, and Percentiles for Grouped Data - A

Ql is called lower quartile, Q2 is also called median and Q3 is called upper quartile. Q1 = (n/4)th value of the data. Q2 = (n/2)th value of the data. Q3= (3n / 4) th value of the data. It is important to note that n is the total number of frequency. i.e. n= ∑ f. DECILE AND PERCENTILE. Deciles divide the data into ten equal parts: D1 = (n. Percentiles and Quartiles Worksheet Complete the following questions on a separate sheet of paper. 1. For the following sets of data, find the range. find the median, and the upper and lower quartiles Data 6, 47, 49, 15, 43, 41, 7, 39, 43, 41, 36 Ordered data Median Q3 Q1 3. A year ago, Angela began working at a computer store. Her. Quartiles Formula. Suppose, Q 3 is the upper quartile is the median of the upper half of the data set. Whereas, Q 1 is the lower quartile and median of the lower half of the data set. Q 2 is the median. Consider, we have n number of items in a data set. Then the quartiles are given by; Q 1 = [(n+1)/4]th item. Q 2 = [(n+1)/2]th item. Q 3 = [3(n+1)/4]th item. Hence, the formula for quartile can. Measures of Position - are techniques that divide a set of data into equal groups - the different measures of positions are quartile, decile and percentile Quartile - are the three values of the variable that divide an ordered data set into four equal parts Presentation on the different methods on how to compute quartile value of an ungrouped data Deciles are similar to Percentiles (sounds like decimal and percentile together), as they split the data into 10% groups: The 1st decile is the 10th percentile (the value that divides the data so that 10% is below it) The 2nd decile is the 20th percentile (the value that divides the data so that 20% is below it) etc

Statistics - emathematics

Median M = L + n 2 - cf f ⋅ c. 3. Mode Z = L + ( f1 - f0 2 ⋅ f1 - f0 - f2) ⋅ c. 1. Calculate Mean, Median, Mode from the following grouped data. From the column of cumulative frequency cf, we find that the 5th observation lies in the class 4 - 6. ∴ The median class is 4 - 6. Here, maximum frequency is 4. ∴ The mode class is 4 - 6 The First Quartile is equal to the data at the 25th percentile of the data. The first quartile can also be obtained using the Ogive whereby you section off the curve into four parts and then the data that lies on the last quadrant is referred to as the first quartile. Second Quartile (Q 2 How to find percentile for grouped data? Step 1 - Select type of frequency distribution (Discrete or continuous) Step 2 - Enter the Range or classes (X) seperated by comma (,) Step 3 - Enter the Frequencies (f) seperated by comma. Step 4 - Enter the require percentile number between 1 to 99 Quartiles Deciles And Percentiles. Quartiles Deciles And Percentiles - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Complete the following questions on a separate of, 09 24 2012 034751pm, Frequency a2 a3 a1 a4 q1 q2 q3, Notes unit 8 interquartile range box plots and outliers, , Lecture 2 grouped data calculation, Ma131lecturenotes4, Unit 3 notes The quartiles are the three data values that divide an ordered data set into four groups, where each group contains an equal number of data values. The median ( \(50^{\text{th}}\) percentile) is the second quartile ( \(Q2\) )

1. Find the second quartile, or the median, for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, Percentiles can also be calculated for grouped data which is done with the help of following formulae; Where, ℓ = lower boundary of the class containing the P35 or P99, i.e. the class corresponding to the cumulative frequency in which 35 N /100 or 99 N /100 lies. w = class interval size of the class containing P35 or P99 Calculate the quartiles Q 1 and Q 3 for wages of the labours given below. Solution: Deciles. Deciles are similar to quartiles. Quartiles divides ungrouped data into four quarters and Deciles divide data into 10 equal parts . Example 5.33. Find the D 6 for the following data . 11, 25, 20, 15, 24, 28, 19, 21. Solution: Arrange in an ascending orde

Quartiles for grouped data - VrcAcadem

Deciles. Deciles are similar to quartiles. Quartiles divides ungrouped data into four quarters and Deciles divide data into 10 equal parts . Example 5.3 Enter a data set and our percentile calculator finds the percentile you need. We use the same formula as the PERCENTILE() function in Excel, Google Sheets and Apple Numbers. The percentile calculator can create a table listing each 5th percentile, also showing quartiles and deciles. Click the check box before you click the Calculate button. REVIEW: Quartile and Decile of Grouped Data PERCENTILE FOR GROUPED DATA The PERCENTILE are the score points which divide a distribution into one hundred(100) equal parts. HOW TO SOLVE FOR A SPECIFIED DECILE FOR GROUPED DATA? HOW TO SOLVE FOR A SPECIFIED QUARTILE FOR GROUPED DATA? STEP 1 Gather Data. STEP 2 Prepare the table of frequency A decile is a specific type of quantile that arranges data into 10 equal parts. In order to create deciles we must actually derive 9 specific numbers, or cut points, that define where these.

Percentile For Grouped Data - SlideShar

Measures of Position for Ungrouped Data 1. Quartile 2. Decile 3. Percentile 4. Z Score or a standard score. Step-by-step explanation: Quartile - The position divides the data set into 4 equal parts that is Q1 Q2 and Q3 The formula for the first quartile second quartile and third quartile where is the total number of sample siz The value of the 14th item is 67 and that of the 15th item is 68. Thus the 7th decile is 0.7th of the way between 67 and 68, which will be as 37+0.7=67.7. Therefore, D 7 =67.7. Let's read post Calculation of Deciles for Grouped Data Quartiles Deciles And Percentiles. Showing top 8 worksheets in the category - Quartiles Deciles And Percentiles. Some of the worksheets displayed are Complete the following questions on a separate of, 09 24 2012 034751pm, Frequency a2 a3 a1 a4 q1 q2 q3, Notes unit 8 interquartile range box plots and outliers, , Lecture 2 grouped data calculation, Ma131lecturenotes4, Unit 3 notes Calculation of Deciles for Ungrouped Data. Deciles of ungrouped data can be calculated with the help of following formula: Problem: The twelve donors donated the following amount in a charity fund: 500, 850, 925, 800, 600, 750, 650, 625, 800, 400, 725, and 550. Find D4, D7 and D9. Arrange data in ascending order Solution: Use the following data for the calculation of percentile rank. So, The Calculation of Rank can be done as follows-. R = P/100 (N+1) = 25/100 (9+1) Rank will be -. Rank = 2.5 th rank. Percentile Rank will be -. Since the rank is an odd number, we can take an average of 2 nd term and 3 rd term, which is (111 + 112)/ 2 = 111.50

Quartile - Decile - Percentile - YouTubeQuartiles, Deciles and Percentiles (Grouped Data)quartile percentile and decile for grouped data - Google

Quartiles, Percentiles Example Question CFA Level I

To calculate the quartile, we're going to use the PERCENTILEX.INC DAX function. The PERCENTILEX.INC function returns the number at the specified percentile. So for example, if I had numbers 0 and 100 in my data set, the 25th percentile value would be 25. The 50th percentile value would be 50 and the 75th percentile value would be 75, and you. 1. objectives •illustrate the following measures of position: quartiles, deciles and percentiles •calculate specified measure of position (e.g. 90th percentile) of a set of data. 2. quartile for grouped data •the quartiles are the score points which divide a distribution into four equal parts. 3. the quartile for grouped data 1 Quartiles for ungrouped data Example 5. The rice production (in Kg) of 10 acres is given as: 1120, 1240, 1320, 1040, 1080, 1720, 1600, 1470, 1750, and 1885. Find the quartiles for the given data. Solution. The formula for ith quartile is. Qi = Value of (i(n + 1) 4)th observation, i = 1, 2, 3 Quartiles, Deciles, and Percentiles. If a set of data is arranged in order of magnitude, the middle value ( or arithmetic mean of the two middle values) that divides the set into two equal parts is the median. By extending this idea we can think of those values which divide the set into four equal parts. These values denoted by Q 1, Q 2, Q 3. Generally, the notions of quartiles, quintiles, deciles, and percentiles are referred to as quantiles in general. A quartile divides a distribution in 4 (as in one-fourth), a quintile divides a distribution in 5 (as in one-fifth), and a decile divides a distribution in 10 (as in one-tenth)

Quartiles, Deciles and Percentiles (Grouped Data) | MBA

Quartiles, Deciles, & Percentiles With Cumulative Relative

But while quartiles sort data into four quarters, deciles sort data into ten equal parts: The 10th, 20th, 30th, 40th, 50th, 60th, 70th, 80th, 90th and 100th percentiles. A person who scored very low (say, the 5th percentile) would find themselves in a decile rank of 1 Bowley's Coefficient of Skewness for grouped data. Bowley's coefficient of skewness is based on quartiles of the data. It is based on the middle 50 percent of the observations of data set. It means the Bowley's coefficient of skewness leaves the 25 percent observations in each tail of the data set According to Wikipedia, for discrete distributions, there is no universally agreed method of calculating a Quantile, however in Excel one can simply use PERCENTILE function to calculate any arbitrary quantile. e.g.: to calculate 1 to 10th deciles: 1st decile is the 0.1 percentile, hence the C2/10 in the formula at D2. Similarly 1st Quartile i

Understand Quartiles, Deciles and Percentiles Group Data

Deciles. As you can see from the table below, deciles are a type of percentile where the data is split into tenths. Each decile contains 10% of the data, where each decile and corresponding decile is written in the table below. You can think of a percentile as splitting a data set into individual, 1% slices Recognize, describe, and calculate the measures of location of data: quartiles and percentiles. The common measures of location are quartiles and percentiles. Quartiles are special percentiles. The first quartile, Q1 Q 1, is the same as the 25 25 th percentile, and the third quartile, Q3 Q 3, is the same as the 75 75 th percentile Quartiles, Deciles and Percentile for Ungrouped Data - A Step by Step Solution in TAGALOG!! EC Math. Subscribe. DOWNLOAD. Views 38,391. 933. 29. Add to My Playlist Watch Leter Share Facebook Twitter Google Plus VK OK Reddit Share. Published on: 22 August 2019 Quartiles mark each 25% of a set of data: The first quartile Q 1 is the 25th percentile; The second quartile Q 2 is the 50th percentile; The third quartile Q 3 is the 75th percentile; The second quartile Q 2 is easy to find. It is the median of any data set and it divides an ordered data set into upper and lower halves When we are segmenting data into percentages we commonly are talking about quartiles, deciles and percentiles. Quartiles divide the data into four parts; deciles divide the data into 10 parts; percentiles divide the data into 100 parts. How do you find decile in grouped data? Find each cumulative frequency and each real interval. Remember the. In the formula Ruk= kN/10, what are the different values of k? 12. Using the table and the; Question: DECILE OF UNGROUPED AND GROUPED DATA (Provide a complete solution) 9. The scores of 12 students in a quiz are 12, 10, 10, 9, 15, 15, 15, 8, 9, 5, 9, 4. Find 09. A. 15 C. 16 B. 15.5 D. 16.5 10. Second quartile and fifth decile have the same.

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