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First arrange the data set in ascending order.

Suppose the data set consists of n observations.

the index for the lower quartile is (n + 1)/4

and the index for the upper quartile is 3*(n + 1)/4.

Find the values that correspond to the number in these positions in the ordered list.

For example, if n = 15, then lower index = 4 and upper index = 12.

So the lower quartile is the fourth number and the upper quartile is the twelfth.

If n is large, you may skip the +1 and just look at n/4 and 3n/4.

Often the indices are not integers. Then, if you are a beginner (nd the fact that you asked this question suggests that you are), find the nearest whole numbers for the two indices. Otherwise you need to interpolate and that is a whole new ball game!

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Q: How do you find the quartiles of a data set?
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Related questions

How many quartiles are there?

There are 5 quartiles in any data set.


How do you find the inner and outer quartiles?

To find the inner quartiles (Q1 and Q3), first arrange your data in ascending order. Q1 is the median of the lower half of the data, and Q3 is the median of the upper half. The inner quartiles divide the data into four equal parts. The outer quartiles also known as the minimum and maximum values, are the smallest and largest values in the data set.


How do you find the IQR of a set of data?

Iqr stands for inter quartile range and it is used to find the middle of the quartiles in a set of data. To find this, you find the lower quartile range and the upper quartile range, and divide them both together.


How do you find a quartile.?

Given a set of data, order the observations by size. Then divide the set into four such that each part contains a quarter of the observations. These are the quartiles.


How do you find the 25 percentile and the 75 percentile of a university?

find the median of the set of data. and then find the quartiles. Q1 would be the 25th and Q3 would be the 75th


Three values one of which is the median that divide a data set into fourths?

Quartiles.


What are the three numbers that separate a set of data into four parts called?

quartiles


What is a representation of data that shows the extremes and quartiles of a data set?

Probably the box and whiskers plot, but there are others.


What is a lower quartile?

A lower quartile i s the mediaon of the lower half of a data set. A data set is divided up into different quartiles.


How do you calculate the first and third quartiles on a Casio fx-115 es?

The Casio fx-115 ES is a scientific calculator which you can use to calculate the first and third quartiles of a data set. To calculate the first and third quartiles, you first need to arrange the data set in ascending or descending order. Once the data set is arranged, you can use the following steps to calculate the first and third quartiles: Enter the data set into the calculator by pressing the Data/Matrix button. Once the data set is entered, press the STAT button and then the VARS button. Select the data set by pressing the number key that corresponds to the data set. Access the QUARTILE option by pressing the 5 key. Enter the number 1 to calculate the first quartile or enter the number 3 to calculate the third quartile. The calculator will display the first or third quartile of the data set. These steps can be used to calculate the first and third quartiles on a Casio fx-115 ES.


What type of graph is best suited for graphing the quartiles of a set of data?

A Box and Whisker Plot


What type of graph is best for revealing the upper and lower quartiles of a set of data?

box-and-whisker plot