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Lesson: Finding the Quartiles of a Data Set

In this lesson, we will learn how to find the median and upper and lower quartiles of a data set.

Sample Question Videos

Worksheet • 13 Questions • 3 Videos

Q1:

Determine the median and quartiles of the following set of data: 1 350, 1 400, 1 250, 1 050, 1 450, 1 150, 1 000.

A The median is 1 250, and the quartiles are 1 050 and 1 400.
B The median is 1 250, and the quartiles are 1 150 and 1 350.
C The median is 1 350, and the quartiles are 1 050 and 1 400.
D The median is 1 250, and the quartiles are 1 100 and 1 375.

Q2:

The table shows DVD prices in dollars at various stores. What are the lower and upper quartiles of the data?

19.86	23.82	17.27	24.01
23.56	18.74	16.79	15.57
23.39	20.86	23.04	20.25

Alower quartile = 18.005, upper quartile = 23.475
Blower quartile = 20.555, upper quartile = 23.475
Clower quartile = 23.475, upper quartile = 18.005
Dlower quartile = 18.005, upper quartile = 20.555
Elower quartile = 18.74, upper quartile = 20.25

Q3:

Select the pair of data sets which have the same median and quartiles, but different ranges.

A10, 10, 9, 11, 7, 8 and 6, 8, 10, 21, 9, 10
B83, 77, 73, 88, 71, 84 and 69, 68, 58, 57, 62, 73
C16, 15, 25, 20, 16, 28 and 17, 15, 15, 28, 27, 20
D58, 68, 57, 58, 54, 69 and 58, 69, 58, 54, 59, 57
E30, 41, 34, 34, 35, 49 and 31, 35, 42, 50, 35, 36

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