Lesson Worksheet: Interquartile Range Mathematics • 6th Grade

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In this worksheet, we will practice finding the interquartile range.

Q1:

Using the given box-and-whisker plot, find the interquartile range of the data.

Q2:

Find the interquartile range of this set of data: 29.7, 36.2, 29.1, 11.7, 45.3, 19.6, 42.8, 57.9, 51.9, 42.9, 51.2, 5.4, 29.2, 15.4, and 11.6.

Q3:

Find the interquartile range of this set of data: 96, 52, 87, 114, 76, 101, 76, 114, 99, 96, 88, 111, 88, 94, 53.

Q4:

Mason’s math test scores are 90, 92, 69, 76, 93, and 84. Find the range and interquartile range of his scores.

ARange: 16, interquartile range: 24
BRange: 24, interquartile range: 16
CRange: 93, interquartile range: 92
DRange: 93, interquartile range: 16
ERange: 24, interquartile range: 92

Q5:

The table shows the number of artifacts found by each member of an expedition during an excavation at a historical site. Find the range and the interquartile range of the data.

Expedition Member	Michael	Natalie	Madison	Jennifer	Jacob	James	Jackson
Number of Artifacts	5	4	5	5	6	5	10

ARange: 10, interquartile range: 1
BRange: 6, interquartile range: 6
CRange: 6, interquartile range: 1
DRange: 10, interquartile range: 6

Q6:

Which two sets of data have the same range but different interquartile ranges?

A26, 14, 21, 26, 23, 23 and 30, 23, 19, 15, 24, 14
B21, 22, 14, 25, 28, 29 and 28, 24, 19, 17, 15, 17
C8, 12, 13, 6, 5, 5 and 5, 13, 5, 8, 10, 10
D8, 10, 9, 11, 9, 11 and 6, 9, 7, 11, 9, 11

Q7:

A set of data’s minimum is 1.71, its lower quartile is 2.05, its median is 6.86, its upper quartile is 7.99, and its maximum is 14.16. Determine its interquartile range.

Q8:

The table shows the percentage change in a factory production over 9 months. Calculate the interquartile range of the given data.

Month	April	May	June	July	August	September	October	November	December
Change in Production ()				0.9	2		1.2		0.4

Q9:

The table shows some non-English languages spoken by some of the US population. Determine the range and interquartile range of the data.

Language	Greek	Armenian	Bengali	Urdu	Spanish	Hindi	Korean	Hebrew
Number of Speakers	304,900	246,900	800,000	373,800	37,580,000	648,900	1,410,000	216,300

Arange , interquartile range
Brange , interquartile range
Crange , interquartile range
Drange , interquartile range
Erange , interquartile range

Q10:

Find the interquartile range of the data.

Score	16	14	19	36	17	18	39
Frequency	2	3	5	3	1	3	5

This lesson includes 9 additional questions and 126 additional question variations for subscribers.

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