# Lesson Worksheet: Interquartile Range Mathematics • 6th Grade

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 Number of Artifacts Michael Natalie Madison Jennifer Jacob James Jackson 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 Change in Production (%) April May June July August September October November December −0.3 −1.2 −1.5 0.9 2 −0.1 1.2 −0.1 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 Number of Speakers Greek Armenian Bengali Urdu Spanish Hindi Korean Hebrew 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 Frequency 16 14 19 36 17 18 39 2 3 5 3 1 3 5

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