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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 MemberMichaelNatalieMadisonJenniferJacobJamesJackson
Number of Artifacts54556510
  • 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.

MonthAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember
Change in Production (%)0.31.21.50.920.11.20.10.4

Q9:

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

LanguageGreekArmenianBengaliUrdu SpanishHindi KoreanHebrew
Number of Speakers304,900246,900800,000373,80037,580,000648,9001,410,000216,300
  • Arange =37,363,700, interquartile range =829,100
  • Brange =37,580,000, interquartile range =829,100
  • Crange =37,363,700, interquartile range =829,099
  • Drange =37,580,000, interquartile range =1,105,000
  • Erange =829,100, interquartile range =37,363,700

Q10:

Find the interquartile range of the data.

Score16141936171839
Frequency2353135

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

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