# Worksheet: Interquartile Range

Q1:

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

Q2:

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

Q3:

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

Q4:

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.

Q5:

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

Q6:

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

Q7:

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

• Arange: 93, interquartile range: 16
• Brange: 16, interquartile range: 24
• Crange: 24, interquartile range: 92
• Drange: 24, interquartile range: 16
• Erange: 93, interquartile range: 92

Q8:

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 Matthew Natalie Chloe Charlotte Jacob Daniel William 5 4 5 5 6 5 10
• Arange: 6, interquartile range: 6
• Brange: 10, interquartile range: 1
• Crange: 10, interquartile range: 6
• Drange: 6, interquartile range: 1

Q9:

Find the interquartile range of the grouped data in the table.

 Time Spent Studying Frequency 1–10 11–20 21–30 31–40 41–50 15 6 12 12 15

Q10:

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.

Q11:

Find the interquartile range of the data.

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

Q12:

The Bureau of Labor Statistics published the over-the-month percent change in the price index for imports from April 2004 to December 2004. Given that the table shows the published data, calculate the interquartile range.

 Month Index April May June July August September October November December − 0 . 3 − 1 . 2 − 1 . 5 0.9 2.0 − 0 . 1 1.2 − 0 . 1 0.4

Q13:

Is the interquartile range an example of a measure of center or a measure of variability?

• Aneither
• Bmeasure of center
• Cmeasure of variability

Q14:

Shown are the monthly subscription fees (in dollars) for various science magazines. Determine the range and the interquartile range for this data.

 18.37 17.83 20.16 18.76 24.64 20.57 23.74 18.33 15.98 23.39 20.11 17.93
• Arange , interquartile range
• Brange , interquartile range
• Crange , interquartile range
• Drange , interquartile range
• Erange , interquartile range

Q15:

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

• A8, 10, 9, 11, 9, 11 and 6, 9, 7, 11, 9, 11
• B21, 22, 14, 25, 28, 29 and 28, 24, 19, 17, 15, 17
• C26, 14, 21, 26, 23, 23 and 30, 23, 19, 15, 24, 14
• D8, 12, 13, 6, 5, 5 and 5, 13, 5, 8, 10, 10

Q16:

The given line plot shows the magnitudes of earthquakes that recently took place around the world. Determine the range and interquartile range of the data.

• Arange3.5, interquartile range0.5
• Brange0.5, interquartile range1.5
• Crange1.5, interquartile range3.3
• Drange1.5, interquartile range0.5
• Erange3.5, interquartile range3.3

Q17:

 Data Set 1 Data Set 2 25 22 28 51 26 28 29 21 27 19 26 24 23 28

Calculate the interquartile range for each data set.

• Adata set 1: 4, data set 2: 7
• Bdata set 1: 5, data set 2: 6
• Cdata set 1: 5, data set 2: 7
• Ddata set 1: 4, data set 2: 6
• Edata set 1: 6, data set 2: 4

What do the interquartile ranges reveal about the two data sets?

• AThe spread of the middle of the values is similar for both data sets.
• BThe mean of the two data sets should be the same.
• CThe median of the two data sets should be the same.
• DThe difference between the minimum and maximum values is similar for both data sets.
• EThe mode of the two data sets should be the same.

Q18:

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

Q19:

The table shows the savings of a group of 8 children. Determine the range and interquartile range of the data.

 Child Savings in Dollars Child 1 Child 2 Child 3 Child 4 Child 5 Child 6 Child 7 Child 8 34.00 30.10 27.00 21.90 31.00 46.30 38.20 43.80
• Arange=\$46.30, interquartile range=\$12.45
• Brange=\$12.45, interquartile range=\$24.40
• Crange=\$24.40, interquartile range=\$41.00
• Drange=\$24.40, interquartile range=\$12.45
• Erange=\$46.30, interquartile range=\$41.00