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In this lesson, we will learn how to find the interquartile range.

Q1:

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

Q2:

Q3:

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:

Q7:

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

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.

Q9:

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

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.

Q12:

The Bureau of Labor Statistics published the over-the-month percent change in the price index for imports from April 2,004 to December 2,004. Given that the table shows the published data, calculate the interquartile range.

Q13:

Is the interquartile range an example of a measure of center or a measure 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.

Q15:

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

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.

Q17:

Calculate the interquartile range for each data set.

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

Q18:

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

Q19:

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

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