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Chapter 2: Q 37. (page 108)

The number of absences during the fall semester was recorded for each student in a large elementary school. The distribution of absences is displayed in the following cumulative relative frequency graph.

What is the interquartile range (IQR) for the distribution of absences?

a. 1

b. 2

c. 3

d. 5

e. 14

Short Answer

Expert verified

The correct option is (c)3

Step by step solution

01

Given information

02

Concept

We can investigate the location in a distribution using a cumulative relative frequency graph. You can estimate the percentile for an individual value using the completed graph, and vice versa.

03

Calculation

The difference between the first and third quartiles is the interquartile range.

The 1st quartile's characteristic demonstrates that 25% of the data values are below it.

The 3rd quartile's characteristic demonstrates that 75% of the data values are below it.

From the graph, we can see that2

1st quartile (or 25%) is at absences.

Such that

Q1=2

And

3rd quartile (or 75%) is at 5 absences.

Such that

Q2=5

The difference between the 1st and 3rd quartile gives the interquartile range.

Thus,

IQR=Q3-Q1=5-2=3

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