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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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Most popular questions from this chapter

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Put a lid on it! At some fast-food restaurants, customers who want a lid for their drinks get them from a large stack left near straws, napkins, and condiments. The lids are made with a small amount of flexibility so they can be stretched across the mouth of the cup and then snuggly secured. When lids are too small or too large, customers can get very frustrated, especially if they end up spilling their drinks. At one particular restaurant, large drink cups require lids with a 鈥渄iameter鈥� of between 3.95and 4.05inches. The restaurant鈥檚 lid supplier claims that the mean diameter of their large lids is 3.98inches with a standard deviation of 0.02inches. Assume that the supplier鈥檚 claim is true.

(a) What percent of large lids are too small to fit? Show your method.

(b) What percent of large lids are too big to fit? Show your method.

(c) Compare your answers to (a) and (b). Does it make sense for the lid manufacturer to try to make one of these values larger than the other? Why or why not?

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