The box-and-whisker plot represents the prices (in dollars) of the entrees at a restaurant.
a. Find and interpret the range of the data.

The range is

The prices vary by no more than | |$

b. Describe the distribution of the data.

The lower 25% of the prices are between | |$

and | |$

the middle 50% of the prices are between | |$

and $

and the upper 25% of the prices are between $

and | |$

c. Find and interpret the interquartile range of the data.

The interquartile range is | |

The middle half of the prices vary by no more than | |$

b. The lower 25% of the prices are between $8.75 and $10.5; the middle 50% of the prices are between $10.5 and $14.75; and, the upper 25% of the prices are between $14.75 and $18.25

c. Interquartile range (IQR) = $4.25

What is a Box-and-whisker Plot?

A box-and-whisker plot shows the five number summary which includes:

Lower Quartile (Q1)
Minimum Value
Median
Upper Quartile (Q3)
Maximum Value, of a data distribution.

Thus:

a. Range = Max - Min

Range = 18.28 - 8.75

Range = 9.5

b. The data distribution in the box-and-whisker plot can be described as:

The lower 25% of the prices are between $8.75 and $10.5

The middle 50% of the prices are between $10.5 and $14.75

The upper 25% of the prices are between $14.75 and $18.25.

c. Interquartile range (IQR) = Q3 - Q1

Interquartile range (IQR) = 14.75 - 10.5

Interquartile range (IQR) = $4.25

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