EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the...

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EXAMPLE 2 Interpret a box-and- whisker plot PRECIPITATION The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas and in Houston, Texas.

Transcript of EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the...

Page 1: EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas.

EXAMPLE 2 Interpret a box-and-whisker plot

PRECIPITATION

The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas and in Houston, Texas.

Page 2: EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas.

EXAMPLE 2 Interpret a box-and-whisker plot

a. For how many months is Houston’s precipitation less than 3.5 inches?

SOLUTION

a. For Houston, the lower quartile is 3.5. A whisker represents 25% of the data, so for 25% of 12 months, or 3 months, Houston has less than 3.5 inches of precipitation.

Page 3: EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas.

EXAMPLE 2 Interpret a box-and-whisker plot

b. Compare the precipitation in Dallas with the precipitation in Houston.

SOLUTION

For Dallas, the interquartile range is 3.2 – 2.3, or 0.9 inch. For Houston, the interquartile range is 4.4 – 3.5 = 0.9 inch. So, the cities have the same variation in the middle 50% of the data. The range for Dallas is greater than the range for Houston. When all the data are considered, Dallas has more variation in precipitation.

b. The median precipitation for a month in Dallas is 2.6 inches. The median for Houston is 3.8 inches. In general, Houston has more precipitation.

Page 4: EXAMPLE 2 Interpret a box-and-whisker plot PRECIPITATION The box-and-whisker plots below show the normal precipitation (in inches) each month in Dallas.

GUIDED PRACTICE for Example 2

PRECIPITATION2.

In Example 2, for how many months was the precipitation in Dallas more than 2.6 inches?

ANSWER

6 months


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