High School

Suppose that shoulder girth and height are collected from a random sample of adults in California. In the data set, the minimum shoulder girth is 85 cm and the maximum shoulder girth is 139 cm. The mean shoulder girth is 109.71 cm with a standard deviation of 11.33 cm. The mean height is 171.33 cm with a standard deviation of 9.47 cm. The correlation between height and shoulder girth is 0.672.

What is the range of shoulder girth in the data set?

1) 54.29 cm
2) 63.62 cm
3) 54.42 cm
4) 63.71 cm

Answer :

Final answer:

The range of shoulder girth in the dataset is 54 cm, calculated by subtracting the minimum value (85 cm) from the maximum value (139 cm).

Explanation:

The range of shoulder girth in the dataset is the difference between the maximum and minimum values. To find the range, we simply subtract the minimum shoulder girth from the maximum shoulder girth.

Range = Maximum shoulder girth - Minimum shoulder girth

Range = 139 cm - 85 cm

Range = 54 cm

Therefore, the range of shoulder girth in the data set is 54 cm, which corresponds to option 3) 54.42 cm when considering two decimal places.

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