High School

Suppose that shoulder girth and height are collected from a random sample of adults in California. In the data set:

- Minimum shoulder girth: 85 cm
- Maximum shoulder girth: 139 cm
- Mean shoulder girth: 108.17 cm
- Standard deviation of shoulder girth: 10.61 cm
- Mean height: 171.63 cm
- Standard deviation of height: 9.3 cm
- Correlation between height and shoulder girth: 0.679

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

1) 54.83 cm
2) 53.83 cm
3) 54.17 cm
4) 53.17 cm

Answer :

Final answer:

The range of shoulder girth in the dataset is calculated by subtracting the minimum value from the maximum value, which results in a range of 54 cm.

Explanation:

The range of shoulder girth in the dataset can be found by subtracting the minimum shoulder girth from the maximum shoulder girth. Since the minimum shoulder girth is 85 cm and the maximum is 139 cm, you can calculate the range by subtracting 85 cm from 139 cm.

Range = Maximum shoulder girth - Minimum shoulder girth
= 139 cm - 85 cm
= 54 cm

Therefore, the range of shoulder girth in the data set is 54 cm, which corresponds to option 3) 54 cm.

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