Question

The distribution of heights of the twelve-year-old boys on Tim's rugby team had a mean of 150 cm and a standard deviation of 10 cm. What will be the mean and standard deviation of the distribution of heights in feet? 1 cm approximately equals 0.033 ft.

a. A Mean: 4.95 ft, Standard deviation: 0.33 ft
b. Mean: 4.95 ft, Standard deviation: 10 ft
c. Mean: 150 ft, Standard deviation: 0.33 ft
d. Mean: 150 ft, Standard deviation: 10 ft

Answer 1

The mean height of the distribution in feet is 4.95 ft and the standard deviation is 0.33 ft.

Step-by-step explanation:

To convert the mean height from centimeters to feet, we use the conversion factor of 0.033 ft/cm. Multiply the mean height in centimeters (150 cm) by the conversion factor to get the mean height in feet: 150 cm * 0.033 ft/cm = 4.95 ft.

Next, to convert the standard deviation from centimeters to feet, multiply the standard deviation in centimeters (10 cm) by the conversion factor: 10 cm * 0.033 ft/cm = 0.33 ft.

Therefore, the mean height of the distribution in feet is 4.95 ft and the standard deviation is 0.33 ft.