Question

The heights of women in college follow a Normal distribution with a mean of 65 inches and a standard deviation of 2.5 inches. Determine the percentage of women with a heightless than 5 feet 7 inches.

Answer 1

The percentage of 5 7 inches should be very less because on average the height is 65 and that is what it means by mean of the data and the standard deviation is 2.5 that means on average the height goes up or down by 2.5 inches from the mean so what it means is that there can be (65+2.5) Inches or (65-2.5) Inches. now let us sort of do a mathematical guess of this percentage.

`5ft=60inches\rightarrow\therefore(60)/(65)\cdot100=92.30\text{ percent}`
`(7)/(65)\cdot100=10.76\text{ percent}`

We have done a guess that is very close to the actual guess.