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olya-2409 [2.1K]
4 years ago
15

The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia

tion of 2.5 inches. Between what two heights do the middle 95% of women fall?
Mathematics
1 answer:
Lena [83]4 years ago
6 0
The 68 - 95 - 99.7 rule, gives the basis to solve this question.

It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.

Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches

mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches

mean +  2 standard deviations = 64.5 inches + 5 inches = 69.5 inches

Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.

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