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The average height of 15-year-old girls is 63.8 inches, with a standard deviation of 2.66 inches....

The average height of 15-year-old girls is 63.8 inches, with a standard deviation of 2.66 inches. A teacher surveys her class of thirty-three 15-year-old girls and finds an average height of 62.6 inches. What is the percentile rank for this sample? BTW the answer is not 32.64%.

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Answer #1

The average height of 15-year-old girls is 63.8 inches, with a standard deviation of 2.66 inches. A teacher surveys her class of thirty-three 15-year-old girls and finds an average height of 62.6 inches.

so, given, if X denotes the heights of 15 year old girls, then X ~ N(63.8,2.662)

then  

The teacher surveyed the class of 33, 15 year old girls. n=33, ,

Percentile rank for this sample:

So, percentile rank=  0.47%

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