A normal distribution has a mean of 140 and a

Linda Seales

Linda Seales

Answered question

2022-01-19

A normal distribution has a mean of 140 and a standard deviation of 40. How do you calculate the percentile rank of a score of 172?

Answer & Explanation

Shannon Hodgkinson

Shannon Hodgkinson

Beginner2022-01-19Added 34 answers

Explanation:
The question requires z-scores.
The formula is:
z=xμσ
Where x = the given value
μ= the mean
σ= the standard deviation
Or
z=your value  the actual meanSD
(SD=Standard Deviation)
Plug in the values:
z=1724040
z=.8
The probability that corresponds to the z score is .7881

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