The distribution of a sample of 100 test scores is mound-shaped and symmetrical, with a mean of 50 and a variance of 144. What score corresponds to the 75th percentile? The answer I got is 58.08 however the answer according to my professor is 58.82. How do I get the correct answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 18PFA
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The distribution of a sample of 100 test scores is mound-shaped and symmetrical, with a mean of 50 and a variance of 144. What score corresponds to the 75th percentile?

The answer I got is 58.08 however the answer according to my professor is 58.82. How do I get the correct answer

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