The 1Mile Run is a common test for assessing physical fitnes

The 1-Mile Run is a common test for assessing physical fitness. Among college males the 1-Mile Run time is normally distributed with a mean of 436 seconds and standard deviation of 65 seconds.

What is the third quartile of this population?

Solution

If Q3 is the III quartile

then P(X<=Q3) = 0.75

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X follows a normal distribution with mean = 436 and sd = 65 sec.

Z score for Q3 = 0.675

Hence x score =436+ 0.675(65)

= 479.875

III quartile for this population = 479.875