Question

Below are 36 sorted ages of an acting award winner. Find P75 using the method presented in the textbook. 0 20 23 16 38 47 68
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Answer #1

Solution :

What is a Quartile?

A Quartile divides a rank-ordered set into four equal parts.The values are called first(Q1), second(Q2) and third (Q3) quartile.

In that Q1 =P25

Q2 = P50

Q3 = P75

The formula of locator is given by :

L = (k/100) * n

Here n = 36 - Total number of observations

k = 75

Therefore

L = 0.75 * 36 =27

Thus P75 is the 27th value in sorted data i.e 64.

P75 = 64

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