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In: Statistics and Probability

Below are 36 sorted ages of an acting award winner. Find Upper P 10 using the...

Below are 36 sorted ages of an acting award winner. Find Upper P 10 using the method presented in the textbook. 16,16,22,22,23,23,25,26,26,30,30,32,33,38,39,40,42,42,43,45,45,48,50,57,58,59,62,62,62,64,68,74,76,76,76,79

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Solution :

Below are 36 sorted ages of an acting award winner. We have to find the Upper P 10 using the method.

16,16,22,22,23,23,25,26,26,30,30,32,33,38,39,40,42,42,43,45,45,48,50,57,58,59,62,62,62,64,68,74,76,76,76,79.

We know the below Statistical formula for calculating the pth Percentile of a given set of values.

Since the position of a value cannot be fractional, thus, we will round it off to the next whole number.

16,16,22, (22) ,23,23,25,26,26,30,30,32,33,38,39,40,42,42,43,45,45,48,50,57,58,59,62,62,62,64,68,74,76,76,76,79.

So, in the data set, the ith = 4th value is 22. Thus, 22 is the Upper 10th Percentile of the given data set.

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