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In a statistic class, 10 scores were randomly selected with the following results were obtained: 74,...

In a statistic class, 10 scores were randomly selected with the following results were obtained: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66 What is the 65 th percentile? please show all ways and formulas used to solve this- the answer should be 74 but please show all methods of how to solve

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Answer #1

The given data points are 73,77,77,71,68,65,77,67,66

First of all, arrange the data in ascending order, you will get

a new set of data as 65,66,67,68,71,73,74,77,77,77

we have to find 65th percentile of the data.

No. of observation is 10

10*0.65 =6.5 ~7 (take the value after round off)

In a new set of data, 7th observation is 74. So, the 65th percentile of the data is 74.

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