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36. Find the value that would be in the 15th percentile for the following data set:

{6, 10, 7, 2, 9, 8, 7, 3, 5)
a. 7
b. 6
c. 2
d. 3

User Dmanargias
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2 Answers

4 votes

Answer:

Explanation:

Answer: a. 7

User Shira
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5 votes

Answer: Choice D. 3

Work Shown:

Given set = {6, 10, 7, 2, 9, 8, 7, 3, 5}

Sorted set = {2, 3, 5, 6, 7, 7, 8, 9, 10}

P = 15 = percentile value

n = 9 = sample size, i.e. number of values in the set

R = index rank

R = (P/100)*(n + 1)

R = (15/100)*(9+1)

R = 1.5

This rounds to R = 2 when rounding to the nearest integer.

This R value tells us to look at the 2nd slot of the sorted data set. The value "3" is in the 2nd slot.

This is why the answer is choice D

User Palladin
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