Question

Suppose in a certain year, the following are the percentage profitability data (%) for top 15 American corporations:

64, 61, 60, 48, 45, 44, 37, 36, 35, 32, 32, 26, 24, 18, 8

The lower quartile of percentage profitability is: (answer to one decimal place) ?

The upper quartile of percentage profitability is: (answer to one decimal place) ?

The sample standard deviation of percentage profitability is: (answer to two decimal places) ?

Answer 1

#The first quartile ( lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

8 18 24 26 32 32 35 36 37 44 45 48 60 61 64

So, the bottom half is

8 18 24 26 32 32 35

The median of these numbers is 26.

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So, the upper half is

37 44 45 48 60 61 64

The median of these numbers is 48

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