Question

Any non-integer answers in this problem should be entered as decimals rounded to the tenth.

Answer 1

Answer:

The mean of the data set is 22.1 , and the sample proportion of numbers less than the mean is 0.53

Explanation:

.

1) Mean

Formula: mean = sum of values / number of data

sum of values = 25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6 = 331.5

number of data = 15

mean = 331.5 / 15 = 22.10

2) proportion of numbers less than the mean

This is easier if you order the data. These are the data in growing order:

15.3

17.9

18.2

18.2

19.6

20.2

20.7

21.4

---------

22.6

24.3

25.5

26

26.1

27

28.5

 The discontinues line shows the split of the data that are less than the mean.

Those are 8 numbers less than 22.1 and the proportion is:

8 / 15 = 0.53

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