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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