Based on visual inspection, group A most likely has a lower mean age of music students.
What is mean?
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
It is one of the three ways to calculate the measure of central tendency of the data. Thus, the mean of the data must lie in the center of the spread.
Although, mean is affected significantly by extreme values, there doesn't seem to be any in the two given datasets. So, we simply go ahead with the idea of center of the dataset (or the x values).
Based on the data given-
Group A:
x f
6 5
8 5
9 3
11 7
13 5
Group B:
x f
6 2
10 4
13 4
15 3
16 5
19 4
21 3
The central value or tentative mean for group A is 9. Similarly, for group B it is 15. Thus, it is safe to assume that group A has a lower mean than group B.
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