Find the​ mean, median, and mode of the set of values.

Age​ (years)
10
11
12
13
14
15
16
Frequency
7
9
17
16
8
4
2
Question content area bottom
Part 1
Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
The mean is approximately
  
12.46 years. ​(Round to two decimal places as​ needed.)
Part 2
Find the median. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
The median is
  
enter your response here years.

1 answer

The mean is approximately 13.36 years.

To find the median, we first need to arrange the ages in ascending order:
10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16

The median is the middle value of the set, which in this case is the 40th value.
So the median is 13 years.

The mode is the value that appears most frequently in the set, which in this case is 12 years as it appears 17 times.