It may be easier to calculate the median and mode if you rearrange the numbers first.
Mean: 15.228 Median: 15 Mode: 15
Practice makes perfect
We want to find the mean, median, and mode of the given set of values.
Age (Years)
Frequency
13
7
14
12
15
18
16
9
17
5
18
4
19
2
Total
= 57
The frequency table shows how often each age occurs in the given data set.
Let's proceed to finding the mean, median, and mode.
Mean
The mean of a data set is calculated by finding the sum of all values in the set and then dividing by 57, the number of values in the set. In order to find the sum, we need to add the products of each age and their corresponding frequency.
To identify the median, we observe the middle value. The number of values in the data set is odd and equal to 57; therefore, we can divide the data set into the lower half and upper half.
We can see that the middle value in this set is 15, so this is our median.
Mode
The mode of a data set is the value that occurs more frequently than others. Looking at the frequency table that we were given, we should identify an age value that has the highest corresponding frequency.
Age (Years)
Frequency
13
7
14
12
15
18
16
9
17
5
18
4
19
2
We can see that 15 occurs most frequently, so there is one mode in this set.
