Find the weighted mean of the numbers given in the following table.
Frequency | Value |
4 | 3 |
2 | 5 |
1 | 7 |
5 | 8 |
3 | 9 |
2 | 10 |
1 | 12 |
2 | 13 |
According to this table, the value 5 occurred 2 times, 8 occurred 5 times, 12 occurred 1 time, and so on. To find the mean, multiply each value by the frequency for that value. Then add the products. Add the values in the Frequency column to find the total number of values and then divide.
Weighted mean = \frac{\mathbf{154}}{\mathbf{20}} = 7.7
Product | Frequency | Value |
12 | 4 | 3 |
10 | 2 | 5 |
7 | 1 | 7 |
40 | 5 | 8 |
27 | 3 | 9 |
20 | 2 | 10 |
12 | 1 | 12 |
\underline{\ \ \ 26} | \underline{\ \ \ 2} | 13 |
154 | 20 | Totals |