Question

Obtain the mean of the following distribution:

Variable (xi)	4	6	8	10	12
Frequency (fi)	4	8	14	11	3

Answer 1

We know that,
Mean = $\frac{{\displaystyle \sum _{}{x}_i{f}_i}}{\sum _{}{f}_i}$

For the following data:

Variable (xi)	4	6	8	10	12
Frequency (fi)	4	8	14	11	3

Mean = $\frac{\left(4\times 4\right)+\left(6\times 8\right)+\left(8\times 14\right)+\left(10\times 11\right)+\left(12\times 3\right)}{4+8+14+11+3}$
= $\frac{16+48+112+110+36}{40}$
= $\frac{322}{40}$
= 8.05

Hence, the mean of the following distribution is 8.05 .