Question

While calculating the mean of a given data by the assumed-mean method, the following values were obtained:

A = 25, ∑ f_id_i = 110, ∑ f_i = 50.

Find the mean.

Answer 1

According to assumed-mean method,

$$\begin{gathered} \overline{x}=A+\frac{{\displaystyle \sum _i}{f}_i{d}_i}{{\displaystyle \sum _i}{f}_i} \\ =25+\frac{110}{50} \\ =25+2.2 \\ =27.2 \end{gathered}$$

Thus, mean is 27.2.