Question

The mean of the following distribution is:

$\begin{array}{cccccc}x:& 10& 12& 20& 25& 35\\ f:& 3& 10& 15& 7& 5\end{array}$

• A. 42
• B. 22
• C. 20
• D. 40

Answer 1

The correct option is C

20

$\begin{array}{ccc}{x}_i& f_i& x_i\times f_i\\ 10& 3& 30\\ 12& 10& 120\\ 20& 15& 300\\ 25& 7& 175\\ 35& 5& 175\\ Total& 40& 800\end{array}\therefore Mean\left(\overline{x}\right)=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{800}{40}=20Hence\overline{x}\left(Mean\right)=20$