Question

Consider the frequency distribution of the given numbers

$\begin{array}{ccccc}\text{Value}& 1& 2& 3& 4\\ \text{Frequency}& 5& 4& 6& f\end{array}$

If the mean is known to be 3, then the value of $f$ is

• A. 3
• B. 7
• C. 10
• D. 14

Answer 1

The correct option is D

14

Mean = $\frac{\sum f_i{x}_i}{N}$

$=\frac{31+4f}{15+f}=3$

$\Rightarrow 31+4f=45+3f$

$\Rightarrow f=14$