Question

For the following distribution, choose the correct options

$$\begin{array}{ccccc}{x}_i& 10& 13& 16& 19\\ f_i& 2& 5& 7& 6\end{array}$$

• A. 15.2
• B. 15.35
• C. 15.55
• D. 16

Answer 1

Answer: (C), (D)

The correct options are
C

15.55

D

16

Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations. So,
$\text{mean}=\frac{\sum x_i{f}_i}{\sum f_i}$

$\sum x_i$$f_i=20+65+112+114=311$
and
$\sum f_i=20$

So,
$\text{mean}=\frac{\sum x_i{f}_i}{\sum f_i}=\frac{311}{20}=15.55$

The frequency of 16 is 7 which is the maximum for the given data. Hence mode is 16.