Question

Which of the options according to following distriution is/are correct(s):
$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{2}& \text{5}& \text{7}& \text{6}\end{array}$$

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

Answer 1

Answer: (B), (C)

The correct options are
B

15.35

C

15.55

$$\begin{array}{ccc}{x}_i& f_i& f_i{x}_i\\ \text{10}& \text{2}& \text{20}\\ \text{13}& \text{5}& \text{65}\\ \text{16}& \text{7}& \text{112}\\ \text{19}& \text{6}& \text{114}\\ & \sum f_i=20& \sum f_i{x}_i=311\end{array}$$

Mean = $\frac{\sum fx}{\sum f}$ = $\frac{311}{20}$ =15.55

Range = Max. Value - Min. Value
= 19 - 10
= 9