Solveeit Logo

Question

Mathematics Question on Variance and Standard Deviation

The variance of the following continuous frequency distribution is

A

201

B

62

C

19

D

84

Answer

84

Explanation

Solution

Given xˉ=xifiN=19010=19\because \bar{x}=\frac{\sum x_{i} f_{i}}{N}=\frac{190}{10}=19 \therefore Variance (σ)2=1NΣfi(xˉxi)2(\sigma)^{2}=\frac{1}{N} \Sigma f_{i}\left(\bar{x}-x_{i}\right)^{2} =110(840)=84=\frac{1}{10}(840)=84