Question

If the variance of the data $2,4,5,6,8,17$ is $23.33$, then the variance of $4,8,10,12,16,34$ is

• A. $23.23$
• B. $25.33$
• C. $46.66$
• D. $93.32$

Answer 1

The correct option is D $93.32$

Given observation is, 4, 8, 10, 12, 16, 34.
Here $n=6,\sum x_i^2=4^2+8^2+{10}^2+{12}^2+{16}^2+{34}^2=1736,\sum x_i=4+8+10+12+16+34=84$
Hence required variance $=\frac{\sum x_i^2}{n}-{\left(\frac{\sum x_i}{n}\right)}^2=93.33$