Q9Single correct3 Marks23 Feb 2025

Consider a dataset of 40 items. Suppose the sum of the squared deviations from the mean is 10 and the total sum of all the items in the dataset is 80. Find the mean $\bar{x}$ and population standard deviation $\sigma$ of the dataset.

A

$\bar{x} = 2,\ \sigma = 0.25$

B

$\bar{x} = 2,\ \sigma = 0.5$

C

$\bar{x} = 3200,\ \sigma = 0.5$

D

$\bar{x} = 0.5,\ \sigma = 0.25$