Question

A random sample of 10 subjects have weights with a standard deviation of 11.352211.3522 kg. What is the variance of their​ weights?

Answer 1

The variance of their weights will be 128.872... kg²

Explanation

Suppose, the variance of their​ weights is $x$

Given that, the standard deviation is 11.3522 kg.

We know that, standard deviation is always the square root of the variance and if the standard deviation is in kg, then variance will be in kg². So......

$\sqrt{x} = 11.3522\\ \\ (\sqrt{x})^2 = (11.3522)^2\\ \\ x= 128.872....$

So, the variance of their weights will be 128.872... kg²

Answer 2

Based on the information given the variance of their​ weights is 128.87270 kg².

n=sample size=10

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

Let plug in the formula

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Inconclusion the variance of their​ weights is 128.87270 kg².

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