Question

find the standard deviation, σ, of the data. 87, 94, 103, 84, 112, 90 (overline{x}=95) variance((σ^{2}) = 94) (σ=) round to the nearest tenth.

Explanation:

Step1: Recall the formula for standard deviation

The standard deviation $\sigma$ is the square root of the variance $\sigma^{2}$. So, $\sigma=\sqrt{\sigma^{2}}$.

Step2: Substitute the value of variance

Given $\sigma^{2} = 94$, then $\sigma=\sqrt{94}$.

Step3: Calculate the square - root

Using a calculator, $\sqrt{94}\approx9.7$ (rounded to the nearest tenth).

Answer:

$9.7$