Question

find the standard deviation, (sigma), of the data. 156, 90, 146, 132, 122, 134 (overline{x}=130) variance((sigma^{2}) = 436) (sigma=) 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 \(\sigma^{2} = 436\), then \(\sigma=\sqrt{436}\).

Step3: Calculate the square - root

Using a calculator, \(\sqrt{436}\approx20.9\) (rounded to the nearest tenth).

Answer:

\(20.9\)