Question

calculate
a contractor records all of the bedroom areas, in square feet, of a five - bedroom house as:
100, 100, 120, 120, 180
what is the variance? 864
what is the standard d
options: 29.4, 32.9, 127.4, 432

Explanation:

Step1: Recall the formula for standard deviation

The standard deviation ($\sigma$) is the square root of the variance ($\sigma^2$). Given that the variance is 864, we use the formula $\sigma = \sqrt{\text{Variance}}$.

Step2: Calculate the square root of 864

We need to compute $\sqrt{864}$. First, simplify 864: $864 = 144\times6$. Then $\sqrt{864} = \sqrt{144\times6} = \sqrt{144}\times\sqrt{6} = 12\sqrt{6} \approx 12\times2.45 = 29.4$.

Answer:

29.4