Question

which number is the best estimate of the standard deviation for the distribution shown? (1 point) 10 8 20 4

Explanation:

Step1: Estimate the range

The data ranges approximately from \(2\) to \(38\). The range \(R = 38 - 2=36\).

Step2: Use the range - rule - of - thumb

The range - rule - of - thumb states that \(s\approx\frac{R}{4}\) (for a roughly bell - shaped distribution). Substituting \(R = 36\) into the formula, we get \(s\approx\frac{36}{4}=9\). Among the given options (\(18\), \(8\), \(20\), \(4\)), \(8\) is the closest to our estimate.

Answer:

\(8\)