Question

the depths (in inches) at which 10 artifacts are found are listed. complete parts (a) and (b) below. 24.8 28.7 22.4 40.6 46.9 30.7 30.8 25.8 32.5 37.6 (a) find the range of the data set. range = (round to the nearest tenth as needed.)

Explanation:

Step1: Find the maximum value

The given data set is \(24.8, 28.7, 22.4, 40.6, 46.9, 30.7, 30.8, 25.8, 32.5, 37.6\).
By comparing these values, the maximum value \(M = 46.9\).

Step2: Find the minimum value

By comparing the values in the data set, the minimum value \(m=22.4\).

Step3: Calculate the range

The formula for the range \(R\) of a data set is \(R = M - m\).
Substitute \(M = 46.9\) and \(m = 22.4\) into the formula: \(R=46.9 - 22.4\).
\(R = 24.5\)

Answer:

\(24.5\)