Question

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the daily wages paid to five workers are $25, $40, $65, $55, and $50. what is the mean absolute deviation of this data set? round your answer to one decimal point if necessary.

Explanation:

Step1: Calculate the mean wage

First, sum all wages and divide by the number of workers.
$\text{Mean} = \frac{25 + 40 + 65 + 55 + 50}{5} = \frac{235}{5} = 47$

Step2: Find absolute deviations

Subtract the mean from each wage, take absolute values.
$|25 - 47| = 22$, $|40 - 47| = 7$, $|65 - 47| = 18$, $|55 - 47| = 8$, $|50 - 47| = 3$

Step3: Calculate mean of deviations

Sum the absolute deviations and divide by the number of workers.
$\text{Mean Absolute Deviation} = \frac{22 + 7 + 18 + 8 + 3}{5} = \frac{58}{5} = 11.6$

Answer:

11.6