Question

1. the data set below represents the different costs of monthly internet service. $38, $56, $48, $72, $50, $66 a. what is the mean? b. what is the mean absolute deviation?

Explanation:

Step1: Calculate the sum of data

$38 + 56+48 + 72+50+66=330$

Step2: Calculate the mean

The number of data points $n = 6$. The mean $\bar{x}=\frac{330}{6}=55$

Step3: Calculate the absolute - deviations

$|38 - 55|=17$, $|56 - 55| = 1$, $|48 - 55|=7$, $|72 - 55| = 17$, $|50 - 55|=5$, $|66 - 55| = 11$

Step4: Calculate the sum of absolute - deviations

$17+1+7+17+5+11 = 58$

Step5: Calculate the mean absolute deviation

The mean absolute deviation $MAD=\frac{58}{6}\approx9.67$

Answer:

a. $55$
b. $\approx9.67$