Question

roy asked his classmates to report their families cell phone bills for a research project. 7 students responded, reporting: $15.00 $84.00 $75.00 $16.00 $60.00 $57.00 $71.00 what was the mean absolute deviation of the cell phone bills? if the answer is a decimal, round it to the nearest ten cents. mean absolute deviation (mad): $

Explanation:

Step1: Calculate the mean

First, find the sum of the data: \(15 + 84+75 + 16+60 + 57+71=378\).
The number of data points \(n = 7\).
The mean \(\bar{x}=\frac{378}{7}=54\).

Step2: Calculate the absolute deviations

For \(15\): \(|15 - 54|=39\)
For \(84\): \(|84 - 54|=30\)
For \(75\): \(|75 - 54|=21\)
For \(16\): \(|16 - 54|=38\)
For \(60\): \(|60 - 54|=6\)
For \(57\): \(|57 - 54|=3\)
For \(71\): \(|71 - 54|=17\)

Step3: Calculate the mean of the absolute deviations

Sum of absolute deviations: \(39+30 + 21+38+6+3+17=154\)
Mean absolute deviation \(MAD=\frac{154}{7}=22\)

Answer:

\(22.00\)