Question

in the data set below, what is the mean absolute deviation? 6 7 6 4 4 if the answer is a decimal, round it to the nearest tenth. mean absolute deviation (mad):

Explanation:

Step1: Calculate the dataset mean

$\text{Mean} = \frac{6 + 7 + 6 + 4 + 4}{5} = \frac{27}{5} = 5.4$

Step2: Find absolute deviations

$|6-5.4|=0.6$, $|7-5.4|=1.6$, $|6-5.4|=0.6$, $|4-5.4|=1.4$, $|4-5.4|=1.4$

Step3: Calculate MAD of deviations

$\text{MAD} = \frac{0.6 + 1.6 + 0.6 + 1.4 + 1.4}{5} = \frac{5.6}{5} = 1.12$

Step4: Round to nearest tenth

$1.12 \approx 1.1$

Answer:

1.1