Question

a data set is given for the number of bags of doritos that are eaten each month by students. 11, 7, 4, 8, 2, 6, 4 mad (mean absolute deviation)- remember to find the distance each value is away from the mean. then average those numbers. *answer will have a decimal to the nearest tenth.

Explanation:

Step1: Calculate the mean

First, sum all values then divide by count.
$\text{Mean} = \frac{11 + 7 + 4 + 8 + 2 + 6 + 4}{7} = \frac{42}{7} = 6$

Step2: Find absolute deviations

Compute $|x_i - \text{Mean}|$ for each value.
$|11-6|=5,\ |7-6|=1,\ |4-6|=2,\ |8-6|=2,\ |2-6|=4,\ |6-6|=0,\ |4-6|=2$

Step3: Calculate MAD of deviations

Sum deviations, divide by count, round to tenth.
$\text{MAD} = \frac{5 + 1 + 2 + 2 + 4 + 0 + 2}{7} = \frac{16}{7} \approx 2.3$

Answer:

2.3