Question

sixth grade > jj.6 calculate mean absolute deviation juv
in the data set below, what is the mean absolute deviation?
5 8 1 3 5 4 2
if the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (mad):

Explanation:

Step1: Calculate the data mean

First, sum all values, then divide by the count of values.
Sum: $5 + 8 + 1 + 3 + 5 + 4 + 2 = 28$
Count of values: $7$
Mean: $\frac{28}{7} = 4$

Step2: Find absolute deviations

Subtract the mean from each value, take absolute values.
$|5-4|=1$, $|8-4|=4$, $|1-4|=3$, $|3-4|=1$, $|5-4|=1$, $|4-4|=0$, $|2-4|=2$

Step3: Calculate MAD of deviations

Sum the absolute deviations, divide by the count of values.
Sum of deviations: $1 + 4 + 3 + 1 + 1 + 0 + 2 = 12$
MAD: $\frac{12}{7} \approx 1.7$

Answer:

1.7