Question

grade > 11.6 calculate mean absolute deviation juv

in the data set below, what is the mean absolute deviation?
64 47 47 25 19 88 25
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, divide by count.
$\text{Mean} = \frac{64 + 47 + 47 + 25 + 19 + 88 + 25}{7} = \frac{315}{7} = 45$

Step2: Find absolute deviations

Compute $|x_i - \text{Mean}|$ for each value:
$|64-45|=19$, $|47-45|=2$, $|47-45|=2$, $|25-45|=20$, $|19-45|=26$, $|88-45|=43$, $|25-45|=20$

Step3: Calculate MAD of deviations

Sum deviations, divide by count, round to tenth.
$\text{MAD} = \frac{19 + 2 + 2 + 20 + 26 + 43 + 20}{7} = \frac{132}{7} \approx 18.9$

Answer:

18.9