Question

Rin incorrectly calculated the mean absolute deviation for the data set 25,25,31,36,38.Her work is shown here. 1. Find the mean. Mean = 25 + 25 + 31 + 36 + 38 5 = 155 5 = 31 2. Find each absolute deviation. Absolute deviations:6,6,0,5,7 3. Find the mean absolute deviation. MAD = 6 + 0 + 5 + 7 4 = 18 4 = 4.5 In which step did Rin make an error?

Answer 1

In Step 3 was Her Mistake

Answer 2

Rin did mistake in 3rd step

Explanation:

Mean is correct according to rin's calculation

Absolute mean deviation is |data value-mean|

Hence, values of absolute deviations are also correct

To find the Mean absolute deviation we sum the differences of absolute deviations and then divide by the number of observations

it should be 6+6+0+7+5=24/5=4.8

Not 18/4

Hence, Rin did mistake in 3rd step