Question

Step 1: Find the mean. mean = StartFraction 32 + 4 + 12 + 40 + 20 + 24 Over 6 EndFraction = 22 Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. M A D = StartFraction 10 + 18 + 10 + 18 + 2 + 2 Over 4 EndFraction = 15 What is Stefano's error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.

Answer 1

Answer:

(C)Stefano should have divided by 6 when finding the mean absolute deviation.

Step-by-step explanation:

Step 1: Find the mean.

$Mean = \dfrac{32 + 4 + 12 + 40 + 20 + 24}{6}=22$

Step 2: Find each absolute deviation.

10, 18, 10, 18, 2, 2

Step 3: Find the mean absolute deviation.

$M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{4} =\dfrac{60}{4}=15$

However, there are 6 values in the data. Stefano should have divided by 6 when finding the mean absolute deviation.

The correct mean absolute deviation is therefore:

$M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{6} =\dfrac{60}{6}=10$