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Len [333]
3 years ago
5

Use the data set to answer the question. {22,26,28,35,45,63,91} What is the mean absolute deviation (MAD) of the data set? Enter

your answer as a number rounded to the nearest tenth
Mathematics
1 answer:
shtirl [24]3 years ago
6 0

Answer:

mean absolute deviation is 18.85

Step-by-step explanation:

<u>Step 1:</u>-

Given observation values 22,26,28,35,45,63,91

mean (x ) = \frac{22+26+28+35+45+63+91}{7}

mean = 44.28≅ 44

<u>Step2</u>:-

The deviations of the respective observations from the mean (x)

That is x_{i}-x

22-44, 26-44,28-44,35-44,45-44,63-44,91-44

-22, -18 ,-16 ,-9, 1, 19, 47

<u>Step 3:</u>-

The absolute values of the given data

x_{i}-x

modulus of all these values

22,18,16,9.1,19,47

<u>Step 4</u>:-

Mean absolute deviation M.D=∑ \frac{x_{i}  - x }{n}

MAD = \frac{22+18+16+9+1+19+47}{7}

on simplification we get mean absolute deviation is 18.85

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