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beks73 [17]
3 years ago
13

Question 1

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

M.A.D= 4.9

Step-by-step explanation:

Given

12.7, 22, 23.5, 24, 11, 22

Required

Determine the M.A.D

Start by calculating the Mean

Mean = \frac{\sum x}{n}

In this case, n = 6

So:

Mean = \frac{12.7 + 22 + 23.5 + 24 + 11 + 22}{6}

Mean = \frac{115.2}{6}

Mean = 19.2

Subtract the mean from each element

12.7 - 19.2 = -6.5

22 - 19.2 = 2.8

23.5 - 19.2 = 4.3

24 - 19.2 = 4.8

11 - 19.2 = -8.2

22 - 19.2 = 2.8

Take absolute value of the results above

|-6.5| = 6.5

|2.8| = 2.8

|4.3| = 4.3

|4.8| = 4.8

|-8.2| = 8.2

|2.8| = 2.8

The mean of the above gives the MAD

M.A.D= \frac{\sum |x - u|}{n}

M.A.D= \frac{6.5 + 2.8 + 4.3 + 4.8 + 8.2 + 2.8}{6}

M.A.D= \frac{29.4}{6}

M.A.D= 4.9

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