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Upto6 l3 1

The document provides exercises for calculating the mean absolute deviation (MAD) for various sets of data, including numbers and percentages related to automobile sales. It includes a detailed answer key with calculations for each data set, showing the mean, absolute differences, and final MAD values. The document emphasizes rounding answers to two decimal places.

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129 views2 pages

Upto6 l3 1

The document provides exercises for calculating the mean absolute deviation (MAD) for various sets of data, including numbers and percentages related to automobile sales. It includes a detailed answer key with calculations for each data set, showing the mean, absolute differences, and final MAD values. The document emphasizes rounding answers to two decimal places.

Uploaded by

pinel78988
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name :

L3S1
Mean Absolute Deviation
Find the mean absolute deviation of each set of data. Round your answer to two decimal places.
1) 21.3, 11.5, 51.6, 35, 18.8, 49 2) 63.4, 25.5, 25.9, 10.2

Data Mean Difference Absolute


Value Data Mean Difference Absolute
Value

Sum Sum

Mean Absolute Deviation = Mean Absolute Deviation =

3) 63.5, 36.7, 27.2, 50.3, 21.5 4) 31.6, 34.5, 29.8, 12.1

Data Mean Difference Absolute


Value Data Mean Difference Absolute
Value

Sum Sum

Mean Absolute Deviation = Mean Absolute Deviation =

5) The below table shows the margin of increase in sales in an automobile shop compared to
the previous year. Find the mean absolute deviation of the growth in sales as displayed
herein. Increase in automobile sales as reflected during the new year (in %)
Cars Motorbikes Jeeps Trucks Tractors
7.8 6.2 3.3 2.6 1.4

Mean =

Mean Absolute Deviation =

Printable Worksheets @ www.mathworksheets4kids.com


Name :
Answer key
L3S1
Mean Absolute Deviation
Find the mean absolute deviation of each set of data. Round your answer to two decimal places.
1) 21.3, 11.5, 51.6, 35, 18.8, 49 2) 63.4, 25.5, 25.9, 10.2

Data Mean Difference Absolute


Value Data Mean Difference Absolute
Value
11.5 31.2 –19.7 19.7 10.2 31.25 –21.05 21.05
18.8 31.2 –12.4 12.4
21.3 31.2 –9.9 9.9 25.5 31.25 –5.75 5.75

35 31.2 3.8 3.8 25.9 31.25 –5.35 5.35


49 31.2 17.8 17.8
51.6 31.2 20.4 20.4 63.4 31.25 32.15 32.15

Sum 84 Sum 64.3

Mean Absolute Deviation = 14 Mean Absolute Deviation = 16.08

3) 63.5, 36.7, 27.2, 50.3, 21.5 4) 31.6, 34.5, 29.8, 12.1

Data Mean Difference Absolute


Value Data Mean Difference Absolute
Value
21.5 39.84 –18.34 18.34 12.1 27 –14.9 14.9

27.2 39.84 –12.64 12.64


29.8 27 2.8 2.8
36.7 39.84 –3.14 3.14
31.6 27 4.6 4.6
50.3 39.84 10.46 10.46

63.5 39.84 23.66 23.66 34.5 27 7.5 7.5

Sum 68.24 Sum 29.8

Mean Absolute Deviation = 13.65 Mean Absolute Deviation = 7.45

5) The below table shows the margin of increase in sales in an automobile shop compared to
the previous year. Find the mean absolute deviation of the growth in sales as displayed
herein. Increase in automobile sales as reflected during the new year (in %)
Cars Motorbikes Jeeps Trucks Tractors
7.8 6.2 3.3 2.6 1.4

Mean = 4.26

Mean Absolute Deviation = 2.19

Printable Worksheets @ www.mathworksheets4kids.com

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