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Question

The data representing a random sample of 15 people playing soccer and basketball is shown below

From the given data, MAD (soccer) is MAD (basketball).

A
less than
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B
greater than
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C
equal to
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Solution

The correct option is A less than
For people playing soccer:

Sum of data values = 12 + 21 + 40 + 27 + 20 = 120
Number of data values = 15

Mean=Sum of data valuesNumber of data values=12015 = 8

Sum of absolute deviation = 14

MAD(soccer)=Sum of absolute deviationNumber of data values

=1415=0.93

For people playing basketaball:

Sum of data values =4 + 10 + 18 + 21 + 24 + 18 + 10 = 105
Number of data values = 15

Mean=Sum of data valuesNumber of data values=10515 = 7

Sum of absolute deviation = 20

MAD(Basketball)=Sum of absolute deviationNumber of data values

=2015=1.33

Hence, MAD (soccer) is less than MAD (basketball).

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