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telo118 [61]
4 years ago
9

The table lists the test scores William and Andre received on five math assessments.

Geography
1 answer:
Nataliya [291]4 years ago
5 0

Answer:

B.) It is equal to about 1 times the mean absolute deviation of either data set.

Explanation:

Given the scores :

Williams :

89,97, 78, 81, 91

Andre :

90, 74, 73, 87, 82

The mean scores :

Mean = ΣX / n

William's mean score = 436 / 5 = 87.2

Mean absolute deviation :

[|89-87.2| + |97-87.2| + |78-87.2| +|81-87.2| + |91-87.2|] / 5

William's mean absolute deviation = 6.16

Andre's mean score = 406 / 5 = 81.2

Andre's mean absolute deviation =

[|90-81.2| + |74-81.2| + |73-81.2| +|87-81.2| + |82-81.2|] / 5 = 6.16

Difference of the mean = 87.2 - 81.2 = 6

Mean absolute deviation of each dataset = 6.16

The closest relationship between the mean difference and the mean absolute deviation is :

Mean difference is about 1 times the mean absolute deviation

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