The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown i

Question

2 years ago

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The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown i

n the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams

Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation

1.5 s

2.4 s

What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65

Mathematics

1 answer:

Yakvenalex [24] · Answer 1 · 2023-08-22T16:17:37+03:00

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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