Question

PLZ HELP ME ASAP Select the correct answer from each drop-down menu.
A bank has two branches, one on West Avenue and the other on Water Field Road. The table gives the number of new accounts opened at each branch in the past 10 days.

West Avenue Branch Water Field Road Branch
7 18
9 20
6 12
11 15
7 7
9 6
5 11
12 13
10 19
4 11

The mean absolute deviation of the data for the West Avenue Branch is
A.2.2
B.2.6
C.2.8
The mean absolute deviation of the data for the Water Field Road Branch is
A.3.48
B.3.72
C.3.84
Based on the mean absolute deviations for the two data sets, we can conclude that the spread of the data for the West Avenue Branch is
A.lower
B.higher
than the spread of the data for the Water Field Road Branch.

Answer 1

To find the mean absolute deviation's for both data sets, you calculate the mean, find the difference between the mean and each data point, and find the mean of those differences.

Please see the attached work for both MADs.

Both answers are C, and the spread of the data for West branch is lower than the spread for Water branch.

Answer 2

The mean absolute deviation of the data for the West Avenue Branch is C. 2.8.

What is mean absolute deviation?

The mean absolute deviation is the average distance between each data point and the mean.

It is gotten by finding the difference between the mean and the data points. Here, mean absolute deviation of the data for the West Avenue Branch is 2.8.

Also, the mean absolute deviation of the data for the Water Field Road Branch is 3.84.

Therefore, from the mean absolute deviations for the two data sets, we can conclude that the spread of the data for the West Avenue Branch is lower than the spread of the data for the Water Field Road Branch.

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