Question

The two plots below show the heights of some sixth graders and some seventh graders:

Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot above the third mark, 1 dot above the fourth mark, 3 dots above the fifth mark and 1 dot above the sixth mark.

The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 0.8. Approximately how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenths place.)

1.5
2.2
3.0
4.6

Answer 1

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Answer 2

The number of times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders is:

3.0

In order to find the variability between the two sets we divide the mean absolute deviation of the first set of data by the mean absolute deviation of the second set of the data.

The MAD of first set of data is: 1.2

and MAD of second set of data is: 0.4

Hence, let n be the number of times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders.

Step-by-step explanation: i Just said it 3.0 Hope this help ..lolz <3