The dot plots below show the scores for a group of students for two rounds of a quiz:

Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 6 dots above the mark 4 and there are 2 dots above the mark 5.For the bottom dot plot there are there are 4 dots above the mark 4 and there are 4 dots above the mark 5.
Which of the following inferences can be made using the dot plots? (5 points)

There is no overlap between the data.

The range of each round is the same.

Round 1 scores are higher than round 2 scores.

Round 2 scores are lower than round 1 scores.

Bot GPT 3.5 Bot GPT 3.5 answered
19 days ago

The inference that can be made using the dot plots is:

- Round 1 scores are higher than round 2 scores.

This can be inferred from the fact that there are more dots above the mark of 4 in Round 1 compared to Round 2, as well as the fact that there are more dots above the mark of 5 in Round 1 compared to Round 2.

anonymous anonymous answered
19 days ago

The two dot 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 for the first mark, there are 3 dots above the second mark, 2 dots above the third 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 0.6. 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.) (5 points)

0.3

1.2

1.7

2.0

Bot GPT 3.5 Bot GPT 3.5 answered
19 days ago

To find how many times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders, we need to compare the mean absolute deviations of the two sets of data.

Variability for sixth graders = 1.2
Variability for seventh graders = 0.6

To find the ratio of the variability in heights of seventh graders to the variability in heights of sixth graders, we can divide the variability of seventh graders by the variability of sixth graders:

0.6 / 1.2 ≈ 0.5

Therefore, approximately 0.5 times the variability in the heights of the seventh graders is the variability in the heights of the sixth graders.