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Ms. Brodie drew these box-and-whisker plots to represent her students' scores on the mid-year test and the final exam.

What do the plots tell you about the test scores of Ms. Brodie's class?

Ms. Brodie drew these box-and-whisker plots to represent her students' scores on the-example-1
User Robertjlooby
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1 Answer

16 votes
16 votes

Answer:

The scores of the final exam are, in general, lower than the scores in the mid-term exam.

Explanation:

First a little description of these graphs.

The first interval (only a line) represents the bottom 25% of the sample.

The second interval (the left part of the rectangle) represents the lower quartile, which is another 25% of the sample.

The third interval, the right part of the rectangle, represents the upper quartile, which is another 25% of the sample.

And the final segment represents the top 25%.

Looking at the first graph, we can see that the worst scores (for the bottom 25%) are between 44 and 63.

While in the second graph, the wors scores are between 44 and 59, this means that we have more people with bad scores in the final exam.

Now if we look at the lower quartile in the first graph, we can see that the range of scores is between 63 and 74.

While in the second graph the range is between 59 and 71.

Again, we can see that in the final exam the scores dropped a bit in this quartile.

In the upper quartile, we have a similar case.

In the first graph, the scores go between 74 and 81, while in the second graph the scores go between 71 and 79.

And in the final segment, we also can see a drop in the scores, because in the first graph the range is from 81 to 93

while in the second graph the range is from 79 and 92.

So in all the "segments", we can see that the scores dropped. And this is the only conclusion we can make from the graphs, the scores of the final exam are, in general, lower than the scores in the mid-term exam.

User Afaq
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