Acing the first test Here are the scores of Mrs. Liao's students on their first statistics test: 93 93 87.5 91 94.5 72 96 95 93.5 93.5 73 82 45 88 80 85.5 87.5 81 78 86 89 92 91 98 85 82.5 88 94.5 43 (a) Make a boxplot to display the data. (b) How did the students do on Mrs. Liao's first test? Use the graph from part (a) to help justify your answer.

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fichoh fichoh · Answer 1 · 2021-09-11T04:00:01+02:00

The result of the plot reveals that the students had a good performance in the test.

Given the data :

43, 45, 72, 73, 78, 80, 81, 82, 82.5, 85, 85.5, 86, 87.5, 87.5, 88, 88, 89, 91, 91, 92, 93, 93, 93.5, 93.5, 94.5, 94.5, 95, 96, 98

The box plot of the distribution can be obtained using technology such as excel or a boxplot maker.

Using technology, the picture of the boxplot obtained is attached below :

Using the box plot, we could infer that the students performed very well as the low scores(43, and 45) are outliers.

The median score of 88 shows that the students performed very well on average. with 50% of the students scoring 88 and above.

The lower quartile value of 71, depicts that 75% of the students scored 71 and above which again is very impressive.

Without the Outliers, the minimum score obtained is 71 which also supports the fact that the students did very well.

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