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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.

Answer :

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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.

Learn more : https://brainly.com/question/12992903?referrer=searchResults

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