MathStatisticsQ&A LibraryThe test grades for a certain class were entered into a Minitab worksheet, and then DescriptiveStatistics were requested. The results were:MTB> Describe ‘Grades’.N MEAN MEDIAN TRMEAN STDEV SEMEANGrades 28 74.71 76.00 75.50 12.61 2.38MIN MAX Q1 Q3Grades 35.00 94.00 68.00 84.00You happened to see, on a scrap of paper, that the lowest grades were 35, 57, 59, 60, …but you don’t know what the other individual grades are. Nevertheless, a knowledgeable user ofstatistics can tell a lot about the data set simply by studying the set of descriptive statistics above.a. Write a description of what the results in the box tell you about the distribution of grades. Besure to address the general shape of the distribution, any unusual features, including possibleoutliers, the location of the middle 50% of the data and any significance in the differencebetween the mean and the median.b. Construct a boxplot for the test grades.

Question

The test grades for a certain class were entered into a Minitab worksheet, and then Descriptive

Statistics were requested. The results were:

MTB> Describe ‘Grades’.

N MEAN MEDIAN TRMEAN STDEV SEMEAN

Grades 28 74.71 76.00 75.50 12.61 2.38

MIN MAX Q1 Q3

Grades 35.00 94.00 68.00 84.00

You happened to see, on a scrap of paper, that the lowest grades were 35, 57, 59, 60, …

but you don’t know what the other individual grades are. Nevertheless, a knowledgeable user of

statistics can tell a lot about the data set simply by studying the set of descriptive statistics above.

a. Write a description of what the results in the box tell you about the distribution of grades. Be

sure to address the general shape of the distribution, any unusual features, including possible

outliers, the location of the middle 50% of the data and any significance in the difference

between the mean and the median.

b. Construct a boxplot for the test grades.

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