The 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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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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