Math Stats

Descriptive Statistics and Measures of Standing and Variation Worksheet MTH 160: Statistics

Version 1 09/13

Read the following scenario and complete each of the seven problems below: Suppose Professor Miller obtained the following results on the 1st Physics Test this semester:

1. Determine the mean, median, mode, and range for the grade distribution of the Physics Test. Mean: Median: Mode: Range: 2. Determine the 5-Number summary and make a box-and-whiskers plot for the data. Include the box-and-whiskers plot in your response. <Compose answer here> 3. What does the box-and-whiskers plot tell you about the shape of the distribution? <Compose answer here>

Version 1 7/1/13

4. If John was the student who made a 71 on the test, which percentile did John score in? <Compose answer here>

5. Based on the interquartile range (IQR), does Professor Miller’s data set have any outliers? If so, what is the outlier and why? Support your answer with your calculations. <Compose answer here> 6. Determine the variance and standard deviation of the data set. <Compose answer here>

7. Compare the mean and standard deviation of Professor Miller’s results on the 1

st Physics test

to that of Professor Williams’, assuming that Professor Williams’ test had a mean of 84 and a standard deviation of 5.6.

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<Compose answer here>