The boxplot below shows the average number of minutes male students in two math

Question

The boxplot below shows the average number of minutes male students in two math 220 classes at JMU reported watching TV per day. O 25 50 75 100 125 150 175 200 225 Average daily minutes watch ing TV Please show all your work and answers in the spaces provided. a) Use the boxplot to describe the features of the distribution, including skewness, modality, gaps and outliers if these are able to be seen in this graph watching TV per day (on average). i. Circle the one correct answer. If you circle more than one answer you will get no credit b) Estimate using the boxplot the median number of minutes male students in these Math 220 classes report c) Would the sample mean be above, below, or approximately equal to the median for this data? BELOW APPROXIMATELY EQUAL ABOVE Explain your answer in (i). Name a graphical display that would be best for comparing the TV watching habits of males and females. Name the feature(s) of the data that you would need a histogram or stem-and-leaf plot to detect. ii. d) e)

Explanation / Answer

a) From the boxplot mean > median so it is positively skewed. Also (median - Q1) < Q3 - median) so we conclude that the above distribution is positively skewed.

We can not find outliers from the above boxplot

b) The median is corresponding to the middle line of the box and which is approximate as 30 minute.

a) Sample mean is above the median

ii) because the distribution is positively skewd and mean is shifted toward the right side of the distribution.

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