The following data are the top 50 men€™s finish times (in minutes) in the 2013 ING New York City Marathon.

a. Compute the mean.
b. Compute the median.
c. Construct a frequency histogram. Begin with lower class limit 120 minutes and class width 10 minutes.
d. On the basis of the histogram you constructed in part (c), explain why it makes sense that the mean is less than the median.
e. A student says your frequency histogram must be incorrect, because the mean and the median should aways be in the class with the largest frequency. What would you tell the student?

Transcribed Image Text:

148 128 133 129 130 130 150 131 155 132 152 155 142 152 153 132 137 143 145 131 155 152 133 150 144 144 138 143 147 152 153 146 143 154 152 148 131 150 150 132 146 144 155 149 131 145 151 154 143 142