Discrete Random Variables – Mean Answers

Your neighborhood gym tracked how many days each of its members worked out over the past week. Let G = the number of days per week a member worked out. Calculate the median of G. Use the histogram to verify your choice of the shape of the distribution. Since the shape of the distribution for the number of days is , we expect the median to be the mean number of days. This is confirmed when we calculate the median to be compared to the mean of 1.36 days. The shape of the histogram supports the relationship of the mean and the median because the mean is .

A popular streaming service surveyed all of the students at a school about the number of TV shows they streamed last Friday night, then recorded the results. Let M = the number of TV shows streamed last Friday night. Calculate the median of M. Use the histogram to corroborate your choice of the distribution’s shape. Since the shape of the distribution for number of TV shows streamed is , we expect the median to be the mean number of TV shows streamed. This is confirmed when we calculate the median to be , compared to the mean of 2.187 TV shows streamed. The shape of the histogram supports the relationship of the mean and the median because the mean is .

A popular streaming service surveyed all of the students at a school about the number of TV shows they streamed last Friday night, then recorded the results.Let M = the number of TV shows streamed last Friday night.Calculate the standard deviation of M.

How do the number of cups of coffee that nurses drink during their shift differ between the day shift and night shift nurses? The probability distribution for the amount of coffee consumed for the two nursing shifts is provided in the table. Let D = the number of cups of coffee for a nurse on the day shift. Let N = the number of cups of coffee for a nurse on the night shift. Use the histograms and the table to compare the difference between the two nursing shifts and the amount of coffee consumed. The distribution of number of cups of coffee for the day shift is , while the distribution for the night shift is . The mean for the distribution of the day shift is the mean for the night shift. By looking at the standard deviations, we see that the variability for the day shift is the variability of the night shift.

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