Chapter 10, Problem AP3.21CPT

To determine

To find out in the option that which of the following statements are correct.

Answer to Problem AP3.21CPT

Option (a) is the correct option.

Explanation of Solution

It is given the histogram in the question that shows the data on bears that inherit the park kept by National Park rangers. By looking at the data, we can say that the given distribution is strongly skewed to the right because the highest bars in the histogram are to the left and a tail of smaller bars are to the right of the histogram. A right skewed distribution means that the mean is larger than the median as the mean is more affected by the unusually larger values.

The median lies roughly at the highest bar in the histogram which is the bar with the midpoint $160$ pounds as shown in the histogram and thus the interval $\left(140,180\right)$ is most likely to contain the median.

As the mean is larger than the median but not very large thus the mean lies at the bar to the right of the bar of the median. That is, the bar with the midpoint $200$ and thus the mean would lie in the interval $\left(180,220\right)$ . Thus, we have that option (a) is the correct option according to the mean and the median.