Question

the weights (to the nearest five pounds) of 36 randomly selected male college students are organized in the histogram. use the graph to find the modal weight. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the modal weight is pounds (use a comma to separate answers as needed.) b. there is no modal weight for the given data.

Explanation:

Step1: Recall the definition of mode

The mode is the value that appears most frequently in a data set. In a histogram, the modal class (the class with the highest frequency) can help us find the mode.

Step2: Analyze the histogram

Looking at the "Weight of 36 Male College Students" histogram, we observe the height of each bar (which represents the frequency). The bar corresponding to the weight class \(160\) - \(165\) pounds has the highest frequency. Since the weights are to the nearest five pounds, the mid - point of the class \(160 - 165\) is \(162.5\) (but if we consider the class as a whole and the way the data is binned to the nearest five pounds, and looking at the scale of the x - axis which is in intervals of 5, the modal weight (the center of the highest bar's interval) is \(162.5\) (but if we assume that the data is binned such that the class with the highest frequency is considered as the mode in terms of the bin's value, and since the x - axis is in 5 - pound increments, the modal weight is \(162.5\) (calculated as \(\frac{160 + 165}{2}\)). However, if we just pick the class with the highest frequency (the tallest bar) and assume the value within the 5 - pound bin, we can also note that the bin \(160 - 165\) is the highest. If we consider the way the data is presented (to the nearest five pounds), we can also say that the mode is the value within that bin.

Answer:

A. The modal weight is \(162.5\) pounds