Question

The frequency of people compared to the number of monthly text messages sent and received by a class are shown in the histogram.

A histogram titled Daily Text Messages. The x-axis is labeled Number of Sent Texts and has intervals of 1 to 15, 16 to 30, 31 to 45, 46 to 60, 61 to 75, 76 to 90, and 91 to 105. The y-axis is labeled Frequency and starts at 0, with tick marks every 2 units up to 12. There is a shaded bar for 1 to 15 that stops at 1, for 31 to 45 that stops at 3, for 46 to 60 that stops at 4, for 61 to 75 that stops at 4, for 76 to 90 that stops at 5, and for 91 to 105 that stops at 8. There is no shaded bar for the 16 to 30 interval.

Which of the following best describes the shape of the data, and why?

The data is symmetric because the majority of students sent fewer than 45 text messages.
The data is symmetric because some students have phones and some do not.
The data is skewed because most text messages are replied to and cause the number to be at least twice what it was originally.
The data is bimodal because the popular number of text messages to send is between 91 and 105.

Answer 1

Explanation:

Based on the given information, the histogram shows the frequency of people compared to the number of monthly text messages sent and received by a class. The shaded bars on the histogram show the number of students that fall within each range of text messages.

Since the bars are mostly concentrated towards the right side of the histogram, and there are a few students who send a much larger number of text messages than the rest, we can say that the data is skewed to the right. This means that the majority of students send a small number of text messages, while a few students send a much larger number of text messages.

Therefore, the best description of the shape of the data is: The data is skewed because most text messages are replied to and cause the number to be at least twice what it was originally.