Question

Raphael wants to create a histogram to display the results of a survey in which his coworkers were asked how many hours they spend on the Internet each week. The results of the survey are shown below.

{14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25}

Match each interval with its corresponding frequency.

Answer 1

To create a histogram, we need to divide the range of the data into a set of intervals or "bins" and count the number of data points that fall in each bin. We can then represent this information using a bar chart, where the height of each bar corresponds to the frequency (i.e., number of data points) in that bin.

To determine appropriate bin intervals, we can use the range of the data and the number of bins to create equal-width intervals. For example, we could create 5 bins of width 5:

Bin 1: 2 - 6 Bin 2: 7 - 11 Bin 3: 12 - 16 Bin 4: 17 - 21 Bin 5: 22 - 26

We can then count the number of data points that fall in each bin:

Bin 1: 2 Bin 2: 4 Bin 3: 3 Bin 4: 0 Bin 5: 3

Therefore, the intervals and their corresponding frequencies are:

Interval: 2 - 6 Frequency: 2

Interval: 7 - 11 Frequency: 4

Interval: 12 - 16 Frequency: 3

Interval: 17 - 21 Frequency: 0

Interval: 22 - 26 Frequency: 3

We can then use this information to create a histogram, where the x-axis represents the intervals and the y-axis represents the frequencies, with each bar corresponding to an interval and having a height equal to the frequency in that interval.