This question requires a graphing calculator and i dont have one. the data that it is talking about is     17,19,20,21,23,23,24,30,33,40.

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Expert Answers
embizze eNotes educator| Certified Educator

We are asked to graph a histogram for the data 17,19,20,21,23,23,24,30,33,40 -- the class width is to be 5.

You really do not need a graphing calculator for this. We need to first make a frequency distribution.

The least data point is 17 and the greatest is 40. The graph given asks us to start with a class interval of 15-19; the classes are 15-19,20-24,25-29,30-34,35-39,40-44. Note that each class has width 5 (15-16-17-18-19 etc...) Now we just count how many data points are in each interval:

15-19   2
20-24   5
25-29   0
30-34   2
35-39   0
40-44   1

After you establish the classes, you can count the data points using tally marks, etc...

** Technically the intervals are `14.5<=xlt19.5,19.5<=x<24.5` etc... **

The frequency of each interval (the number of data points in the class) is the height of the bar, the width is 5 for every class. (This is important, only the height changes.)

The graph looks something like this: