Answer: The table and histogram are shown below.
See the attached image.
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Step-by-step explanation:
The original data set is
162,160,167,170,167,170,160,167,162,165,162,159,161,162,161,170,167,159,159,170,161,159,159,165,165,160,159,170,162,159,167,162
This sorts to
159, 159, 159, 159, 159, 159, 159, 160, 160, 160, 161, 161, 161, 162, 162, 162, 162, 162, 162, 165, 165, 165, 167, 167, 167, 167, 167, 170, 170, 170, 170, 170
Use computer software to make the sorting really fast/easy.
Also, it's beneficial to use spreadsheet software to create the grouped frequency table and histogram. I used LibreOffice Calc spreadsheet which is a free program. There are other free options to pick from as well.
The class interval 159-161 means we are focused on the interval
. So we include 159 but exclude 161.
The values in this class interval are: {159,159,159,159,159,159,159,160,160,160}
There are 10 items in that subset shown above. Don't toss out any duplicates.
Since there are 10 heights on the interval
, this means we write "10" as the first frequency in the table.
The other frequencies are handled the same way. The completed table and histogram are shown below. Note the height of each histogram bar is the frequency value for that class (eg: a frequency of 10 means the bar's height is 10 units tall).
Also note that there are no gaps between the bars. The "gap" shown in the diagram below is because of the frequency 0 for the class interval 163-165. If that frequency was something positive, then we wouldn't have any gaps at all. This is to contrast a bar chart where there are gaps.