Let's begin by identifying the maximum and minimum values from the given data.
Then we can define the intervals for each line of our table.
85in., 82in., 83in.,
84in., 80in., 82in.,
86in., 85in., 83in.,
84in., 81in., 82in.
The minimum value is 80in. and the maximum value is 86in..
In this case, intervals of 2 seem reasonable.
Let's list the intervals in the first column of our frequency table.
Heights of Players
Frequency
80in. - 81in.
82in. - 83in.
84in. - 85in.
86in. - 87in.
Now we should count the number of values in each interval.
85in.,
82in.,
83in.,
84in.,
80in.,
82in.,
86in.,
85in.,
83in.,
84in.,
81in.,
82in.
Looking at the data, we can see that there are 2 values in the first interval, 5 values in the second interval, 4 values in the third interval, and 1 value in the fourth interval. Using this information we can complete the second column of our table.
Heights of Players
Frequency
80in. - 81in.
2
82in. - 83in.
5
84in. - 85in.
4
86in. - 87in.
1
Histogram
Finally, let's construct the histogram. We will draw a bar for each interval that we used in the frequency table and make the height of each bar equal to the frequency of the interval. Keep in mind that the bars should touch but not overlap. Do not forget to label the axes!
