Question

The data below show the number of games won by a football team in each of the last 15 seasons. What is a histogram that represents the data? 3 4 8 12 7 2 1 15 16 6 18 13 4 15

Answer 1

A histogram is attached.

Explanation:

The data spans from 1 to 18. If we go from 0 to 18, and use 6 bars, this makes each bar 3 units wide.

The boundaries of the first class would range from 0.5-3.5; the second class, 3.5-6.5; the third class, 6.5-9.5; the fourth class, 9.5-12.5; the fifth class, 12.5-15.5; and the sixth class, 15.5-18.5.

The frequency of the first class would be 3. This is because 3 values fall within it. The frequency of the second class is 3; the third class has a frequency of 2; the fourth class has a frequency of 1; the fifth class has a frequency of 3; and the last class has a frequency of 2.

Answer 2

See the attached picture for the histogram. To accomplish this manually, we would have to find the minimum and maximum (1 to 18), decide on the bin size (I used 1 here), and list the frequency of each result. In this case:
1-2 wins - 2
3 wins - 1
4 wins - 2
6 wins - 1
7 wins - 1
8 wins - 1
12 wins - 1
13 wins - 1
15 wins - 2
16 wins - 1
18 wins - 1
Then these are plotted on the histogram.