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.
53, 84, 22, 38, 41, 27,
25, 12, 17, 27, 33, 41,
60, 73, 62, 59, 43
The minimum value is 12 and the maximum value is 84.
In this case, intervals of 20 seem reasonable.
Let's list the intervals in the first column of our frequency table.
Number of Cars
Frequency
0 - 19
20 - 39
40 - 59
60 - 79
80 - 99
Now we should count the number of values in each interval.
53,
84,
22,
38,
41,
27,
25,
12 ,
17 ,
27,
33,
41,
60,
73,
62,
59,
43
Looking at the data, we can see that there are 2 values in the first interval, 6 values in the second interval, 5 values in the third interval 3 value in the fourth interval, and 1 value in the fifth interval. Using this information we can complete the second column of our table.
Number of Cars
Frequency
0 - 19
2
20 - 39
6
40 - 59
5
60 - 79
3
80 - 99
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!
