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.
141, 128, 132, 141, 152, 169, 121, 133, 131, 156, 142, 136, 135, 144, 135, 153
The minimum value is 121 and the maximum is 169. In this case, intervals of 10 seem reasonable. Let's list the intervals in the first column of our frequency table.
Interval
Frequency
120 - 129
130 - 139
140 - 149
150 - 159
160 - 169
Now, let's count the number of values in each interval.
141, 128, 132, 141, 152, 169, 121, 133, 131, 156, 142, 136, 135, 144, 135, 153
Looking at the data, we can see that there are 2 values in the first interval, 6 values in the second interval, 4 values in the third interval,
3 values in the fourth interval, and 1 value in the fifth interval. Now we can complete the second column of our table.
Interval
Frequency
120 - 129
2
130 - 139
6
140 - 149
4
150 - 159
3
160 - 169
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!
