We are asked to make a frequency table and a histogram that represent the given data. Let's start by making a frequency table.
Frequency Table
Let's begin by identifying the maximum and minimum values from the given data set.
Then we can define the intervals for each line of our table.
8.8, 9.1, 3.5, 6.9, 7.3, 9.6,
9.0, 5.7, 7.2, 4.3, 8.9, 9.5
The minimum value is 3.5 and the maximum value is 9.6.
In this case, intervals of 1.6 seem reasonable.
Let's list the intervals in the first column of our frequency table.
Score
Frequency
3.5 - 5.0
5.1 - 6.6
6.7 - 8.2
8.3 - 9.8
Now we should count the number of values in each interval.
8.8, 9.1, 3.5, 6.9, 7.3, 9.6,
9.0, 5.7, 7.2, 4.3, 8.9, 9.5
Looking at the data, we can see that there are 2 values in the first interval, 1 value in the second interval, 3 values in the third interval, and 6 values in the fourth interval. Using this information we can complete the second column of our table.
Score
Frequency
3.5 - 5.0
2
5.1 - 6.6
1
6.7 - 8.2
3
8.3 - 9.8
6
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!
