Mr. Gonzalez gave his students a biology test last week.
Here are the test scores for each of the eleven students.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of test scores in that class.
(Note that we are using a class width of
6
.)
Test score
69 88 87 84
88 84 77 80
68 72 69
Test score
69 88 87 84 88 84 77 80 68 72 69
Test score Frequency
66
to
71
72
to
77
78
to
83
84
to
89
Test score Frequency
66 to 71 3
72 to 77 2
78 to 83 0
84 to 89 6
To create a grouped frequency distribution for the given test scores, we need to determine the frequency of each class interval.
First, let's list the test scores in ascending order:
68, 69, 69, 72, 77, 80, 84, 84, 87, 88, 88
Next, we determine the minimum and maximum test scores:
Minimum test score: 68
Maximum test score: 88
Now, we can create the class intervals with a class width of 6:
66 to 71
72 to 77
78 to 83
84 to 89
To find the frequency of each class interval, we count how many test scores fall into each interval:
66 to 71: 3
72 to 77: 3
78 to 83: 0
84 to 89: 5
So, the completed grouped frequency distribution for the data is as follows:
Test score Frequency
66 to 71 3
72 to 77 3
78 to 83 0
84 to 89 5