2.1-2.2 Describing Qualitative and Quantitative Data
A frequency distribution is a table that shows classes or intervals of data entries with a count of the
number of entries in each class.
The data set lists the student loan debt (in thousands of dollars) of 20 college graduates. Construct a
frequency distribution with the given 9 classes. Then, graph a frequency histogram and a relative
frequency histogram.
19.0
17.3
34.4
29.8
21.2
29.2
9.1
14.7
49.0
28.6
29.5
42.2
18.0
33.9
31.5
10.8
22.5
32.7
27.6
16.4
[5,10)
[10, 15)
[15,20)
[20,25)
[25,30)
[30,35)
[35,40)
[40,45)
[45,50)
What percent of sampled students have between [$20,000 and $40,000) in student loan debt?
4
Histogram of student loan debt
7
6
6
5
5
Frequency
Frequency
Histogram of student loan debt
7
4
3
4
3
2
2
1
1
0
5
13
21
29
37
45
0
53
9
17
25
33
41
49
student loan debt
student loan debt
list the class intervals:
class width:
observations/measurements in the original data set:
Histogram of student loan debt
6
5
5
4
4
Frequency
Frequency
Histogram of student loan debt
6
3
3
2
2
1
1
0
8
14
20
26
32
38
44
0
50
student loan debt
11
17
23
29
student loan debt
list the class intervals:
class width:
measurements in the original data set:
5
35
41
47
Students were sampled and asked how many credit hours they have taken. The results are displayed here.
Number of classes:
Frequency of the class with the least frequency:
Frequency of the class with the greatest frequency:
Class width:
Observations in the original data set:
Number of students who have taken less than 45 credit hours:
Percent of students who have taken between 65 and 75 credit hours [65,75) :
A sample of 29 statistics students responded to this question: As of summer term, what is your
classification?
The counts for each category were 0 freshmen, 14 sophomores, 10 juniors, 3 seniors, 0 non-degree
seeking, 2 working on second degree, 0 graduate students
The data is graphed in the bar chart here:
Number of classes:
Approximate frequency of the class with the greatest frequency:
Approximate relative frequency of the class with the least relative frequency:
Class width:
6