Question

As part of a study on university seniors majoring in marketing, marketing researchers asked respondents about the starting salaries they expect after graduation. Below are the results, stated in thousands of dollars.

30   80   20   30   40   70   100   80   70   40   60   30   20   80   70   60

Create the following.

1. Ordered Array

2. Frequency Histogram

3. Stem and Leaf Diagram

Answer 1

The Sample Set is as follows –

30   80   20   30   40   70   100   80   70   40   60   30   20   80   70   60

Total Size of the sample = 16

Answer 1:
The Ordered Array (in ascending order) is –

20 20 30 30 30 40 40 60 60 70 70 70 80 80 80 100

Or

The Ordered Array (in descending order) is –

100 80 80 80 70 70 70 60 60 40 40 30 30 30 20 20

Answer 2:
The Frequency Distribution of the Sample Set is given below –

Class Interval	Class Boundaries	Frequency
20-29	19.5-29.5	2
30-39	29.5-39.5	3
40-49	39.5-49.5	2
50-59	49.5-59.5	0
60-69	59.5-69.5	2
70-79	69.5-79.5	3
80-89	79.5-89.5	3
90-99	89.5-99.5	0
100-109	99.5-109.5	1
Total		16

The Frequency Histogram is given below –

where the horizontal axis represents the Class Boundaries and the vertical axis represents the Frequencies

Answer 3:
The Stem – Leaf Diagram is given below –

Stem	Leaf
2	0, 0
3	0, 0, 0
4	0, 0
5
6	0, 0
7	0, 0, 0
8	0, 0, 0
9
10	0