Question

The following are the ages of a random sample of PSU Business majors summarized as a stem-and-leaf plot:
1 | 8899
2 | 26777
3 | 56777
4 | 01122

The following are the ages of a random sample of PSU Math majors summarized as a stem-and-leaf plot:
1 | 888888999
2 | 2479
3 | 1224

What is the IQR of the Business Major's ages?
IQR =

What is the range of the Business Major's ages?
Range =

What is the IQR of the Math Major's ages?
IQR =

What is the range of the Math Major's ages?
Range =

Which set of ages is more variable?

Math or Business (Circle One)

Answer 1

1)Business Major's ages

Sr. no	sorted X
1	18
2	18
3	19
4	19
5	22
6	26
7	27
8	27
9	27
10	35
11	36
12	37
13	37
14	37
15	40
16	41
17	41
18	42
19	42

quartile , Q1 = 0.25(n+1)th value=5th value of sorted data

=22

  

Quartile , Q3 = 0.75(n+1)th value=15th value of sorted data

=40

  

IQR = Q3-Q1 = 18

maximum = 42

minimum=18

range=max-min = 24

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Math Major's age

Sr. no	X
1	18
2	18
3	18
4	18
5	18
6	18
7	19
8	19
9	19
10	22
11	24
12	27
13	29
14	31
15	32
16	32
17	34

quartile , Q1 = 0.25(n+1)th value=4.5th value of sorted data

=18

  

Quartile , Q3 = 0.75(n+1)th value=13.5th value of sorted data

=30

  

IQR = Q3-Q1 = 12

  

maximum = 34

minimum=18

range=max-min = 16

--------------------------------

since, IQR and range is less for Math Major's ages, so, this is less variable compare to business major ages.

so, answer is MAth major's ages.