MTH 410 Module 2 Mastery Exercise, MTH410 QUANTITATIVE BUSINESS ANALYSIS, Colorado State University

QUESTION 1
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1/1 POINTS
Given the frequency table below, which of the following is the corresponding relative
frequency table?




Value Frequency
2 6
3 4
4 5
5 7
6 3

That is correct!


Value Relative Frequency
2 0.2
3 0.2
4 0.24
5 0.24
6 0.12

Value Relative Frequency
2 0.24
3 0.16
4 0.24
5 0.24
6 0.12

Value Relative Frequency
2 0.2
3 0.2
4 0.24

, 5 0.28
6 0.08

Value Relative Frequency
2 0.24
3 0.16
4 0.2
5 0.28
6 0.12

Answer Explanation
Correct answer:
Value Relative Frequency
2 0.24
3 0.16
4 0.2
5 0.28
6 0.12

By adding the frequencies, we see that there are a total of 25 values in the set of data.
Dividing each frequency by this total gives the relative frequency. So, for example, the
relative frequency for the value 2 is

625=0.24
This relative frequency table could be used by an airline to see what snacks (randomly
numbered) are preferred among fliers. Then, finding the relative frequency to compare
preferences.
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QUESTION 2

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1/1 POINTS
Given the following list of data, find the median.
17,12,31,22,5,8,13,30,20,15
Give your answer as a number only. For example, if you found the median was 20, you
would enter 20.


That is correct!

$$16

Answer Explanation
Correct answers:
• $16$16

It helps to put the numbers in order.

5,8,12,13,15,17,20,22,30,31
Now, because the list has length 10, which is even, we know the median number will
be the average of the middle two numbers, 15 and 17. So, the median is 16.
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QUESTION 3
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1/1 POINTS
The five number summary given below represents the cost of groceries per week in
different parts of the country.