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# Summation Notation, Percentile and Proportion

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Please show your work. I am having trouble working out the problems. I would like as detailed an explaination for the answers as you can give.

1. A teacher gives a 20-point quiz to 10 students. The scores are listed below. What percentile corresponds to the score of 12?

20 8 10 7 15 16 12 19 14 9

A. 13

B. 40

C. 25

D. 12

1) The ten values, in order, are:

7, 8, 9, 10, 12, 14, 15, 16, 19, 20

The value 12 is the fifth value:

5/10 = 0.5 = 50%

But this does not match any of the listed answer values,

2) A data set contains the observations 3, 6, 7, 2, 8. Find &#931;x 2 -&#931;x 25 .

A. 129.6

B. 297.2

C. 540.8

D. 26.8

I have no idea how to get this

3)Merchants are always interested in determining why a customer selected their store to make a purchase. Best Sportswear Boutique conducted a customer survey to determine why its customers shopped at the store. The results are shown in the figure. What proportion of customers responded that merchandise was the reason they shopped at the store?

A.27

B.37

C. 12

D. 30

**See number 30 on the picture enclosed**

20 + 30 + 10 + 10 = 70 interviewed

30 chose "merchandise"

30/70 = 3/7 = 0.4285714286....

#### Solution Preview

For #1:
Since there are 4 scores below 12, the percentile is: 4/10 x 100 = 40.