Using the same set of 9-12 numbers you used for the previous discussion, (a) Wha

Question

Using the same set of 9-12 numbers you used for the previous discussion, (a) What is the definition of percentiles? What is your XXth percentile and explain what XXth percentile means? Describe how you calculated the percentile. (Choose any percentile you want except quartiles, for example 30th percentile). Your chosen percentile must be different from the other groups. http://study.com/academy/lesson/finding-percentiles-in-a-data-set-formula-examples-quiz.html                                                             

The data from the previous post is as follows:

Part A: These are the number of pushups a trainer did during 12 5- minute intervals through 1-12 reps.

Part A: These are the number of pushups a trainer did during 12 5- minute intervals through 1-12 reps.

4, 9, 1, 10, 13, 19, 8, 7, 14, 3, 6, 17

To find the class width the largest value is 19 and the lowest value is 1, there were four classes.

19-1=18

18/4= 4.5= 5

Frequency

(0-5): 3

(6-10): 5   

(11-15): 2

(16-20): 2

Relative Frequency in the same order as above

0.027

0.045

0.018

0.018

Part B: I decided to make a Pie Chart to display how many kids in fourth grade students like certain colors. The data is below and the chart is attached to this thread.

Purple: 7, Blue: 3, Orange: 8, Yellow: 10, Green: 12, Gray: 1, Black: 8, Pink: 5, Brown: 14

Part C: Stem and Leaf Plot

0|1 3 4 6 7 8 9

1| 0 3 4 7 9

The shape of the distribution is skewed to the right

Explanation / Answer

In brief :

our problem is as follows :

data set : 4, 9, 1, 10, 13, 19, 8, 7, 14, 3, 6, 17

we will have to find the XXth percentile. and then interpret it.

# What is the definition of percentiles?

Pth percentile is the value of the data set under which p*100% of the data set lies.

#What is your XXth percentile?
4, 9, 1, 10, 13, 19, 8, 7, 14, 3, 6, 17
1st we sort : 1,3, 4,6,7,8,9, 10,13,14,17,19.

1st we calculate what ran is the 20th percentile :

rank=Percentile / 100 * (number of items + 1)

=20/100*13=13/5=2.6 which is closer 3.

so, the third value : that is 4 is our 20th percentile.

#interpretation :

the 20th percentile means under 4 there are 20 percent of the total values.

#the calculation process is as shown above.

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