Find IQR, median value and describe in terms of the problem, statistics homework help

Statistics
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Let W be the number of games that are played per best of seven World Series. Results from the last 107 World Series, which can be assumed to be enough, follow:

No. of games played in a best of seven World Series (w)World Series
19 
27 
24 
36 

Use the above table to answer:

  1. Find its IQR.
  2. Find its median value and describe it in terms of the problem
  3. Find its standard deviation
  4. How likely is it that the 2016 World Series will last any number of games within the IQR, inclusive?
Jan 14th, 2016

Thank you for the opportunity to help you with your question!

1. IQR= 23.33

2. Median = 24. Median is one of the statistical measures of central tendency. It is the middle number of a data set that has first been arranged in ascending order. The median of the world series score is 24 i.e. 2 scores lower than 24 and 2 scores higher than 24

3. The standard deviation is 12.97

4. The mean score is 21.4. Assuming a 95% confidence level, the world series score will be 21.4 ±11.37 i.e. between 10.03 and 32.77. Therefore, it is likely that the 2016 world series will last within the IQR since the IQR is within the range of 10.03 and 32.77    
Please let me know if you need any clarification. I'm always happy to answer your questions.
Jan 14th, 2016

I apologize for not including the workings. They are herein below done in excel showing the formulas.

Question 1,2 and three workings

Cell number

A

B

No. of games played in a

 best of seven World Series (w)

World Series arranged

 in ascending order

1

8

1

2

4

19

3

6

24

4

5

27

5

7

36

IQR

Formula:  =TRIMMEAN(B1:B5, 0.5)

23.33

MEAN

Formula:= MEDIAN(B1:B5)

24

STANDARD DEVIATION

Formula: =STDEV(B1:B5)

12.97

Q 4. workings

A

B

CELL NO.

DATA

DESCRIPTION

1

0.05

Significance level

2

  12.97

Std. deviation of the sample

3

5

Sample size

CONFIDENCE INTERVAL

FORMULA = CONFIDENCE(B1,B2,B3)

11.37


Jan 14th, 2016

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