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

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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

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
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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Jan 14th, 2016
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Jan 14th, 2016
Dec 5th, 2016
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