Data: x f 2 18 14. Calculate mean for the above. Show work. 15. Calculate S. 16.
ID: 3366095 • Letter: D
Question
Data: x f 2 18 14. Calculate mean for the above. Show work. 15. Calculate S. 16. Calculate the range. Show your work. 17. Calculate the IQS for the data. 18. Calculate the IQR for the data. 19. What is the mode for the data? 20. The above data is bimodal. True or False? Consider the boxplot below. 8 10 12 14 16 8 21. The distribution is skewed right. True or False 22. The interquartile range is about 8. True or False 23. The median is about 10. True or False 24. What are the IQS for the boxplot?Explanation / Answer
Using simple R codes we can have the answers.
14)
> a <- c(rep(5,3),rep(3,8),rep(2,18),rep(1,4))
> mean(a)
[1] 2.393939
Mean is 2.393939
15)
> sd(a)
[1] 1.028937
So, standard deviation is 1.028937
16)
> range = range(a)[2] - range(a)[1]
> range
[1] 4
So, the range of the data is 4.
18)
> IQR(a)
[1] 1
So, IQR of the data is 1.
19) 2 has the highest frequency. So, it is the mode.
20) FALSE. No, the data have only one mode. So, it's unimodal.
21) FALSE. That is skewed left.
22) TRUE. Yes, the IQR is about 8.
23) FALSE. No, the median is near about 15.
Note: I don't understand what you have meant about IQS. Please tell me in the comment I'll give the answer.
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