1.) Here is a set of sample data. Base on the data above, identify the 5 number
ID: 3067838 • Letter: 1
Question
1.)
Here is a set of sample data.
Base on the data above, identify the 5 number summary
2.)
The five number summary of a dataset was found to be:
47, 51, 58, 61, 70
An observation is considered an outlier if it is below:
An observation is considered an outlier if it is above:
3.)
Consider the boxplot below.
a. What quarter has the smallest spread of data?
Second
Third
Fourth
First
b. What is that spread?
c. What quarter has the largest spread of data?
Second
Third
Fourth
First
d. What is that spread?
50 38 95 43 60 20 34 16 82 75 100 86 66 31 89 36 53 22 68 42 63 59 78 7 40 37 56 6 10 19 21 26Explanation / Answer
Q1.### By using R command:
> x=c(50,38,95,43,60,20,34,16,82,75,100,86,66,31,89,36,53,22,68,42,63,59,78,7,40,37,56)
> x
[1] 50 38 95 43 60 20 34 16 82 75 100 86 66 31 89 36 53 22 68
[20] 42 63 59 78 7 40 37 56
> summary(x)
Min. 1st Qu. Median Mean 3rd Qu. Max.
7.00 36.50 53.00 53.56 71.50 100.00
Q.2 The five number summary is:
47, 51, 58, 61, 70
Here inter quartile range (IQR)=70-47=23
An observation is considered an outlier if it is below: 47-1.5*23=47-34.5=12.5
An observation is considered an outlier if it is above:70-1.5*23=70+34.5=104.5
Q3. a)
Third quarter has the smallest spread of data.
b) the spread is=21-19=2
c) Second quarter has the largest spread of data.
d) the spread is=19-10=9
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