a)
To find
a)
Answer to Problem 44E
Median = 1.8, First quartile = 1.15, Third quartile =3.1 and IQR = 1.95
Explanation of Solution
Formula:
Median:
First quartile Q1:
Third quartile Q3:
IQR:
Calculation:
Data sorted in ascending order:
0.3 | 1.2 | 1.8 | 3.1 |
0.5 | 1.2 | 1.8 | 3.1 |
0.5 | 1.2 | 1.9 | 3.3 |
0.6 | 1.2 | 2.1 | 3.3 |
0.6 | 1.3 | 2.1 | 3.4 |
0.9 | 1.3 | 2.1 | 3.5 |
0.9 | 1.3 | 2.2 | 3.5 |
0.9 | 1.3 | 2.4 | 3.5 |
0.9 | 1.4 | 2.5 | 3.6 |
1 | 1.4 | 2.5 | 3.7 |
1.1 | 1.5 | 2.6 | 3.8 |
1.1 | 1.5 | 2.7 | 4 |
1.1 | 1.5 | 2.7 | 4.2 |
1.1 | 1.6 | 2.7 | 4.6 |
1.1 | 1.6 | 3 | 5.9 |
1.1 | 1.6 | 3.1 | 6.6 |
6.6 |
Here, n = 65
For finding outlier, first need to find First quartile, Third quartile and IQR.
Median:
First Quartile:
First quartile is 1.15
Third quartile:
Third quartile is 3.1
b)
To find Median, first quartile, third quartile and the IQR for Indians data.
b)
Answer to Problem 44E
Median = 5.6, First quartile = 2.7, Third quartile =6.5 and IQR = 3.8
Explanation of Solution
Formula:
Median:
First quartile Q1:
Third quartile Q3:
IQR:
Calculation:
Data sorted in ascending order:
1.1 | 3.8 | 6.3 |
1.5 | 3.8 | 6.3 |
1.8 | 4.4 | 6.5 |
1.9 | 4.4 | 6.5 |
2 | 4.7 | 7.3 |
2.1 | 5.3 | 7.6 |
2.1 | 5.3 | 8.7 |
2.4 | 5.6 | 8.9 |
2.7 | 5.6 | 9.1 |
2.9 | 5.6 | 9.2 |
3.3 | 5.8 | 9.5 |
3.6 | 5.9 |
Here, n = 35
For finding outlier, first need to find First quartile, Third quartile and IQR.
First Quartile:
First quartile is 2.7
Third quartile:
Third quartile is 6.5
c)
To find upper and lower outlier limits for sea level
c)
Answer to Problem 44E
Lower outlier limit= -1.775 and upper limit = 6.025
Explanation of Solution
Outliers are those values which are less than Q1-1.5 x IQR and greater than Q3+1.5 x IQR.
Here
Lower outlier boundary is
Upper outlier boundary is
d)
To find upper and lower outlier limits for sea level.
d)
Answer to Problem 44E
Lower outlier limit= -3.38 and upper limit = 12.2
Explanation of Solution
Outliers are those values which are less than Q1-1.5 x IQR and greater than Q3+1.5 x IQR.
Here,
Lower outlier boundary is
Upper outlier boundary is
e)
To construct box plot for both data set.
e)
Explanation of Solution
Box plot for a data set of sea level:
From above Boxplot, it is concluded that 6.6 is the outlier values which is greater than upper outlier limit.
Box plot for a data set High Attitude:
From above Boxplot, it is concluded that, there are no any outlier value in the data set.
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Chapter 3 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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