Consider the two separate samples below. Complete parts a through d. Sample 1 19
ID: 3277646 • Letter: C
Question
Consider the two separate samples below. Complete parts a through d.
Sample 1
19
10
23
27
5
18
15
2
9
181
Sample 2
33
32
15
11
25
22
36
20
32
22
a. Calculate the range, variance, standard deviation, and interquartile range for each data set.
The range of the first data set is ____
(Type an integer or a decimal.)
The variance of the first data set is _____
(Round to three decimal places as needed.)
The standard deviation of the first data set is ____
(Round to three decimal places as needed.)
The interquartile range of the first data set is _____
(Type an integer or a decimal.)
The range of the second data set is ______
The variance of the second data set is _____
(Round to three decimal places as needed.)
The standard deviation of the second data set is _____
The interquartile range of the second data set is ______
b. Which data set is most spread out based on these statistics?
A.Sample 2
B.The two data sets have the same spread.
C.Sample 1
c. Now remove the largest number from each data set and repeat the calculations called for in part a.
The range of the first data set with the largest number removed is ___
The variance of the first data set with the largest number removed is ____
(Round to three decimal places as needed.)
The standard deviation of the first data set with the largest number removed is ______
The interquartile range of the first data set with the largest number removed is ______
The range of the second data set with the largest number removed is ______
The variance of the second data set with the largest number removed is _______
(Round to three decimal places as needed.)
The standard deviation of the second data set with the largest number removed is _______
The interquartile range of the second data set with the largest number removed is ________
D. Compare the results of parts a and c. Which statistic seems to be most affected by outliers?
a.The standard deviation
b.The variance
c. the interquartile range
d. the range
Sample 1
19
10
23
27
5
18
15
2
9
181
Sample 2
33
32
15
11
25
22
36
20
32
22
Explanation / Answer
a) sample 1
Population size: 10
Median: 16.5
Minimum: 2
Maximum: 181
First quartile: 8
Third quartile: 24
Outlier: 181
range = 181 -2 = 179
variance = 2843.4333
sd = 53.3239
IQR = 14
sample 2
Population size: 10
Median: 23.5
Minimum: 11
Maximum: 36
Outliers: none
range = 36-11 = 25
variance = 69.0667
sd = 8.3106
IQR = 12
b)
b. Which data set is most spread out based on these statistics?
C .Sample 1 is correct
c)
sample 1
range = 27-2 = 25
variance = 69.6945
sd = 8.3483
IQR = 14
sample 2
range = 33-11 = 22
variance = 60.2778
sd = 7.7639
IQR = 14.5
d) Range is most affected by outliers
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.