Consider the two separate samples below. Complete parts a through d. Sample 1 23 15 30 21
Question:
Consider the two separate samples below. Complete parts a through d.
Sample 1 | 23 | 15 | 30 | 21 | 39 | 11 | 25 | 12 | 10 | 14 | |
Sample 2 | 10 | 21 | 14 | 3 | 16 | 12 | 19 | 13 | 10 | 123 |
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 adecimal.)
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 _______ (Type an integer or a decimal.)
The variance of the second data set is _______ (Round to three decimal places as needed.)
The standard deviation of the second data set is _____(Round to three decimal places as needed.)
The interquartile range of the second data set is______ (Type an integer or a decimal.)
b. Which data set is most spread out based on thesestatistics?
A.The two data sets have the same spread.
B.Sample 2
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 ______ (Type an integer or a decimal.)
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______ (Round to three decimal places asneeded.)
The interquartile range of the first data set with the largest number removed is______ (Type an integer or a decimal.)
The range of the second data set with the largest number removed is______ (Type an integer or a decimal.)
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_____ (Round to three decimal places asneeded.)
The interquartile range of the second data set with the largest number removed is________ (Type an integer or a decimal.)
d. Compare the results of parts a and c. Which statistic seems to be most affected by outliers?
The range
The variance
The interquartile range
The standard deviation
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke