Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below. Company A Mean 4.04 Standard Error 0.12 Median 4.37 Mode 3.59 Standard Deviation 1.17 Sample Variance 1.38 Kurtosis −1.1 Skewness 0.24 Range 4.88 Minimum 2.00 Maximum 6.88 Sum 416.05 Count 103 Company B Mean 16.41 Standard Error 0.21 Median 17.03 Mode 16.59 Standard Deviation 2.32 Sample Variance 5.38 Kurtosis 9.1 Skewness −2.45 Range 12.37 Minimum 6.29 Maximum 18.66 Sum 1,919.63 Count 117 (a) Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer. (Round your numerical answers to two decimal places.) The coefficient of variation for company A is %, while the coefficient of variation for company B is %. Therefore, the stock prices for ---Select--- company A company B show a more dispersed distribution. (b) Compare the skewness of the two and explain what is indicated. Since the skewness of company A is positive, its data is skewed to the ---Select--- left right . Since the skewness of company B is negative, its data is skewed to the ---Select--- left right .
Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below. Company A Mean 4.04 Standard Error 0.12 Median 4.37 Mode 3.59 Standard Deviation 1.17 Sample Variance 1.38 Kurtosis −1.1 Skewness 0.24 Range 4.88 Minimum 2.00 Maximum 6.88 Sum 416.05 Count 103 Company B Mean 16.41 Standard Error 0.21 Median 17.03 Mode 16.59 Standard Deviation 2.32 Sample Variance 5.38 Kurtosis 9.1 Skewness −2.45 Range 12.37 Minimum 6.29 Maximum 18.66 Sum 1,919.63 Count 117 (a) Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer. (Round your numerical answers to two decimal places.) The coefficient of variation for company A is %, while the coefficient of variation for company B is %. Therefore, the stock prices for ---Select--- company A company B show a more dispersed distribution. (b) Compare the skewness of the two and explain what is indicated. Since the skewness of company A is positive, its data is skewed to the ---Select--- left right . Since the skewness of company B is negative, its data is skewed to the ---Select--- left right .
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
Related questions
Question
19
Company A
Mean | 4.04 |
---|---|
Standard Error | 0.12 |
4.37 | |
3.59 | |
Standard Deviation | 1.17 |
Sample Variance | 1.38 |
Kurtosis |
−1.1
|
Skewness | 0.24 |
4.88 | |
Minimum | 2.00 |
Maximum | 6.88 |
Sum | 416.05 |
Count | 103 |
Company B
Mean | 16.41 |
---|---|
Standard Error | 0.21 |
Median | 17.03 |
Mode | 16.59 |
Standard Deviation | 2.32 |
Sample Variance | 5.38 |
Kurtosis | 9.1 |
Skewness |
−2.45
|
Range | 12.37 |
Minimum | 6.29 |
Maximum | 18.66 |
Sum | 1,919.63 |
Count | 117 |
(a)
Which company's stock price has a more dispersed distribution? Explain. Show your complete work and support your answer. (Round your numerical answers to two decimal places.)
The coefficient of variation for company A is %, while the coefficient of variation for company B is %. Therefore, the stock prices for ---Select--- company A company B show a more dispersed distribution.
(b)
Compare the skewness of the two and explain what is indicated.
Since the skewness of company A is positive, its data is skewed to the ---Select--- left right . Since the skewness of company B is negative, its data is skewed to the ---Select--- left right .
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