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
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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 .
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