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3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that x, = 920 and E = 52 436 find the mean and standard deviation.

3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that x, = 920 and E = 52 436 find the mean and standard deviation.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that Ex, = 920 and Ex = 52 436 find the mean and standard deviation. D. Find the (i) median, (ii) Q1, (iii)Q:, (iv) the interquartile range (IQR), (v) the lower and upper fences. E. Construct a Box-plot for the data. What are your conclusions about the shape of the distribution? Compare with the results in Part A. F. Would the mean or the median be the most suitable measure to use to represent the central location of this distribution? Give reasons for your answer.
Transcribed Image Text:3. The number of goals scored by Wayne Gretzky was recorded for seasons 1978 – 1999. (Please note the data set has been ordered from smallest to the largest for your convenience). 5, 9, 11, 16, 23, 23, 31, 38, 40, 40, 41, 46, 51, 52, 54, 55, 62, 71, 73, 87, 92 A. Construct a stem-and-leaf display for the data and describe the shape of the distribution (symmetric, skewed left, skewed right, bell-shaped, etc., any obvious outliers). B. What is the fraction of the data that is less than or equal to 31? C. Given that Ex, = 920 and Ex = 52 436 find the mean and standard deviation. D. Find the (i) median, (ii) Q1, (iii)Q:, (iv) the interquartile range (IQR), (v) the lower and upper fences. E. Construct a Box-plot for the data. What are your conclusions about the shape of the distribution? Compare with the results in Part A. F. Would the mean or the median be the most suitable measure to use to represent the central location of this distribution? Give reasons for your answer.
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