A survey of major universities asked what percentage of incoming freshmen usually graduate "on time" in 4 years. Use the summary statistics given to answer the questions. a) Would you describe this distribution as symmetric or skewed? Explain. O A. This distribution is symmetric, because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the fences. Count Mean % on time 48 O B. This distribution is symmetric, because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean. 68.31 Median 68.26 10.14 OC. This distribution is skewed to the left, because the medians is significantly less than the mean. StdDev Min 44.29 O D. This distribution is skewed to the right, because the medians is significantly greater than the mean. Max 88.44 Range 25th %tile 75th %tile 44.15 b) Are there any outliers? Explain, 59.18 75.04 O A. Yes, because the minimum value in the distribution is less than the lower fence. O B. No, because all the values in the distribution are between the fences. C. Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is greater than the upper fence. O D. Yes, because the maximum value in the distribution is greater than the upper fence. c) Create a boxplot of these data. Choose the correct boxplot below. OA. OB. 90- 80- 70- 60- 50- 40- A% 90- 80- 70- 60- 50- 40- HIH
A survey of major universities asked what percentage of incoming freshmen usually graduate "on time" in 4 years. Use the summary statistics given to answer the questions. a) Would you describe this distribution as symmetric or skewed? Explain. O A. This distribution is symmetric, because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the fences. Count Mean % on time 48 O B. This distribution is symmetric, because the mean and median are reasonably close to one another and the quartiles are approximately the same distance from the mean. 68.31 Median 68.26 10.14 OC. This distribution is skewed to the left, because the medians is significantly less than the mean. StdDev Min 44.29 O D. This distribution is skewed to the right, because the medians is significantly greater than the mean. Max 88.44 Range 25th %tile 75th %tile 44.15 b) Are there any outliers? Explain, 59.18 75.04 O A. Yes, because the minimum value in the distribution is less than the lower fence. O B. No, because all the values in the distribution are between the fences. C. Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is greater than the upper fence. O D. Yes, because the maximum value in the distribution is greater than the upper fence. c) Create a boxplot of these data. Choose the correct boxplot below. OA. OB. 90- 80- 70- 60- 50- 40- A% 90- 80- 70- 60- 50- 40- HIH
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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Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Question
Transcribed Image Text:A survey of major universities asked what percentage of incoming freshmen usually graduate "on time" in 4 years, Use
the summary statistics given to answer the questions.
a) Would you describe this distribution as symmetric or skewed? Explain.
O A. This distribution is symmetric, because the mean and median are reasonably close to one another and the
extreme values are approximately the same distance from the fences.
% on time
Count
O B. This distribution is symmetric, because the mean and median are reasonably close to one another and the
quartiles are approximately the same distance from the mean.
OC. This distribution is skewed to the left, because the medians is significantly less than the mean.
48
Mean
68.31
Median
StdDev
Min
Маx
68.26
10.14
44.29
O D. This distribution is skewed to the right, because the medians is significantly greater than the mean,
88.44
Range
25th %tile
75th %tile
44.15
b) Are there any outliers? Explain.
59.18
75.04
O A. Yes, because the minimum value in the distribution is less than the lower fence.
O B. No, because all the values in the distribution are between the fences.
O C. Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is
greater than the upper fence.
O D. Yes, because the maximum value in the distribution is greater than the upper fence.
c) Create a boxplot of these data. Choose the correct boxplot below.
O A.
OB.
A%
90-
80-
70-
A%
90-
80-
70-
60-
50-
40-
60-
50-
40-
Oc.
O
D.
HIH.
HIH
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