103 7.3 Topic 3: Numerical Descriptive Statistics 18. In your own words, thoroughly describe the difference between the mean and median. 19. Explain in your own words what is measured by the standard deviation. 20. Suppose we have data on the ages of U.S. presidents. We also have ages for a sample of high school teachers. Which group would you expect the have a larger standard deviation and why? 21. Answer the following questions given the two histograms in Figure 7.5. Figure 7.5: Comparing the center and spread in histograms Histogram 1 Histogram 2 5 6 2 3 1 (a) Identify which has a larger standard deviation. Explain. (b) Do you expect the two means to be similar or will one mean be larger than the other? Explain. 22. Ages from a random sample of 18 athletes in the 2012 London Olympics is provided below. Ages are from athletes across any of the events. Calculate the following summary statistics to explor the distribution of ages for Olympic athletes. 21, 22, 26, 24, 32, 21, 21, 20, 22, 31, 34, 23, 27, 26, 29, 20, 22, 29 (a) Find the mean and median of the data. (b) Based on the mean and median, what can be said about the likely shape of the data? D this make sense given the setting for the data? Explain. (c) Which of the two measures of center is more appropriate for this data? Explain. (d) Find the standard deviation and IQR of the the data using the calculator. (e) Which of the two measures of spread is most appropriate for the data? Explain. 4- 2.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

Question 20 only, please 

103
7.3
Topic 3: Numerical Descriptive Statistics
18. In your own words, thoroughly describe the difference between the mean and median.
19. Explain in your own words what is measured by the standard deviation.
20. Suppose we have data on the ages of U.S. presidents. We also have ages for a sample of high
school teachers. Which group would you expect the have a larger standard deviation and why?
21. Answer the following questions given the two histograms in Figure 7.5.
Figure 7.5: Comparing the center and spread in histograms
Histogram 1
Histogram 2
5
6
2
3
1
(a) Identify which has a larger standard deviation. Explain.
(b) Do you expect the two means to be similar or will one mean be larger than the other?
Explain.
22. Ages from a random sample of 18 athletes in the 2012 London Olympics is provided below. Ages
are from athletes across any of the events. Calculate the following summary statistics to explor
the distribution of ages for Olympic athletes.
21, 22, 26, 24, 32, 21, 21, 20, 22, 31, 34, 23, 27, 26, 29, 20, 22, 29
(a) Find the mean and median of the data.
(b) Based on the mean and median, what can be said about the likely shape of the data? D
this make sense given the setting for the data? Explain.
(c) Which of the two measures of center is more appropriate for this data? Explain.
(d) Find the standard deviation and IQR of the the data using the calculator.
(e) Which of the two measures of spread is most appropriate for the data? Explain.
4-
2.
Transcribed Image Text:103 7.3 Topic 3: Numerical Descriptive Statistics 18. In your own words, thoroughly describe the difference between the mean and median. 19. Explain in your own words what is measured by the standard deviation. 20. Suppose we have data on the ages of U.S. presidents. We also have ages for a sample of high school teachers. Which group would you expect the have a larger standard deviation and why? 21. Answer the following questions given the two histograms in Figure 7.5. Figure 7.5: Comparing the center and spread in histograms Histogram 1 Histogram 2 5 6 2 3 1 (a) Identify which has a larger standard deviation. Explain. (b) Do you expect the two means to be similar or will one mean be larger than the other? Explain. 22. Ages from a random sample of 18 athletes in the 2012 London Olympics is provided below. Ages are from athletes across any of the events. Calculate the following summary statistics to explor the distribution of ages for Olympic athletes. 21, 22, 26, 24, 32, 21, 21, 20, 22, 31, 34, 23, 27, 26, 29, 20, 22, 29 (a) Find the mean and median of the data. (b) Based on the mean and median, what can be said about the likely shape of the data? D this make sense given the setting for the data? Explain. (c) Which of the two measures of center is more appropriate for this data? Explain. (d) Find the standard deviation and IQR of the the data using the calculator. (e) Which of the two measures of spread is most appropriate for the data? Explain. 4- 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman