2 3 7 7 80 ... O Find the mean and standard deviation of the ungrouped sample data. (Type an integer or a decimal.) (Type an integer or decimal rounded to three decimal places as needed.) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard deviations? thin 3 standard deviations? % of the data values fall within 1 standard deviation of the mean. % of the data values fall within 2 standard deviations of the mean. % of the data values fall within 3 standard deviations of the mean. Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explain A. Yes, because most of the data values fall near the mean with fewer data values farther from the mean. B. No, because most of the data values fall farther than 3 standard deviations from the mean. C. No, because most of the data values fall between 2 and 3 standard deviations from the mean. D. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean.

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
Consider the following set of ungrouped sample data. Answer parts A through D.
5 5 5 4 0 2 3 7 7 80
...
(A) Find the mean and standard deviation of the ungrouped sample data.
x= (Type an integer or a decimal.)
S=
(Type an integer or decimal rounded to three decimal places as needed.)
(B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard deviations
Within 3 standard deviations?
% of the data values fall within 1 standard deviation of the mean.
% of the data values fall within 2 standard deviations of the mean.
% of the data values fall within 3 standard deviations of the mean.
(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explair
OA. Yes, because most of the data values fall near the mean with fewer data values farther from the mean.
B. No, because most of the data values fall farther than 3 standard deviations from the mean.
C. No, because most of the data values fall between 2 and 3 standard deviations from the mean.
D. Yes, because about the same number of data values fall near the mean as fall farther above and below the
mean.
Transcribed Image Text:Consider the following set of ungrouped sample data. Answer parts A through D. 5 5 5 4 0 2 3 7 7 80 ... (A) Find the mean and standard deviation of the ungrouped sample data. x= (Type an integer or a decimal.) S= (Type an integer or decimal rounded to three decimal places as needed.) (B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard deviations Within 3 standard deviations? % of the data values fall within 1 standard deviation of the mean. % of the data values fall within 2 standard deviations of the mean. % of the data values fall within 3 standard deviations of the mean. (C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explair OA. Yes, because most of the data values fall near the mean with fewer data values farther from the mean. B. No, because most of the data values fall farther than 3 standard deviations from the mean. C. No, because most of the data values fall between 2 and 3 standard deviations from the mean. D. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean.
(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explain.
A. Yes, because most of the data values fall near the mean with fewer data values farther from the mean.
B. No, because most of the data values fall farther than 3 standard deviations from the mean.
C. No, because most of the data values fall between 2 and 3 standard deviations from the mean.
D. Yes, because about the same number of data values fall near the mean as fall farther above and below the
mean.
(D) To confirm your conjecture, construct a histogram with the class interval width 1 starting at 0.5.
Which histogram below shows the data?
O A.
O B.
Frequency
H
1
2 4 6 8
Data Value
Q
Frequency
10-
8-
6420
H
2
4 6 8
Data Value
o
2
O C.
Frequency
d
-2 0 2 4 6 8 10 12
Data Value
Frequency
D.
4-
0
2
4
Data Value
-6
Transcribed Image Text:(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shaped? Explain. A. Yes, because most of the data values fall near the mean with fewer data values farther from the mean. B. No, because most of the data values fall farther than 3 standard deviations from the mean. C. No, because most of the data values fall between 2 and 3 standard deviations from the mean. D. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean. (D) To confirm your conjecture, construct a histogram with the class interval width 1 starting at 0.5. Which histogram below shows the data? O A. O B. Frequency H 1 2 4 6 8 Data Value Q Frequency 10- 8- 6420 H 2 4 6 8 Data Value o 2 O C. Frequency d -2 0 2 4 6 8 10 12 Data Value Frequency D. 4- 0 2 4 Data Value -6
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
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