There are 55 states in a certain country. The histogram shows murder rates per 100,000 residents and the number of states that had these rates in a certain year Use this information to complete parts (a) through (e) to the right Murder Rates per 100,000 Residents, by State 10 10 Frequency 9 Hopea M 111213 J8E Q (Type an integer or decimal rounded to two decimal place as needed.) c. Find the median murder rate per 100,000 residents for the states. The median murder rate is 6 murders per 100,000 residents (Type an integer or decimal rounded to one decimal place as needed) d. Are the mean and median murder rates consistent with the shape of the distribution that you described in part (a)? Explain your answer The mean is approximately equal to the median This is consistent with the fact that the distribution given is approximately normal e. Suppose there is a state with a rate of 29 murders per 100,000 residents. The standard deviation for the data is approximately 4.2 f the distribution were roughly normal, what would be the 2-score, rounded to one decimal place for that state? Use the same value for the mean that you found in part (b). Does this seem unusually high? Explain your answer
There are 55 states in a certain country. The histogram shows murder rates per 100,000 residents and the number of states that had these rates in a certain year Use this information to complete parts (a) through (e) to the right Murder Rates per 100,000 Residents, by State 10 10 Frequency 9 Hopea M 111213 J8E Q (Type an integer or decimal rounded to two decimal place as needed.) c. Find the median murder rate per 100,000 residents for the states. The median murder rate is 6 murders per 100,000 residents (Type an integer or decimal rounded to one decimal place as needed) d. Are the mean and median murder rates consistent with the shape of the distribution that you described in part (a)? Explain your answer The mean is approximately equal to the median This is consistent with the fact that the distribution given is approximately normal e. Suppose there is a state with a rate of 29 murders per 100,000 residents. The standard deviation for the data is approximately 4.2 f the distribution were roughly normal, what would be the 2-score, rounded to one decimal place for that state? Use the same value for the mean that you found in part (b). Does this seem unusually high? Explain your answer
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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Part E
Transcribed Image Text:There are 55 states in a certain country. The histogram shows murder rates per
100,000 residents and the number of states that had these rates in a certain
year Use this information to complete parts (a) through (e) to the right
Murder Rates per 100,000 Residents,
by State
10
Q
104ucer
*****
a
********
spome
Huw
9 10 11 12 13
Murder Rate (per 100 000 residents)
Rounded to the Nearest Whole Number
Frequency
640
9
G
53
(Type an integer or decimal rounded to two decimal place as needed,
c. Find the median murder rate per 100.000 residents for the states.
The median murder rate is 6 murders per 100,000 residents
(Type an integer or decimal rounded to one decimal place as needed.)
d. Are the mean and median murder rates consistent with the shape of
the distribution that you described in part (a)? Explain your answer
The mean is approximately equal to the median This is consistent
with the fact that the distribution given is approximately normal
e. Suppose there is a state with a rate of 29 murders per 100,000
residents. The standard deviation for the data is approximately 4.2. If
the distribution were roughly normal, what would be the z-acore,
rounded to one decimal place for that state? Use the same value for
the mean that you found in part (b). Does this seem unusually high?
Explain your answer
The z-score is
(Type an integer or decimal rounded to one decimal place as needed)
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