a. Find the median number of prisoners and interpret (using a sentence in context). Select the correct choice below and fill in the answer box within your c (Type an integer or a decimal. Do not round.) O A. The median is capital prisoner(s). This means that 25% of these western states have fewer than this many capital prisoners. O B. The median is capital prisoner(s). This means that none of these western states have fewer than this many capital prisoners. OC. The median is capital prisoner(s). This means that 50% of these western states have fewer than this many capital prisoners O D. The median is capital prisoner(s). This means that 75% of these western states have fewer than this many capital prisoners. b. Find the interquartile range (showing Q1 and Q3 in the process) to measure the variability in the number of prisoners. Find Q1. Q1 = capital prisoner(s) (Type an integer or a decimal. Do not round.) Find Q3. Q3 = capital prisoner(s) (Type an integer or a decimal. Do not round.) Find the interquartile range (IQR). IQR = capital prisoner(s) (Type an integer or a decimal. Do not round.) c. What is the mean number of capital prisoners? The mean number of capital prisoners is prisoner(s). (Type an integer or decimal rounded to one decimal place as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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The accompanying table shows the numbers of capital prisoners​ (prisoners on death​ row) in 2017 in eleven western U.S. states. Complete parts​ (a) through​ (e) below.

Number of capital prisoners in 2017
State
Capital Prisoners
Wyoming
1
Arizona
125
Washington
8
Montana
2
California
746
New Mexico
2
Nevada
82
Utah
9.
Oregon
33
Alaska
Hawaii
Transcribed Image Text:Number of capital prisoners in 2017 State Capital Prisoners Wyoming 1 Arizona 125 Washington 8 Montana 2 California 746 New Mexico 2 Nevada 82 Utah 9. Oregon 33 Alaska Hawaii
The accompanying table shows the numbers of capital prisoners (prisoners on death row) in 2017 in eleven western U.S. states. Complete parts (a) through (e) below.
Click the icon to view the table for the number of capital prisoners in 2017.
a. Find the median number of prisoners and interpret (using a sentence in context). Select the correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal. Do not round.)
A. The median is
capital prisoner(s). This means that 25% of these western states have fewer than this many capital prisoners.
B. The median is
capital prisoner(s). This means that none of these western states have fewer than this many capital prisoners.
C. The median is
capital prisoner(s). This means that 50% of these western states have fewer than this many capital prisoners
D. The median is
capital prisoner(s). This means that 75% of these western states have fewer than this many capital prisoners.
b. Find the interquartile range (showing Q1 and Q3 in the process) to measure the variability in the number of prisoners.
Find Q1.
Q1 =
capital prisoner(s) (Type an integer or a decimal. Do not round.)
Find Q3.
Q3 =
capital prisoner(s) (Type an integer or a decimal. Do not round.)
Find the interquartile range (IQR).
IQR =
capital prisoner(s) (Type an integer or a decimal. Do not round.)
c. What is the mean number of capital prisoners?
The mean number of capital prisoners is
prisoner(s).
(Type an integer or decimal rounded to one decimal place as needed.)
d. Why is the mean so much larger than the median?
A. The mean is pulled up by the very small numbers, such as Alaska (0) and Hawaii (0).
B. The mean is pulled up by the numbers that are close to the mean.
C. The mean is pulled up by the very large numbers, such as Arizona (125) and California (746).
D. The mean is pulled up by the numbers that are close to the median.
e. Why is it better to report the median, instead of the mean, as a typical measure?
A. The median is affected by outliers.
B. The median is unaffected by outliers.
C. The median is better because the distribution is symmetric.
D. The median is better because of the sample's size.
Transcribed Image Text:The accompanying table shows the numbers of capital prisoners (prisoners on death row) in 2017 in eleven western U.S. states. Complete parts (a) through (e) below. Click the icon to view the table for the number of capital prisoners in 2017. a. Find the median number of prisoners and interpret (using a sentence in context). Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) A. The median is capital prisoner(s). This means that 25% of these western states have fewer than this many capital prisoners. B. The median is capital prisoner(s). This means that none of these western states have fewer than this many capital prisoners. C. The median is capital prisoner(s). This means that 50% of these western states have fewer than this many capital prisoners D. The median is capital prisoner(s). This means that 75% of these western states have fewer than this many capital prisoners. b. Find the interquartile range (showing Q1 and Q3 in the process) to measure the variability in the number of prisoners. Find Q1. Q1 = capital prisoner(s) (Type an integer or a decimal. Do not round.) Find Q3. Q3 = capital prisoner(s) (Type an integer or a decimal. Do not round.) Find the interquartile range (IQR). IQR = capital prisoner(s) (Type an integer or a decimal. Do not round.) c. What is the mean number of capital prisoners? The mean number of capital prisoners is prisoner(s). (Type an integer or decimal rounded to one decimal place as needed.) d. Why is the mean so much larger than the median? A. The mean is pulled up by the very small numbers, such as Alaska (0) and Hawaii (0). B. The mean is pulled up by the numbers that are close to the mean. C. The mean is pulled up by the very large numbers, such as Arizona (125) and California (746). D. The mean is pulled up by the numbers that are close to the median. e. Why is it better to report the median, instead of the mean, as a typical measure? A. The median is affected by outliers. B. The median is unaffected by outliers. C. The median is better because the distribution is symmetric. D. The median is better because of the sample's size.
Expert Solution
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Since you have posted a question with multiple subparts we will solve first three subparts for you. To get remaining subparts solved, please repost the question and mention the subparts to be solved. 

Quartile used to measure the location of the data set and it splits the entire data set into four part with three points. There are three points they are quartile 1, quartile 2 and quartile 3. Inter quartile range is calculated using the measures quartile 1 and quartile 3 and it is denoted as : 

IQR=Q3-Q1

Mean is used to measure the average of all the observation in the sample and it is defined as :

x¯=xn

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