A man surveyed a sample of 36 high school students and​ asked, "How many days in the past week have you consumed an alcoholic​ beverage?" The results of the survey are shown to the right. Use these results to answer parts​ (a) through​ (f). 0 1 0 0 0 0   1 0 0 1 0 4 1 5 1 2 0 1 2 0 1 1 0 1 2 0 1 0 1 0 0 1 1 2 3 2       ​(a) Is this data discrete or​ continuous?     Continuous   Discrete ​(b) Draw a histogram of the data and describe its shape. Choose the histogram below that correctly depicts the given data.     A.                   01234505101520Number of DrinksFrequency         A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 4; “1,” 6; “2,” 8; “3,” 8; “4,” 6; “5,” 4.   B.                   01234505101520Number of DrinksFrequency         A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 8; “1,” 6; “2,” 4; “3,” 4; “4,” 6; “5,” 8.   C.                   01234505101520Number of DrinksFrequency         A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 1; “1,” 1; “2,” 1; “3,” 5; “4,” 13; “5,” 15.   D.                   01234505101520Number of drinksFrequency         A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 15; “1,” 13; “2,” 5; “3,” 1; “4,” 1; “5,” 1. Describe the shape of the distribution. Choose the correct answer below.     A. The distribution is skewed left.   B. The distribution is skewed right.   C. The distribution is symmetric. ​(c) Based on the shape of the​ histogram, do you expect the mean to be more​ than, equal​ to, or less than the​ median?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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A man surveyed a sample of 36 high school students and​ asked, "How many days in the past week have you consumed an alcoholic​ beverage?" The results of the survey are shown to the right. Use these results to answer parts​ (a) through​ (f).
0
1
0
0
0
0
 
1
0
0
1
0
4
1
5
1
2
0
1
2
0
1
1
0
1
2
0
1
0
1
0
0
1
1
2
3
2
 
 
 
​(a) Is this data discrete or​ continuous?
 
 
Continuous
 
Discrete
​(b) Draw a histogram of the data and describe its shape. Choose the histogram below that correctly depicts the given data.
 
 
A.
 
 
 
 
 
 
 
 
 
01234505101520Number of DrinksFrequency
 
  •  
  •  
  •  
A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 4; “1,” 6; “2,” 8; “3,” 8; “4,” 6; “5,” 4.
 
B.
 
 
 
 
 
 
 
 
 
01234505101520Number of DrinksFrequency
 
  •  
  •  
  •  
A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 8; “1,” 6; “2,” 4; “3,” 4; “4,” 6; “5,” 8.
 
C.
 
 
 
 
 
 
 
 
 
01234505101520Number of DrinksFrequency
 
  •  
  •  
  •  
A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 1; “1,” 1; “2,” 1; “3,” 5; “4,” 13; “5,” 15.
 
D.
 
 
 
 
 
 
 
 
 
01234505101520Number of drinksFrequency
 
  •  
  •  
  •  
A histogram has a horizontal axis labeled “Number of Drinks” from 0 to 5 in increments of 1 and vertical axis labeled “Frequency” from 0 to 20 in increments of 5. Six adjacent vertical bars with class width 1 extend from the horizontal axis and are centered at each of the six horizontal labels. The heights of the bars are as follows, with the horizontal label listed first and the height listed second: “0,” 15; “1,” 13; “2,” 5; “3,” 1; “4,” 1; “5,” 1.
Describe the shape of the distribution. Choose the correct answer below.
 
 
A.
The distribution is skewed left.
 
B.
The distribution is skewed right.
 
C.
The distribution is symmetric.
​(c) Based on the shape of the​ histogram, do you expect the mean to be more​ than, equal​ to, or less than the​ median?
 
 
A.
The mean should be substantially larger than the median.
 
B.
The mean should be substantially smaller than the median.
 
C.
The mean should be roughly equal to the median.
​(d) Compute the mean and median. What does this tell​ you?
 
The mean is _______
​(Type an integer or decimal rounded to two decimal places as​ needed.)
The median is ________
​(Type an integer or decimal rounded to two decimal places as​ needed.)
 
What do the computed mean and median tell​ you? Fill in the blanks below.​ (Use a​ 25% difference as the criterion for a​ "substantial" difference between the mean and​ median.)
 
The prediction was
 
incorrect
correct
because the mean
 
is less than
is greater than
is substantially larger than
is not equal to
is substantially smaller than
is equal to the median in this distribution.
 
​(e) Determine the mode.
 
The mode is ________
​(Type an integer or decimal rounded to two decimal places as​ needed.)
​(f) Do you believe that the survey suffers from​ bias? If​ so, what type and​ why?
 
 
A.
​No, the survey does not suffer from bias because it was administered randomly and the question asked is in balanced form.
 
B.
​Yes, the survey suffers from sampling bias because the number of male and female students surveyed was the same.
 
C.
​Yes, the survey suffers from response bias because it would be difficult to achieve truthful responses to this type of question unless the identity of the respondents is anonymous.
 
D.
​Yes, the survey suffers from sampling bias because the number of male and female students surveyed was not the same.
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