Question

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 below. 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?

A. Discrete

B. Continuous

(b) Draw a histogram of the data and describe its shape. Choose the histogram below that correctly depicts the given data.

Describe the shape of the distribution. Choose the correct answer below.

A. The distribution is skewed left.

B. The distribution is symmetric.

C. The distribution is skewed right.

1. ​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 roughly equal to the median.

C. The mean should be substantially smaller than 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 _______because the mean _______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.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.

B.Yes, the survey suffers from sampling bias because the number of male and female students surveyed was not the same.

C.No, the survey does not suffer from bias because it was administered randomly and the question asked is in balanced form.

D.Yes, the survey suffers from sampling bias because the number of male and female students surveyed was the same.

Answer 1

a) Data is discreet.

b) From the histogram data is right skewed

a. The mean should be roughly equal to the Median

d) Mean = 0.97

Median = 1

Mean and median are roughly same

The prediction was right because the mean and median of the. Distribution is almost same...It goes towards symmetry.

e) Mode is 0(Zero)

f) A.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.