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 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?

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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Related questions

Question

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.

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.

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.

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.

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.

The distribution is skewed left.

The distribution is skewed right.

The distribution is symmetric.

The mean should be substantially larger than the median.

The mean should be substantially smaller than the median.

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?

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

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

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.

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

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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