Marginal Distributions

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Questions 1-3

Question 1.

How many columns does a 5x3 table have?

Incorrect. A table is described as rxc where r represents the number of rows and c represents the number of columns. So, a 5x3 table has 5 rows and 3 columns.

Correct. A table is described as rxc where r represents the number of rows and c represents the number of columns. So, a 5x3 table has 5 rows and 3 columns.

Incorrect. Try again.

Question 2.

How many rows does a 4x7 table have?

Incorrect. A table is described as rxc where r represents the number of rows and c represents the number of columns. So, a 4x7 table has 4 rows and 7 columns.

Correct. A table is described as rxc where r represents the number of rows and c represents the number of columns. So, a 4x7 table has 4 rows and 7 columns.

Incorrect. Try again.

Question 3.

True or false: The numbers given in a two-way table are counts.

True

False

Incorrect. This is a correct statement.

Correct. This is a correct statement.

Incorrect. Try again.

Questions 4-6

116

Question 4.

True or false: The sum of the row totals always equals the sum of the column totals.

True

False

Incorrect. This is a correct statement.

Correct. This is a correct statement.

Incorrect. Try again.

Question 5.

Should a woman ask a man out on a date?
	Yes	No	Depends	Total
Men	48	23	66	137
Women	30	69	93	192
Total	78	92	159	329

For the data in the above table, how many men think it is ok for a woman to ask them on a date?

Incorrect. In the cell where the “men” row intersects with “yes” column, we see the count “48”.

Correct. In the cell where the “men” row intersects with “yes” column, we see the count “48”.

Incorrect. Try again.

Question 6.

Should a woman ask a man out on a date?
	Yes	No	Depends	Total
Men	48	23	66	137
Women	30	69	93	192
Total	78	92	159	329

For the data in the above table, how many women responded to the question?

137

192

329

Incorrect. In the “women” row, the row total is 192.

Correct. In the “women” row, the row total is 192.

Incorrect. Try again.

Questions 7-11

258

Question 7.

Should a woman ask a man out on a date?
	Yes	No	Depends	Total
Men	48	23	66	137
Women	30	69	93	192
Total	78	92	159	329

For the data in the above table, what fraction of the respondents answered the question “yes”?

78/329

92/329

137/329

192/329

Incorrect. The total for the “yes” column is 78. The table total is 329. The fraction of “yes” respondents is 78/329.

Correct. The total for the “yes” column is 78. The table total is 329. The fraction of “yes” respondents is 78/329.

Incorrect. Try again.

Question 8.

Should a woman ask a man out on a date?
	Yes	No	Depends	Total
Men	48	23	66	137
Women	30	69	93	192
Total	78	92	159	329

For the data in the above table, what fraction of the respondents were women?

78/329

92/329

137/329

192/329

Incorrect. The total number of women in the survey is 192 and the total number surveyed is 329. The fraction of respondents who were women is 192/329.

Correct. The total number of women in the survey is 192 and the total number surveyed is 329. The fraction of respondents who were women is 192/329.

Incorrect. Try again.

Question 9.

Should a woman ask a man out on a date?
	Yes	No	Depends	Total
Men	48	23	66	137
Women	30	69	93	192
Total	78	92	159	329

For the data in the above table, what is the marginal distribution for opinion?

48/137, 23/137, 66/137

30/192, 69/192, 93/192

78/329, 92/329, 159/329

137/329, 192/329

Incorrect. Since we want a marginal distribution, the table total of 329 will be the denominator for every fraction. The column totals for opinion are 78, 92, and 159. The fractions are 78/329, 92/329 and 159/329.

Correct. Since we want a marginal distribution, the table total of 329 will be the denominator for every fraction. The column totals for opinion are 78, 92, and 159. The fractions are 78/329, 92/329 and 159/329.

Incorrect. Try again.

Question 10.

True or false: A marginal distribution for rows is created using the row totals in the numerators and the table total as the denominator for each percentage.

True

False

Incorrect. This is a correct statement.

Correct. This is a correct statement.

Incorrect. Try again.

StatTutor Lesson - Marginal Distributions

Questions 1-3

Question 1.

Question 2.

Question 3.

Questions 4-6

Question 4.

Question 5.

Question 6.

Questions 7-11

Question 7.

Question 8.

Question 9.

Question 10.