Question

The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter.

A 4-column table with 4 rows. The first column has no label with entries town 1, town 2, town 3, total. The second column is labeled summer with entries 567, 345, 143, 1,055. The third column is labeled winter with entries 87, 102, 158, 347. The fourth column is labeled total with entries 654, 447, 301, 1,402.

Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

7%
10%
25%
75%
The frequency table represents the job status of a number of high school students.

A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150.

Which shows the conditional relative frequency table by column?

A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
The graph shows a distribution of data.



A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5
1.5
2.0
2.5
Sal recorded the number of crackers in each snack-sized package he opened.

A number line goes from 5 to 15. The whiskers range from 7 to 15, and the box ranges from 7 to 10. A line divides the box at 9.

Which statement must be true according to the box plot?

The data is symmetric, and the lowest number of crackers in a package was 7.
The data is symmetric, and the lowest number of crackers in a package was 8.
The data is skewed, and the lowest number of crackers in a package was 7.
The data is skewed, and the lowest number of crackers in a package was 8.
Mr. Capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. He also noted which class each student had taken.

Oil-painting

Satisfied: 17
Not satisfied: 3

Sculpture

Satisfied: 25
Not satisfied: 5

A 4-column table with 3 rows. The first column has no label with entries satisfied, not satisfied, total. The second column is labeled oil painting with entries 34%, x, 40%. The third column is labeled sculpture with entries blank, 10%, blank. The fourth column is labeled total with entries 84%, blank, 100%.
What is the value of x in the relative frequency table for the survey results? Round the answer to the nearest percent.

3%
6%
8%
15%
The ages of the people in attendance at the showing of an award-winning foreign film are shown below.

A graph shows age of attendees (in years) labeled 0 to 20 thru 61 to 80 on the horizontal axis and frequency on the vertical axis. 0 to 20 years at frequency 15. 20 to 40 years at frequency 40. 41 to 60 years at frequency 40. 61 to 80 years at frequency 15.

Answer 1

Here are the answers (with brief reasons):

1) Joint relative frequency for Town 2 who take a summer vacation:
- 345 / 1402 ≈ 0.246 → rounded to nearest percent = 25%.

2) Conditional relative frequency table by column (looking-for vs not-looking columns):
- The column-wise proportions are 12/50 = 0.24 and 38/50 = 0.76 for "looking for a job", and 28/100 = 0.28 and 72/100 = 0.72 for "not looking". So choose the option showing 0.24 / 0.76 and 0.28 / 0.72 (the third option).

3) Standard deviation of the data (graph rising from 1 to 2 then falling to 3):
- Best choice from the options: 1.5.

4) Box plot (whiskers 7 to 15, box 7 to 10, median 9):
- The data are skewed (right skew) and the lowest value is 7. So: "The data is skewed, and the lowest number of crackers in a package was 7."

5) Value of x in Mr. Capuano’s relative-frequency table:
- Oil-painting not satisfied = 3/50 = 0.06 → 6%.

6) (Histogram of ages was given but no question asked.)