PSAT Math Multiple-Choice Practice Test 34: Data Analysis: Tables, Statistics, and Probability

Questions 1-2 refer to the following information.
French
German
Italian
Japanese
Total
Freshmen
342
261
489
103
1,195
Sophomores
276
199
324
54
853
Juniors
190
108
252
29
579
Seniors
158
97
219
24
498
Total
966
665
1,284
210
3,125

1. Assuming that all students are required to take exactly one language, which student class contains the greatest percentage of students enrolled in a Romance (French or Italian) language?

2. A group of 150 freshmen were randomly selected for a survey that asked whether they were excited to continue their foreign language studies in the next school year. Of this group, 93 said they were excited to continue, 37 said they were not excited to continue, and 20 said they did not know yet whether they were excited to continue. Using the data from this survey and the table, which of the following is most likely a valid conclusion?

3.

Liam is conducting a market research study to determine the effectiveness of advertisements on social networking sites. He surveyed a randomly selected group of 2,000 young adults on how likely they are to purchase from a company based on its advertisements on social networking sites. Respondents rated their likelihood to purchase on a scale from 1 to 7, with 1 being "Not at all likely" and 7 being "Definitely." The results are summarized in the bar graph above. Which of the following statements is NOT true based on the survey results?

Questions 4-5 refer to the following information.
Freshmen
Sophomores
Juniors
Seniors
Total
Football
441
414
388
450
1,693
Baseball
317
343
249
283
1,192
Soccer
222
284
347
316
1,169
Basketball
370
314
365
291
1,340
Total
1,350
1,355
1,349
1,340
5,394

4. The research group that conducted the survey wants to select one participant at random for a follow-up survey. Given that the selected participant is not a freshman, what is the probability of the research group randomly selecting someone who chose baseball as his or her favorite sport?

5. Based on the table provided, which of the following is NOT a true statement?

6.

A researcher placed a fluid motion sensor in the Atlantic Ocean along the North Carolina coast to study the movement of the water. Every morning at 6:00 a.m., the movement of the water past the sensor was recorded. The figure above shows the results. Based on the data, which of the following would be a valid conclusion? (Assume that the summer months are June, July, and August and the winter months are December, January, and February.)

7.

When a consumer gets an oil change for a vehicle, the service technician typically checks the tread depth and wear condition of the tires. The technician then recommends one of the following: no service needed, rotate tires, or replace one or more tires. The table above shows one technician's recommendations for the month of June. For what fraction of cars and trucks did this technician recommend a tire rotation?

A.

B.

C.

D.

8.

The graph above shows the yearly profits of an organic produce company. If the company's profits continue to grow at the same rate, in which year will it have a yearly profit that is 100% greater than its profit in 2013?

9.

Huiping, Deanna, and Katya are three varsity divers who recently competed in an exhibition diving meet. Their diving scores for each of their six dives are shown in the above table. According to the data, which of the following is a valid conclusion?

10.

The bar graph above shows the number of convertibles made by several manufacturers with various fuel efficiency ratings. What is the mean fuel efficiency rating for these convertibles?

11.

A runner is training for a marathon. His goal is to run an average of 5 miles per day for the first 10 days of his training. The dot plot above shows the number of miles he ran each day during the first 9 days. How many miles must he run on the 10th day to reach his goal?

12.

The table above shows the number of employees at a certain company who were eligible for group health insurance each year from 2010 to 2014. If the median number of eligible employees for the five years was 821, and no two years had the same number of eligible employees, what is the least possible value for n ?