PSAT Math Grid-Ins Practice Test 12: Data Analysis: Tables, Statistics, and Probability

1.

The table above shows the types and colors of sportswear in stock at a sporting goods store. If the mean number of blue articles of clothing in stock is 7, then what is the number of blue sweatshirts the store has in stock?

2. The Kp Index measures the energy added to Earth's magnetic field from the Sun on a scale of 0–9, with 1 representing a solar calm and 5 or more indicating a magnetic storm, or solar flare. The magnetic fluctuations are measured in three-hour intervals (12 a.m.–3 a.m., 3 a.m.–6 a.m., and so on). The bar graph below shows the measurements for a five-day period in September.

Based on the graph, a solar flare lasted for how many hours on September 11?

3. The Kp Index measures the energy added to Earth's magnetic field from the Sun on a scale of 0–9, with 1 representing a solar calm and 5 or more indicating a magnetic storm, or solar flare. The magnetic fluctuations are measured in three-hour intervals (12 a.m.–3 a.m., 3 a.m.–6 a.m., and so on). The bar graph below shows the measurements for a five-day period in September.

If a single 3-hour time period between September 9 and September 13 (including the start and end dates) is chosen at random, what is the probability that a solar flare occurred during that time?

4. Most cinemas have multiple movie theaters, each running a variety of movies all day. The following table shows the daily costs associated with keeping each theater open.

Cinema XV has 15 movie theaters, each of which averages 600 customers per day. If the cinema closes 6 of the theaters during the winter months but total theater attendance stays the same, what is the average daily attendance per theater among the remaining theaters?

5. Most cinemas have multiple movie theaters, each running a variety of movies all day. The following table shows the daily costs associated with keeping each theater open.

If each theater requires one operational staff member for 14 hours, how much money does Cinema XV save per day during the winter months by closing six theaters?

6. The following table shows the number of babies born in a certain hospital in October 2018. The table categorizes the births by whether the mother participated in a new prenatal program and whether the baby was below, above, or within the healthy weight range as defined by the World Health Organization.

The at-risk group is defined as all babies above or below the healthy weight range. What percent of the babies born at this hospital in October 2018 were considered at-risk? Round your answer to the nearest whole number and ignore the percent sign when gridding your response.

7. The following table shows the number of babies born in a certain hospital in October 2018. The table categorizes the births by whether the mother participated in a new prenatal program and whether the baby was below, above, or within the healthy weight range as defined by the World Health Organization.

The hospital decides to focus its study on the two at-risk groups with the highest number of babies: Not a Participant/Below Range and Participant/Above Range. If a baby is randomly selected from all those born at this hospital in October 2018, what is the probability that the baby belongs to one of those two groups?