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

**1.**

Jerseys | Shorts | T-Shirts | Tank Tops | Sweatshirts | Sweatpants | |
---|---|---|---|---|---|---|

Red | 6 | 3 | 4 | 7 | 8 | 8 |

Green | 2 | 7 | 5 | 3 | 5 | 4 |

Blue | 8 | 9 | 7 | 5 | 4 |

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.

Expense per Theater | Amount |
---|---|

Electricity | $150/day |

Trash Disposal and Cleaning | $80/day |

Operational Staff | $11/hour |

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.

Expense per Theater | Amount |
---|---|

Electricity | $150/day |

Trash Disposal and Cleaning | $80/day |

Operational Staff | $11/hour |

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.

Below Range | Within Range | Above Range | Total | |
---|---|---|---|---|

Participant | 1 | 55 | 10 | 66 |

Not a Participant | 8 | 49 | 5 | 62 |

Total | 9 | 104 | 15 | 128 |

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.

Below Range | Within Range | Above Range | Total | |
---|---|---|---|---|

Participant | 1 | 55 | 10 | 66 |

Not a Participant | 8 | 49 | 5 | 62 |

Total | 9 | 104 | 15 | 128 |

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?

### Test Information

- 7 questions
- 10 minutes
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