# SAT Math Multiple Choice Question 587: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

### Test Information

- Use your browser's back button to return to your test results.
- Do more SAT Math Multiple Choice Practice Tests.

**Question: 587**

Bowling Scores | |||

Ian | Mae | Jin | |

Game 1 | 160 | 110 | 120 |

Game 2 | 135 | 160 | 180 |

Game 3 | 185 | 140 | 105 |

Game 4 | 135 | 130 | 160 |

Game 5 | 185 | 110 | 135 |

Mean Score | 160 | 130 | 140 |

Standard Deviation | 22 | 19 | 27 |

**2.** Ian, Mae, and Jin bowled five games during a bowling tournament. The table above shows their scores. According to the data, which of the following conclusions is correct?

- A. Ian bowled the most consistently because the mean of his scores is the highest.
- B. Mae bowled the least consistently because the standard deviation of her scores is the lowest.
- C. Mae bowled the most consistently because the standard deviation of her scores is the lowest.
- D. Jin bowled the most consistently because the standard deviation of his scores is the highest.

**Correct Answer:** C

**Explanation:**

C

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: The keyword in the answer choices is "consistently," which relates to how spread out a player's scores are. Standard deviation, not mean, is a measure of spread so you can eliminate choice A right away.

Getting to the Answer: A lower standard deviation indicates scores that are less spread out and therefore more consistent. Likewise, a higher standard deviation indicates scores that are more spread out and therefore less consistent. Notice the opposite nature of this relationship: lower standard deviation = more consistent; higher standard deviation = less consistent. Choice (C) is correct because the standard deviation of Mae's scores is the lowest, which means she bowled the most consistently.