What is the first quartile of the following data set? 18, 20, 21, 23, 24, 26, 29, 30, 34, 37, 40 A. 18 О В. 20 С. 23 D. 21

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Question:**

What is the first quartile of the following data set?

18, 20, 21, 23, 24, 26, 29, 30, 34, 37, 40

**Options:**

- A. 18

- B. 20

- C. 23

- D. 21

The correct answer is D. 21.

**Explanation:**

The first quartile (Q1) is the median of the lower half of the dataset. To find Q1:

1. The data set is: 18, 20, 21, 23, 24, 26, 29, 30, 34, 37, 40.
2. Split the data into two halves: Lower half = 18, 20, 21, 23, 24.
3. Find the median of the lower half: 21.

Therefore, the first quartile is 21.
Transcribed Image Text:**Question:** What is the first quartile of the following data set? 18, 20, 21, 23, 24, 26, 29, 30, 34, 37, 40 **Options:** - A. 18 - B. 20 - C. 23 - D. 21 The correct answer is D. 21. **Explanation:** The first quartile (Q1) is the median of the lower half of the dataset. To find Q1: 1. The data set is: 18, 20, 21, 23, 24, 26, 29, 30, 34, 37, 40. 2. Split the data into two halves: Lower half = 18, 20, 21, 23, 24. 3. Find the median of the lower half: 21. Therefore, the first quartile is 21.
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