What is the interquartile range (IQR) of the data set represented by this box plot? 44 51 56 72 81

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Box Plot Analysis**

**Question:** What is the interquartile range (IQR) of the data set represented by this box plot?

**Explanation of the Box Plot:**
- **Minimum Value:** 44
- **First Quartile (Q1):** 51
- **Median:** 56
- **Third Quartile (Q3):** 72
- **Maximum Value:** 81

The box plot displays a visual summary of the data set highlighting the minimum, first quartile, median, third quartile, and maximum.

**Interquartile Range (IQR):**
- The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).
- IQR = Q3 - Q1 = 72 - 51 = 21

The IQR of this data set is 21, which represents the range within which the central 50% of the data falls.
Transcribed Image Text:**Box Plot Analysis** **Question:** What is the interquartile range (IQR) of the data set represented by this box plot? **Explanation of the Box Plot:** - **Minimum Value:** 44 - **First Quartile (Q1):** 51 - **Median:** 56 - **Third Quartile (Q3):** 72 - **Maximum Value:** 81 The box plot displays a visual summary of the data set highlighting the minimum, first quartile, median, third quartile, and maximum. **Interquartile Range (IQR):** - The IQR is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). - IQR = Q3 - Q1 = 72 - 51 = 21 The IQR of this data set is 21, which represents the range within which the central 50% of the data falls.
### Multiple Choice Question

Select the correct answer from the options below:

- **A.** 21
- **B.** 51
- **C.** 16
- **D.** 56

(Note: This image depicts a multiple-choice question format often used in educational assessments. There are no additional graphs or diagrams associated with this content.)
Transcribed Image Text:### Multiple Choice Question Select the correct answer from the options below: - **A.** 21 - **B.** 51 - **C.** 16 - **D.** 56 (Note: This image depicts a multiple-choice question format often used in educational assessments. There are no additional graphs or diagrams associated with this content.)
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