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Question 7: Find the five number summary for the following data. Data: 56, 62, 51, 63, 43, 35, 67, 34, 47

Question 7: Find the five number summary for the following data. Data: 56, 62, 51, 63, 43, 35, 67, 34, 47

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Question 7: Find the five-number summary for the following data. **Data:** 56, 62, 51, 63, 43, 35, 67, 34, 47 --- **Explanation:** To find the five-number summary, we need to identify the following components from the data: 1. **Minimum**: The smallest number in the dataset. 2. **First Quartile (Q1)**: The median of the lower half of the dataset (excluding the median if the number of data points is odd). 3. **Median (Q2)**: The middle number of the dataset. 4. **Third Quartile (Q3)**: The median of the upper half of the dataset. 5. **Maximum**: The largest number in the dataset. Step-by-step process: 1. **Order the data set from smallest to largest**: 34, 35, 43, 47, 51, 56, 62, 63, 67 2. **Identify the median** (Q2): - The median is the middle number in the ordered dataset. - For the ordered dataset (34, 35, 43, 47, 51, 56, 62, 63, 67), the median is 51. 3. **Identify Q1** (First Quartile): - The lower half of the data: 34, 35, 43, 47 - The median of the lower half (Q1) is (35 + 43) / 2 = 39. 4. **Identify Q3** (Third Quartile): - The upper half of the data: 56, 62, 63, 67 - The median of the upper half (Q3) is (62 + 63) / 2 = 62.5. 5. **Minimum and Maximum values**: - Minimum: 34 - Maximum: 67 **Five-Number Summary:** - Minimum: 34 - Q1: 39 - Median (Q2): 51 - Q3: 62.5 - Maximum: 67
Transcribed Image Text:### Question 7: Find the five-number summary for the following data. **Data:** 56, 62, 51, 63, 43, 35, 67, 34, 47 --- **Explanation:** To find the five-number summary, we need to identify the following components from the data: 1. **Minimum**: The smallest number in the dataset. 2. **First Quartile (Q1)**: The median of the lower half of the dataset (excluding the median if the number of data points is odd). 3. **Median (Q2)**: The middle number of the dataset. 4. **Third Quartile (Q3)**: The median of the upper half of the dataset. 5. **Maximum**: The largest number in the dataset. Step-by-step process: 1. **Order the data set from smallest to largest**: 34, 35, 43, 47, 51, 56, 62, 63, 67 2. **Identify the median** (Q2): - The median is the middle number in the ordered dataset. - For the ordered dataset (34, 35, 43, 47, 51, 56, 62, 63, 67), the median is 51. 3. **Identify Q1** (First Quartile): - The lower half of the data: 34, 35, 43, 47 - The median of the lower half (Q1) is (35 + 43) / 2 = 39. 4. **Identify Q3** (Third Quartile): - The upper half of the data: 56, 62, 63, 67 - The median of the upper half (Q3) is (62 + 63) / 2 = 62.5. 5. **Minimum and Maximum values**: - Minimum: 34 - Maximum: 67 **Five-Number Summary:** - Minimum: 34 - Q1: 39 - Median (Q2): 51 - Q3: 62.5 - Maximum: 67
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