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Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67

Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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### Five Number Summary and Interquartile Range Calculation To calculate the five number summary and the interquartile range of the following data set: \[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \] #### Five Number Summary - **Q1** (First Quartile) = [Insert calculation here] - **Q2** (Median) = [Insert calculation here] - **Q3** (Third Quartile) = [Insert calculation here] - **Min** (Minimum value) = [Insert calculation here] - **Max** (Maximum value) = [Insert calculation here] #### Interquartile Range (IQR) \[ \text{IQR} = Q3 - Q1 \] - **IQR** = [Insert calculation here] #### Potential Outlier There is a potential outlier in this data set. - **A. False** - **B. True** Please perform the calculations as follows to fill in the summary: 1. **Sort the Data:** \[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \] 2. **Calculate Q1, Q2, and Q3:** - **Q1:** The median of the first half of the data - **Q2 (Median):** The median of the entire data set - **Q3:** The median of the second half of the data 3. **Find Min and Max:** - **Min:** The smallest number in the data set - **Max:** The largest number in the data set 4. **Calculate the IQR:** - Subtract Q1 from Q3 to get the IQR Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.
Transcribed Image Text:### Five Number Summary and Interquartile Range Calculation To calculate the five number summary and the interquartile range of the following data set: \[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \] #### Five Number Summary - **Q1** (First Quartile) = [Insert calculation here] - **Q2** (Median) = [Insert calculation here] - **Q3** (Third Quartile) = [Insert calculation here] - **Min** (Minimum value) = [Insert calculation here] - **Max** (Maximum value) = [Insert calculation here] #### Interquartile Range (IQR) \[ \text{IQR} = Q3 - Q1 \] - **IQR** = [Insert calculation here] #### Potential Outlier There is a potential outlier in this data set. - **A. False** - **B. True** Please perform the calculations as follows to fill in the summary: 1. **Sort the Data:** \[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \] 2. **Calculate Q1, Q2, and Q3:** - **Q1:** The median of the first half of the data - **Q2 (Median):** The median of the entire data set - **Q3:** The median of the second half of the data 3. **Find Min and Max:** - **Min:** The smallest number in the data set - **Max:** The largest number in the data set 4. **Calculate the IQR:** - Subtract Q1 from Q3 to get the IQR Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.
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