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What is the Q1, Q2, Q3, upper and lower range of the following set? 297, 239, 195, 183, 276, 270, 178, 213, 182, 271, 262, 184, 201, 259, 253, 266, 188, 198, 273

What is the Q1, Q2, Q3, upper and lower range of the following set? 297, 239, 195, 183, 276, 270, 178, 213, 182, 271, 262, 184, 201, 259, 253, 266, 188, 198, 273

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Analyzing a Data Set **Objective:** Determine the first quartile (Q1), second quartile (Q2 or median), third quartile (Q3), as well as the upper and lower ranges of a data set. #### Data Set: 297, 239, 195, 183, 276, 270, 178, 213, 182, 271, 262, 184, 201, 259, 253, 266, 188, 198, 273 #### Instructions: Identify the following statistics for the data set: - **Lower Range** - **Upper Range** - **First Quartile (Q1)** - **Second Quartile (Q2)** - **Third Quartile (Q3)** #### Dropdown Options for Each Statistic: - 188 - 230 - 297 - 40 - 178 - 239 - 270 #### Explanation: 1. **Lower Range:** - The smallest value in the data set. 2. **Upper Range:** - The largest value in the data set. 3. **Quartiles (Q1, Q2, Q3):** - **Q1 (First Quartile):** The median of the first half of the data set. - **Q2 (Second Quartile or Median):** The median of the entire data set. - **Q3 (Third Quartile):** The median of the second half of the data set. Explore each option from the dropdown to evaluate and select the correct values for each statistical measure.
Transcribed Image Text:### Analyzing a Data Set **Objective:** Determine the first quartile (Q1), second quartile (Q2 or median), third quartile (Q3), as well as the upper and lower ranges of a data set. #### Data Set: 297, 239, 195, 183, 276, 270, 178, 213, 182, 271, 262, 184, 201, 259, 253, 266, 188, 198, 273 #### Instructions: Identify the following statistics for the data set: - **Lower Range** - **Upper Range** - **First Quartile (Q1)** - **Second Quartile (Q2)** - **Third Quartile (Q3)** #### Dropdown Options for Each Statistic: - 188 - 230 - 297 - 40 - 178 - 239 - 270 #### Explanation: 1. **Lower Range:** - The smallest value in the data set. 2. **Upper Range:** - The largest value in the data set. 3. **Quartiles (Q1, Q2, Q3):** - **Q1 (First Quartile):** The median of the first half of the data set. - **Q2 (Second Quartile or Median):** The median of the entire data set. - **Q3 (Third Quartile):** The median of the second half of the data set. Explore each option from the dropdown to evaluate and select the correct values for each statistical measure.
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