MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
**Educational Resource: Five-Number Summary** --- **The weights (in pounds) of 30 preschool children are listed below. Find the five-number summary.** 25, 25, 26, 26.5, 27, 27, 27.5, 28, 28.5 29, 29, 30, 30, 30.5, 31, 31, 32, 32.5, 32.5 33, 33, 34, 34.5, 35, 35, 37, 37, 38, 38 --- **Options for the Five-Number Summary:** A. Min = 25, Q₁ = 28, Q₂ = 30.75, Q₃ = 34, Max = 38 B. Min = 25, Q₁ = 27.5, Q₂ = 30.5, Q₃ = 33.5, Max = 38 C. Min = 25, Q₁ = 27.5, Q₂ = 30.75, Q₃ = 33, Max = 38 D. Min = 25, Q₁ = 28, Q₂ = 30.5, Q₃ = 34, Max = 38 --- **Explanation:** The five-number summary of a data set consists of: - The minimum value (Min) - The first quartile (Q₁): The median of the lower half of the dataset - The median (Q₂): The middle value of the dataset - The third quartile (Q₃): The median of the upper half of the dataset - The maximum value (Max) To determine the correct five-number summary, consider the following steps: 1. Arrange the data in ascending order (already ordered in this case). 2. Identify the minimum, maximum, median, and quartiles. Using this information, you can determine which of the given options correctly represents the five-number summary of the provided weights.
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Transcribed Image Text:**Educational Resource: Five-Number Summary** --- **The weights (in pounds) of 30 preschool children are listed below. Find the five-number summary.** 25, 25, 26, 26.5, 27, 27, 27.5, 28, 28.5 29, 29, 30, 30, 30.5, 31, 31, 32, 32.5, 32.5 33, 33, 34, 34.5, 35, 35, 37, 37, 38, 38 --- **Options for the Five-Number Summary:** A. Min = 25, Q₁ = 28, Q₂ = 30.75, Q₃ = 34, Max = 38 B. Min = 25, Q₁ = 27.5, Q₂ = 30.5, Q₃ = 33.5, Max = 38 C. Min = 25, Q₁ = 27.5, Q₂ = 30.75, Q₃ = 33, Max = 38 D. Min = 25, Q₁ = 28, Q₂ = 30.5, Q₃ = 34, Max = 38 --- **Explanation:** The five-number summary of a data set consists of: - The minimum value (Min) - The first quartile (Q₁): The median of the lower half of the dataset - The median (Q₂): The middle value of the dataset - The third quartile (Q₃): The median of the upper half of the dataset - The maximum value (Max) To determine the correct five-number summary, consider the following steps: 1. Arrange the data in ascending order (already ordered in this case). 2. Identify the minimum, maximum, median, and quartiles. Using this information, you can determine which of the given options correctly represents the five-number summary of the provided weights.
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