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Here are yesterday's high temperatures (in Fahrenheit) in 14 U.S. cities. 46, 49, 50, 55, 56, 59, 59, 62, 69, 70, 71, 75, 81, 84 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: Lower quartile: Median: Upper quartile: Maximum: Interquartile range: Español ?

Here are yesterday's high temperatures (in Fahrenheit) in 14 U.S. cities. 46, 49, 50, 55, 56, 59, 59, 62, 69, 70, 71, 75, 81, 84 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: Lower quartile: Median: Upper quartile: Maximum: Interquartile range: Español ?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**High Temperatures in U.S. Cities: Statistical Analysis** Here are yesterday's high temperatures (in Fahrenheit) in 14 U.S. cities: - 46, 49, 50, 55, 56, 59, 59, 62, 69, 70, 71, 75, 81, 84 Notice that the temperatures are ordered from least to greatest. ### Five-Number Summary and Interquartile Range The five-number summary includes the following: 1. **Minimum:** The lowest temperature in the data set. 2. **Lower Quartile (Q1):** The median of the lower half of the data (excluding the overall median if the number of observations is odd). It divides the lowest 25% of data from the rest. 3. **Median:** The middle value of the data set, which divides the data into two equal parts. 4. **Upper Quartile (Q3):** The median of the upper half of the data. It divides the highest 25% of data from the rest. 5. **Maximum:** The highest temperature in the data set. The **Interquartile Range (IQR)** is the difference between the upper quartile (Q3) and the lower quartile (Q1). It measures the spread of the middle 50% of the data. To calculate these, list the temperatures in order: - **Minimum:** 46 - **Lower Quartile (Q1):** 55 - **Median:** 64 (mean of 59 and 62) - **Upper Quartile (Q3):** 75 - **Maximum:** 84 **Interquartile Range (IQR):** \( Q3 - Q1 = 75 - 55 = 20 \) This analysis helps in understanding the distribution and spread of high temperatures across the cities.
Transcribed Image Text:**High Temperatures in U.S. Cities: Statistical Analysis** Here are yesterday's high temperatures (in Fahrenheit) in 14 U.S. cities: - 46, 49, 50, 55, 56, 59, 59, 62, 69, 70, 71, 75, 81, 84 Notice that the temperatures are ordered from least to greatest. ### Five-Number Summary and Interquartile Range The five-number summary includes the following: 1. **Minimum:** The lowest temperature in the data set. 2. **Lower Quartile (Q1):** The median of the lower half of the data (excluding the overall median if the number of observations is odd). It divides the lowest 25% of data from the rest. 3. **Median:** The middle value of the data set, which divides the data into two equal parts. 4. **Upper Quartile (Q3):** The median of the upper half of the data. It divides the highest 25% of data from the rest. 5. **Maximum:** The highest temperature in the data set. The **Interquartile Range (IQR)** is the difference between the upper quartile (Q3) and the lower quartile (Q1). It measures the spread of the middle 50% of the data. To calculate these, list the temperatures in order: - **Minimum:** 46 - **Lower Quartile (Q1):** 55 - **Median:** 64 (mean of 59 and 62) - **Upper Quartile (Q3):** 75 - **Maximum:** 84 **Interquartile Range (IQR):** \( Q3 - Q1 = 75 - 55 = 20 \) This analysis helps in understanding the distribution and spread of high temperatures across the cities.
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