### Understanding Box Plots: Number of Unhealthy DaysOn this page, we present two box plots labeled (C) and (D), which depict the distribution of the number of unhealthy days recorded. Understanding how to interpret these box plots is critical to analyzing data trends and distributions. Let's break down each component of these box plots in detail.#### Box Plot (C)- **Range:** The data covers from approximately 0 to 11 unhealthy days.- **Box:** The central box spans from about 1 to 9 unhealthy days, representing the interquartile range (IQR), which contains the middle 50% of the data.- **Median:** The vertical line within the box, located at approximately 4 unhealthy days, signifies the median (or the 50th percentile) of the data.- **Whiskers:** The lines extending from the box (whiskers) show the spread of the data outside the IQR, reaching close to 0 on the lower end and 11 on the higher end.#### Box Plot (D)- **Range:** Similar to Plot (C), the range spans from approximately 0 to 12 unhealthy days.- **Box:** The central box ranges from about 1 to 7 unhealthy days.- **Median:** This is represented by the vertical line at approximately 3 unhealthy days.- **Whiskers:** The whiskers extend beyond the box, covering a broader range of data points from around 0 to 12 unhealthy days.#### Comparison and Analysis- **Spread of Data:** Both plots show data spreading from around 0 unhealthy days to approximately 11-12 unhealthy days.- **Middle 50% (IQR):** The IQR of Plot (C) is wider compared to Plot (D), indicating more variability among the middle 50% of the data.- **Median:** The median number of unhealthy days in Plot (C) is higher (approximately 4 days) compared to Plot (D) (approximately 3 days).- **Outliers:** Neither plot shows distinct outliers, indicating data points fall within a consistent range.#### ConclusionBy analyzing these box plots, we can understand the distribution, central tendency, and variability of the number of unhealthy days in the observed datasets. Such visual representations are crucial in identifying patterns and making informed decisions based on statistical data.> **Question:**> - Which box plot shows less variability in unhealthy days?**Options ### Air Quality Study in the MidwestResearchers were interested in looking at air quality in different regions of the United States. The following dotplot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest.**Dotplot:**- The dotplot shows the number of unhealthy air quality days on the x-axis (ranging from 0 to 12 days).- Each dot represents the number of unhealthy days for each of the eighteen cities.- The distribution of dots is as follows: - Days with 0 unhealthy days: 1 city - Days with 2 unhealthy days: 3 cities - Days with 4 unhealthy days: 3 cities - Days with 5 unhealthy days: 3 cities - Days with 6 unhealthy days: 2 cities - Days with 7 unhealthy days: 1 city - Days with 8 unhealthy days: 2 cities - Days with 9 unhealthy days: 1 city - Days with 11 unhealthy days: 1 city - Days with 12 unhealthy days: 1 cityThe task is to determine which of the following boxplots corresponds to this dotplot data.**Boxplot Options:**(A)- This boxplot shows a five-number summary on the x-axis ranging from 0 to 12 days.- Quartiles: - Minimum: 0 - First Quartile (Q1): 3 - Median (Q2): 6 - Third Quartile (Q3): 9 - Maximum: 12(B)- This boxplot shows a five-number summary on the x-axis ranging from 0 to 12 days.- Quartiles: - Minimum: 0 - First Quartile (Q1): 2 - Median (Q2): 5 - Third Quartile (Q3): 7 - Maximum: 12Choosing the correct boxplot requires matching the distribution of the dotplot to the boxplot summaries. The boxplot that best represents the given data would align with the respective quartiles and data points as seen in the dotplot.

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Description: ### Understanding Box Plots: Number of Unhealthy DaysOn this page, we present two box plots labeled (C) and (D), which depict the distribution of the number of unhealthy days recorded. Understanding how to interpret these box plots is critical to an

We have to find five number summary , that is, 1. Minimum Value 2. First Quartile 3. Median 4.…

Math

Statistics

Researchers were interested in looking at air quality in different regions of the United States. The following dotplot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest. 3 6. 8. 9. 10 11 12 Days Which of the following is the boxplot for these data? (A) 1 3 4 5. 8. 10 11 12 Number of Unhealthy Days (B) 10 11 12 Numbe

Researchers were interested in looking at air quality in different regions of the United States. The following dotplot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest. 3 6. 8. 9. 10 11 12 Days Which of the following is the boxplot for these data? (A) 1 3 4 5. 8. 10 11 12 Number of Unhealthy Days (B) 10 11 12 Numbe

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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