**Understanding Box Plots and Data Distribution***Scores on an accounting exam ranged from 44 to 96, with quartiles \( Q_1 = 60.00 \), \( Q_2 = 84.5 \), and \( Q_3 = 88.50 \).***Task:**(a) *Select the correct box plot for the given data.*- **Box Plot A, Box Plot B, Box Plot C** Box Plot A: - Median line at approximately 84.5 - Interquartile range extends from approximately 60 to 88.5 - Whiskers range from about 44 to 96 Box Plot B: - Median line at approximately 70 - Range and quartiles not matching the given data Box Plot C: - Median line at approximately 71 - Range and quartiles not matching the given data(b) *Describe its shape (skewed left, symmetric, skewed right).*- The distribution is skewed right.- The distribution is symmetric.- The distribution is skewed left.**Graph/Diagram Explanation:**- A box plot is a graphical representation used to display the distribution of data based on a five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. - Box plots A, B, and C each have a box illustrating the interquartile range with a line inside representing the median.- In this case, Box Plot A is the correct box plot because its median and quartiles match the given data points. The box plot also has whiskers extending from the quartiles to the minimum and maximum values of the data set.**Answer Key:**- The correct box plot is Box Plot A.- Based on the box plot, the distribution appears to be symmetric as the median is centered within the interquartile range, and both whiskers are of approximately equal length.By understanding box plots and the distribution of data, students can better analyze and describe data sets in statistics. The image contains two box plots, labeled "BoxPlot B" and "BoxPlot C," presented side by side.### BoxPlot B:- **Scale Range:** 60 to 100- **Description:** The box plot represents data distribution with a significant portion of the data centered around lower values. The plot shows the central 50% of the data (the interquartile range, IQR), stretching from approximately 65 to 88. The median is around 75, and the whiskers extend beyond the interquartile range, indicating the spread of the remaining data, with the maximum value reaching close to 100.### BoxPlot C:- **Scale Range:** 40 to 90- **Description:** This box plot displays a distribution skewed towards higher values compared to BoxPlot B. The central 50% of the data lies between approximately 55 and 78, with the median around 68. The whiskers illustrate the overall spread, extending from approximately 40 to 90, suggesting a wider distribution compared to BoxPlot B.Both plots provide a visual summary of data distribution, helping in comparing central tendencies, variability, and overall distribution characteristics of two different datasets.

We have given that Q1 = 60, Q2 = 84.5, Q3 = 88.5

Answered: Scores on an accounting exam ranged…

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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