The box plot below depicts the median number of hours a population of N= 12 students reported studying for their first exam within a class. Which statement below is not true based on the box plot? The median is 5.The highest score in the distribution is 7.The lowest score in the distribution is 1.The interquartile range is 5. The image is a box plot representing the average hours spent studying for Exam 1.**Description of the Box Plot:**- **Y-axis:** Labeled "Average Hours Studying," the scale ranges from 0 to 7 hours.- **Box:** Represents the interquartile range (IQR), showing the middle 50% of data. - The lower boundary of the box aligns with 3 hours. - The upper boundary aligns with 6 hours.- **Median:** Represented by a line within the box at approximately 5 hours, indicating the middle value of the dataset.- **Whiskers:** Extend from the box. - The lower whisker reaches down to about 1 hour. - The upper whisker extends to approximately 7 hours.- **Mean:** Denoted by an "X" inside the box, located around 4.5 hours.This box plot effectively presents the distribution of study hours for Exam 1, highlighting the central tendency and variability within the data.

We have given that the five number summary in box plot. The population of size N = 12 students…

Answered: The box plot below depicts the median…

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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The box plot below depicts the median number of hours a population of N
= 12 students reported studying for their first exam within a class. Which statement below is not true based on the box plot?

The median is 5.

The highest score in the distribution is 7.

The lowest score in the distribution is 1.

The interquartile range is 5.

The image is a box plot representing the average hours spent studying for Exam 1.

**Description of the Box Plot:**

- **Y-axis:** Labeled "Average Hours Studying," the scale ranges from 0 to 7 hours.
- **Box:** Represents the interquartile range (IQR), showing the middle 50% of data.
- The lower boundary of the box aligns with 3 hours.
- The upper boundary aligns with 6 hours.
- **Median:** Represented by a line within the box at approximately 5 hours, indicating the middle value of the dataset.
- **Whiskers:** Extend from the box.
- The lower whisker reaches down to about 1 hour.
- The upper whisker extends to approximately 7 hours.
- **Mean:** Denoted by an "X" inside the box, located around 4.5 hours.

This box plot effectively presents the distribution of study hours for Exam 1, highlighting the central tendency and variability within the data.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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