**Title: Box-and-Whisker Plot of Work Hours Reported by Recent College Graduates**---**Description:**Below are the numbers of hours that a sample of 19 recent college graduates reported working last week.51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50Send data to calculator | Send data to ExcelUsing the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data.---**Box-and-Whisker Plot:**The box-and-whisker plot visually represents the distribution of a dataset through five main summary statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.1. **Plot Explanation:** - **Number of hours worked on the x-axis:** The x-axis is labeled "Number of hours worked" and ranges from 35 to 75, in increments of 5 units. - **Box:** - **Left edge (Q1):** Represents the first quartile value (around 48 hours). - **Right edge (Q3):** Represents the third quartile value (around 64 hours). - **Line inside the box (Median):** Represents the median value (around 53 hours). - **Whiskers:** - **Left whisker (Minimum):** Represents the minimum value of the data set (35 hours). - **Right whisker (Maximum):** Represents the maximum value of the data set (71 hours). - **Outliers:** Data points outside 1.5 times the interquartile range (IQR) from Q1 and Q3. However, in this plot, there are no visible outliers beyond the whiskers.This plot gives a visual summary of the central tendency, dispersion, and skewness of the number of hours worked by the sampled college graduates.---By analyzing the box-and-whisker plot, one can observe that the majority of the graduates worked between 48 and 64 hours last week, with a median work time of around 53 hours. A longer right whisker indicates a potential upper-end skew or variability in the longer work hours reported.

Name: **Title: Box-and-Whisker Plot of Work Hours Reported by Recent Colleg
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Description: **Title: Box-and-Whisker Plot of Work Hours Reported by Recent College Graduates**---**Description:**Below are the numbers of hours that a sample of 19 recent college graduates reported working last week.51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 3

From the given date . We create box plot.

Math

Statistics

Below are numbers of hours that a sample of 19 recent college graduates reported working last week. 51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50 Send data to calculator Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data. ? 35 50 55 60 65 70 75 Number of hours worked

Below are numbers of hours that a sample of 19 recent college graduates reported working last week. 51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50 Send data to calculator Send data to Excel Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data. ? 35 50 55 60 65 70 75 Number of hours worked

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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Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

**Title: Box-and-Whisker Plot of Work Hours Reported by Recent College Graduates**

---

**Description:**
Below are the numbers of hours that a sample of 19 recent college graduates reported working last week.

51, 64, 40, 70, 53, 62, 38, 71, 57, 48, 48, 36, 50, 61, 52, 65, 69, 35, 50

Send data to calculator | Send data to Excel

Using the tool provided, construct a box-and-whisker plot (sometimes called a boxplot) for the data.

---

**Box-and-Whisker Plot:**
The box-and-whisker plot visually represents the distribution of a dataset through five main summary statistics: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

1. **Plot Explanation:**
- **Number of hours worked on the x-axis:** The x-axis is labeled "Number of hours worked" and ranges from 35 to 75, in increments of 5 units.
- **Box:**
- **Left edge (Q1):** Represents the first quartile value (around 48 hours).
- **Right edge (Q3):** Represents the third quartile value (around 64 hours).
- **Line inside the box (Median):** Represents the median value (around 53 hours).
- **Whiskers:**
- **Left whisker (Minimum):** Represents the minimum value of the data set (35 hours).
- **Right whisker (Maximum):** Represents the maximum value of the data set (71 hours).
- **Outliers:** Data points outside 1.5 times the interquartile range (IQR) from Q1 and Q3. However, in this plot, there are no visible outliers beyond the whiskers.

This plot gives a visual summary of the central tendency, dispersion, and skewness of the number of hours worked by the sampled college graduates.

---

By analyzing the box-and-whisker plot, one can observe that the majority of the graduates worked between 48 and 64 hours last week, with a median work time of around 53 hours. A longer right whisker indicates a potential upper-end skew or variability in the longer work hours reported.

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