The Centers for Disease Control and Prevention recommends that adults get between 7-8 hours of sleep each night. The dotplot below shows the results from a sample of 13 adults who were asked how many hours of sleep they had the previousnight. What is the median for the dataset? **Educational Text Transcription:**---The Centers for Disease Control and Prevention recommends that adults get between 7–8 hours of sleep each night. The dot plot below shows the results from a sample of 13 adults who were asked how many hours of sleep they had the previous night. What is the median for the dataset?**Dot Plot Explanation:**- The horizontal axis represents the number of hours of sleep, ranging from 3 to 9 hours.- Each red dot corresponds to an individual's reported hours of sleep.- The dot plot presents the following data points: - 3 hours: 1 person - 4 hours: 1 person - 5 hours: 2 people - 6 hours: 4 people - 7 hours: 3 people - 8 hours: 1 person - 9 hours: 1 person**Finding the Median:**To find the median:1. Arrange the data in ascending order: 3, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 9.2. Since there are 13 data points, the median is the 7th value in the ordered list.Thus, the median number of hours of sleep is **6** hours.

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Answered: **Educational Text Transcription:**…

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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Question

The Centers for Disease Control and Prevention recommends that adults get between 7-8 hours of sleep each night. The dot
plot below shows the results from a sample of 13 adults who were asked how many hours of sleep they had the previous
night. What is the median for the dataset?

**Educational Text Transcription:**

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The Centers for Disease Control and Prevention recommends that adults get between 7–8 hours of sleep each night. The dot plot below shows the results from a sample of 13 adults who were asked how many hours of sleep they had the previous night. What is the median for the dataset?

**Dot Plot Explanation:**

- The horizontal axis represents the number of hours of sleep, ranging from 3 to 9 hours.
- Each red dot corresponds to an individual's reported hours of sleep.
- The dot plot presents the following data points:
- 3 hours: 1 person
- 4 hours: 1 person
- 5 hours: 2 people
- 6 hours: 4 people
- 7 hours: 3 people
- 8 hours: 1 person
- 9 hours: 1 person

**Finding the Median:**

To find the median:
1. Arrange the data in ascending order: 3, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 9.
2. Since there are 13 data points, the median is the 7th value in the ordered list.

Thus, the median number of hours of sleep is **6** hours.

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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