**Transcription for Educational Website** **Question 22** Approximate the median for the following GFDT. (Report the answer as the midpoint of the class containing the median.) | Data | Frequency | |-------|-----------| | 40 - 44 | 1 | | 45 - 49 | 1 | | 50 - 54 | 3 | | 55 - 59 | 6 | | 60 - 64 | 8 | | 65 - 69 | 12 | | 70 - 74 | 10 | | 75 - 79 | 22 | | 80 - 84 | 12 | **Input Box:** median = [ ] **Button:** Submit Question **Explanation:** The table is a grouped frequency distribution table (GFDT) showing data categories and their respective frequencies. Each 'Data' range represents a class interval, and the 'Frequency' column shows how many observations fall within each interval. The task is to find the median class and report the midpoint of that class as the median.
**Transcription for Educational Website** **Question 22** Approximate the median for the following GFDT. (Report the answer as the midpoint of the class containing the median.) | Data | Frequency | |-------|-----------| | 40 - 44 | 1 | | 45 - 49 | 1 | | 50 - 54 | 3 | | 55 - 59 | 6 | | 60 - 64 | 8 | | 65 - 69 | 12 | | 70 - 74 | 10 | | 75 - 79 | 22 | | 80 - 84 | 12 | **Input Box:** median = [ ] **Button:** Submit Question **Explanation:** The table is a grouped frequency distribution table (GFDT) showing data categories and their respective frequencies. Each 'Data' range represents a class interval, and the 'Frequency' column shows how many observations fall within each interval. The task is to find the median class and report the midpoint of that class as 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
Related questions
Question
![**Transcription for Educational Website**
**Question 22**
Approximate the median for the following GFDT. (Report the answer as the midpoint of the class containing the median.)
| Data | Frequency |
|-------|-----------|
| 40 - 44 | 1 |
| 45 - 49 | 1 |
| 50 - 54 | 3 |
| 55 - 59 | 6 |
| 60 - 64 | 8 |
| 65 - 69 | 12 |
| 70 - 74 | 10 |
| 75 - 79 | 22 |
| 80 - 84 | 12 |
**Input Box:**
median = [ ]
**Button:**
Submit Question
**Explanation:**
The table is a grouped frequency distribution table (GFDT) showing data categories and their respective frequencies. Each 'Data' range represents a class interval, and the 'Frequency' column shows how many observations fall within each interval. The task is to find the median class and report the midpoint of that class as the median.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71586c71-e002-40ed-a348-3617b1ab0846%2Fa1caf040-e8b7-40d5-b204-189be703b61a%2Fa644mtp.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
**Question 22**
Approximate the median for the following GFDT. (Report the answer as the midpoint of the class containing the median.)
| Data | Frequency |
|-------|-----------|
| 40 - 44 | 1 |
| 45 - 49 | 1 |
| 50 - 54 | 3 |
| 55 - 59 | 6 |
| 60 - 64 | 8 |
| 65 - 69 | 12 |
| 70 - 74 | 10 |
| 75 - 79 | 22 |
| 80 - 84 | 12 |
**Input Box:**
median = [ ]
**Button:**
Submit Question
**Explanation:**
The table is a grouped frequency distribution table (GFDT) showing data categories and their respective frequencies. Each 'Data' range represents a class interval, and the 'Frequency' column shows how many observations fall within each interval. The task is to find the median class and report the midpoint of that class as the median.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We have given that
∴L=lower boundary point of median class =69.5
n=Total Frequency
cf=Cumulative frequency of the class preceding the median class =31
f=Frequency of the median class =10
c=class length of median class =5
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![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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