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Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4?
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Calculate median value of the following data using graphic technique s...
Calculating Median Value using Graphic Technique
- Step 1: Make a frequency table with classes and their respective frequencies.
- Step 2: Calculate the cumulative frequencies by adding up the frequencies of each class.
- Step 3: Draw a graph with the class intervals on the x-axis and the cumulative frequencies on the y-axis.
- Step 4: Find the median class by dividing the total frequency by 2 and finding the class that contains this value.
- Step 5: Calculate the median value using the formula: Median = L + ((n/2 - CF)/f) x w, where L is the lower limit of the median class, n is the total frequency, CF is the cumulative frequency of the class before the median class, f is the frequency of the median class, and w is the width of the class interval.
Applying the Steps to the Given Data
Size: 0-10, 10-20, 20-30, 30-40, 40-50, 50-60
Frequency: 3, 10, 20, 7, 6, 4
- Step 1: Construct a frequency table:
- Step 2: Calculate the cumulative frequencies.
- Step 3: Draw a graph.
- Step 4: Find the median class.
- Step 5: Calculate the median value.
| Class | Frequency | Cumulative Frequency |
|---|---|---|
| 0-10 | 3 | 3 |
| 10-20 | 10 | 13 |
| 20-30 | 20 | 33 |
| 30-40 | 7 | 40 |
| 40-50 | 6 | 46 |
| 50-60 | 4 | 50 |
Cumulative Frequency: 3, 13, 33, 40, 46, 50
See attached image for the graph.
Total frequency = 50
50/2 = 25
Thus, the median class is 20-30.
L = 20
n = 50
CF = 13
f = 20
w = 10
Median = 20 + ((25 - 13)/20) x 10
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Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4?
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Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4?.
Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate median value of the following data using graphic technique size = 0-10,10-20,20-30,30-40,40-50,50,60 frequency =3,10,20,7,6,4?.
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