Class 10 Exam > Class 10 Questions > Find the mean mode and median of the followin...
Start Learning for Free
Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3?
Most Upvoted Answer
Find the mean mode and median of the following data:-Class interval:- ...
Hey I will u give u ans. in short form .
mean = €fixi/ €fi
mean = 162 / 20 = 81 / 10 = 8.1
Now mode
modal class = 8 - 10
mode = l + ( f1 - f0 / 2f1 - f0 - f2 ) ×h
l = 8
f1 = 6
f0 = 5
f2 = 2 , h = 2
so now put the value of these in formula
8 + ( 6 - 5 / 2× 6 - 5 - 2 ) × 2
8 + ( 1 / 12 - 7 ) × 2
8 + 1 / 5 ×2
8 + 2/5
40 + 2 / 5
42 / 5
mode = 8.4
Median = l + ( n / 2 - cf / f ) × h
median class = 8 - 10
n / 2 = 10
cf = 9
f = 6
h = 2 , l = 8
median = 8 + ( 10 - 9 / 6 ) ×2
8 + 1 / 6 × 2
8 + 1 / 3
24 + 1 / 3 = 25 / 3 = 8.33 i.e , 8. 34
mean = €fixi/ €fi
mean = 162 / 20 = 81 / 10 = 8.1
Now mode
modal class = 8 - 10
mode = l + ( f1 - f0 / 2f1 - f0 - f2 ) ×h
l = 8
f1 = 6
f0 = 5
f2 = 2 , h = 2
so now put the value of these in formula
8 + ( 6 - 5 / 2× 6 - 5 - 2 ) × 2
8 + ( 1 / 12 - 7 ) × 2
8 + 1 / 5 ×2
8 + 2/5
40 + 2 / 5
42 / 5
mode = 8.4
Median = l + ( n / 2 - cf / f ) × h
median class = 8 - 10
n / 2 = 10
cf = 9
f = 6
h = 2 , l = 8
median = 8 + ( 10 - 9 / 6 ) ×2
8 + 1 / 6 × 2
8 + 1 / 3
24 + 1 / 3 = 25 / 3 = 8.33 i.e , 8. 34
Community Answer
Find the mean mode and median of the following data:-Class interval:- ...
Mean, Mode, and Median of the given data
Data
- Class interval: 0-2, 2-4, 4-6, 6-8, 8-10, 10-12, 12-14
- Frequency: 1, 2, 1, 5, 6, 2, 3
Finding the Mean
To find the mean, we need to use the formula:
Mean = (Sum of all values)/(Number of values)
We can find the sum of all values by multiplying the midpoint of each class interval by its corresponding frequency.
| Class interval | Midpoint | Frequency | Midpoint x Frequency |
|---|---|---|---|
| 0-2 | 1 | 1 | 1 |
| 2-4 | 3 | 2 | 6 |
| 4-6 | 5 | 1 | 5 |
| 6-8 | 7 | 5 | 35 |
| 8-10 | 9 | 6 | 54 |
| 10-12 | 11 | 2 | 22 |
| 12-14 | 13 | 3 | 39 |
| Total | 162 | ||
Now, we can plug in the values to the formula:
Mean = 162/20 = 8.1
Finding the Mode
The mode is the value that occurs most frequently in the data. From the frequency table, we can see that the value 8 occurs the most with a frequency of 6. Therefore, the mode is 8.
Finding the Median
The median is the middle value in the sorted data. First, we need to sort the data:
0-2, 2-4, 4-6, 6-8, 6-8, 6-8, 6-8, 6-8, 8-10, 8-10, 8-10, 8-10, 8-10, 10-12, 10-12, 12-14, 12-14, 12-14
There are 18 values in the data, so the middle value is the ninth value, which is 6-8. Therefore, the median is 6-8.
Conclusion
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3?
Question Description
Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3?.
Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3?.
Solutions for Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? defined & explained in the simplest way possible. Besides giving the explanation of
Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3?, a detailed solution for Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? has been provided alongside types of Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? theory, EduRev gives you an
ample number of questions to practice Find the mean mode and median of the following data:-Class interval:- 0-2,2-4,4-6,6-8,8-10,10-12,12-14 Frequency is equal to 1,2,1,5,6,2,3? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup