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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
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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?
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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?.
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