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Find the mean, mode and median of the following data:- Class interval:-0-2, 2-4, 4-8, 8-10, 10-12, 12-14 Frequency:- 1,2,1,5,6 , 2,3?
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Find the mean, mode and median of the following data:- Class interval:...
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Find the mean, mode and median of the following data:- Class interval:...
Given Data:
Class interval: 0-2, 2-4, 4-8, 8-10, 10-12, 12-14
Frequency: 1, 2, 1, 5, 6, 2, 3

Mean:
The mean is the average value of a set of data. To find the mean, we need to calculate the sum of the products of each class interval and its corresponding frequency, and then divide it by the total frequency.

Let's calculate the mid-values for each class interval:
0-2: (0 + 2) / 2 = 1
2-4: (2 + 4) / 2 = 3
4-8: (4 + 8) / 2 = 6
8-10: (8 + 10) / 2 = 9
10-12: (10 + 12) / 2 = 11
12-14: (12 + 14) / 2 = 13

Now, let's calculate the sum of the products of mid-values and frequencies:
(1 * 1) + (3 * 2) + (6 * 1) + (9 * 5) + (11 * 6) + (13 * 2) + (15 * 3) = 204

The total frequency is: 1 + 2 + 1 + 5 + 6 + 2 + 3 = 20

Therefore, the mean is: 204 / 20 = 10.2

Mode:
The mode is the value that appears most frequently in a set of data. To find the mode, we need to identify the class interval with the highest frequency.

In this case, the class interval with the highest frequency is 10-12, which has a frequency of 6. Therefore, the mode is 10-12.

Median:
The median is the middle value of a set of data when it is arranged in ascending or descending order. To find the median, we need to arrange the data and locate the middle term.

First, let's arrange the data in ascending order:
0-2, 2-4, 4-8, 8-10, 10-12, 12-14

Since the total frequency is 20, the middle term will be the 10th value.

Counting from the beginning, the 10th value falls into the class interval 10-12.

Therefore, the median is 10-12.

Summary:
- Mean: 10.2
- Mode: 10-12
- Median: 10-12

The mean gives us the average value of the data, which is 10.2. The mode tells us the class interval with the highest frequency, which is 10-12. The median represents the middle value of the data, which is also 10-12 in this case.
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Find the mean, mode and median of the following data:- Class interval:-0-2, 2-4, 4-8, 8-10, 10-12, 12-14 Frequency:- 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, 4-8, 8-10, 10-12, 12-14 Frequency:- 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, 4-8, 8-10, 10-12, 12-14 Frequency:- 1,2,1,5,6 , 2,3?.
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