An example of calculating the arithmetic mean for class 11 involves finding the average of a set of numbers.
Arithmetic Mean Example
Here's an example appropriate for a class 11 level understanding:
Problem: Find the arithmetic mean of the first five prime numbers.
Solution:
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Identify the first five prime numbers: 2, 3, 5, 7, and 11.
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Apply the arithmetic mean formula:
Arithmetic Mean = (Sum of all observations) / (Total number of observations)
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Calculate the sum: 2 + 3 + 5 + 7 + 11 = 28
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Divide by the total number of observations: 28 / 5 = 5.6
Therefore, the arithmetic mean of the first five prime numbers is 5.6.
This example demonstrates a simple calculation of the arithmetic mean using prime numbers, a topic typically covered in class 11 mathematics. The concept extends to finding the average of any set of numerical data, often used in statistics and data analysis.