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Find the mean 22, 24, 26, 28, 30, 32, 34, 36?

Last updated date: 19th Jul 2024
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Hint: Here in this question, we have to find the mean of the given numbers. To solve this First, write the given number between the addition sign, which means we are adding all the 8 numbers and then we are going to divide the summation by 8. Hence, we can get the required solution for the given question.

Complete step by step solution:
The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it: add up all the numbers, then divide by how many numbers there are.
Consider the given numbers,
22, 24, 26, 28, 30, 32, 34, 36
Here, the given set of numbers is the even number between 20 to 38. We have to find the mean or average of the above set of numbers and the middle number of the given set of numbers.
The formula for the mean is given by
\[mean = \,\dfrac{{sum\,\,of\,\,all\,\,numbers}}{{no.\,\,of\,numbers}}\]
Therefore, we have
\[ \Rightarrow mean = \,\dfrac{{22 + 24 + 26 + 28 + 30 + 32 + 34 + 36}}{{08}}\]
On adding all the terms in the numerator, we have
\[ \Rightarrow mean = \,\dfrac{{232}}{{08}}\]
On dividing the number 232 by 08 we have
\[ \Rightarrow mean = \,29\]
Therefore, the mean of the given number 22, 24, 26, 28, 30, 32, 34, 36 is 29.
So, the correct answer is “29”.

Note: Student’s may not get confused between the words mean and sum because mean is totally different from the sum. In the sun we are going to add the set of numbers but in the mean we are determining the average of set of the numbers, remember to find the mean we have to use the formula i.e., \[mean = \,\dfrac{{sum\,\,of\,\,all\,\,numbers}}{{no.\,\,of\,numbers}}\].