Mean is nothing but average value of set of numbers. Mean almost always refers to arithmetic mean.
Mean = Total of all the elements in a data set / Total number of elements in a data set
The following steps are given below:
Step 1: Find how many elements are there in a set.
Step 2: Find the sum of all the elements in a set.
Step 3: Divide the sum by total number of elements in a set.
Step 4: Final answer is the required mean.
Easy Way to Solve Mean - Examples
Example 1: Solve and find the arithmetic mean value for following data {32, 45, 59, 62, 19, 72, 21, 42, 87}
Solution:
Step 1: Find how many elements are there in a set.
There are 9 elements, so n = 9.
Step 2: Find the sum of all the elements in a set.
32 + 45 + 59 + 62 + 19 + 72 + 21 + 42 + 87 = 439
Step 3: Divide the sum by total number of elements in a set
= Sum of all the element / Total number of elements.
= 439 / 9
= 48.77
Therefore arithmetic mean of given date is 48.77
Example 2: Solve and find the arithmetic mean for following data {21, 42, 63, 74, 56, 46, 57, 68, 79}.
Solution:
Step1: Find how many elements are there in a set.
There are 9 elements, so n = 9.
Step 2: Find the sum of all the elements in a set.
21 + 42 + 63 + 74 + 56 + 46 + 57 + 68 + 79 = 506
Step 3: Divide the sum by total number of elements in a set
= Sum of all the element / Total number of elements.
= 506 / 9
= 56.22
Therefore arithmetic mean of given date is 56.22
Example 3: Calculate the arithmetic mean for following data {14, 29, 37, 43, 26, 52, 62, 71, 24}.
Solution:
Step1: Find how many elements are there in a set.
There are 9 elements, so n = 9.
Step 2: Find the sum of all the elements in a set.
14 + 29 + 37 + 43 + 26 + 52 + 62 + 71 + 24 = 358
Step 3: Divide the sum by total number of elements in a set.
= Sum of all the element / Total number of elements.
= 358 / 9
= 39.77
Therefore arithmetic mean of given date is 39.77
Example 4: Calculate the arithmetic mean for following data {31, 43, 68, 87, 85, 69, 157, 277}.
Step1: Find how many elements are there in a set.
There are 8 elements, so n = 8.
Step 2: Find the sum of all the elements in a set.
31 + 43 + 68 + 87 + 85 + 69 + 157 + 277 = 817
Step 3: Divide the sum by total number of elements in a data set.
= Sum of all the element / Total number of elements.
= 817 / 8
= 102.125
Therefore arithmetic mean of given date is 102.125
Easy Way to Solve Mean - Practice
Solve these practice problems using easy way. These practice problems are very easy to solve
Problem 1: Calculate the arithmetic mean for following data {66, 55, 97, 88, 35, 36, 74, 82}.
Answer: 66.62
Problem 2: Calculate the arithmetic mean for following data {232, 346, 445, 556, 662, 771, 774, 321}.
Answer: 513.375
