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MEAN

Mean

Definition Of Mean

Mean of a set of numbers is the sum of the numbers divided by the number of items in the list. Mean of a set of n numbers a 1, a 2, a 3, ..., an is given by  Example on   Mean

More About Mean

Mean can also be called as average or arithmetic mean.

Examples of Mean

In order to find the mean of 4, 5, 6, 3, and 7, first we have to add the numbers and then divide the sum by the number of items. 
4 + 5 + 6 + 3 + 7 = 25 i.e. the sum of the numbers is 25.
Mean =  Example on   Mean =  Example on   Mean =  Example on   Mean = 5
So, the mean of the data set 4, 5, 6, 3, and 7 is 5.

Video Examples: Basic Math : How to Work Out the Mean in Math

Solved Example on Mean

Ques: Find the mean weight of the data set shown. 5 lb, 48 lb, 31 lb, 31 lb, 41 lb, 20 lb, 19 lb, 5 lb

Choices:

A. 27 lb
B. 25 lb
C. 26 lb
D. 24 lb
Correct Answer: B

Solution:

Step 1: Mean weight =  Example on   Mean 
Step 2: Sum of the weights = 5 + 48 + 31 + 31 + 41 + 20 + 19 + 5
Step 3: = 200 lb [Add the weights.]
Step 4: Number of weights listed = 8
Step 5: Mean weight =  Example on   Mean = 25 lb [Substitute and simplify.]
Step 6: So, the mean weight of the data set is 25 lb.

Quick Summary

  • Mean is also known as average or arithmetic mean.
  • To find the mean, add all numbers in the data set.
  • Then, divide the sum by the total count of numbers.
\[ \bar{x} = \frac{\sum_{i=1}^{n} x_i}{n} \]

🍎 Teacher Insights

Use real-world examples to illustrate the concept of mean, such as calculating the average test score or the average height of students.

🎓 Prerequisites

  • Addition
  • Division

Check Your Knowledge

Q1: What is the mean of the following numbers: 2, 4, 6, 8, 10?

Frequently Asked Questions

Q: What is the difference between mean, median, and mode?
A: Mean is the average, median is the middle value, and mode is the most frequent value.

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