Average Value And Calculation - Steps, Formula, Value - Cuemath

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Average value is used to represent numbers in the given data set. It is a numeric value that can be used to show a large amount of data. It helps represent the middle value of the numbers in the given data set. In this lesson, we will learn to determine the value of the average for the given data. Stay tuned to learn more!!!

1.	Average Value
2.	Average Value Calculations
3.	Solved Examples on Average Value and Calculations
4.	Practice Questions on Average Value and Calculations
5.	FAQs on Average Value and Calculations

Average Value

The average value can be found by dividing the sum of all observations in a given data set by the total number of observations. It is found using the formula:  This formula is common in every situation when we calculate the average value. For example, finding the average number of students in a school, the average amount of money an individual earns in a town and average temperature of any location. Representing the average values of such quantities makes it possible to represent them as a single value.

Average Value Calculations

The steps to determine the average value are:

• Find the sum of all the observations in the given data set.
• Check the number of observations. 
• Determine the average value by using the formula: average = sum/count

Let us see an example to understand better.  There are 5 children having heights, 150 cms, 160 cms, 172 cms, 180 cms, and 165 cms. The average height of children is given by using the formula, Average = Sum of all observations/Total number of observations.

• Sum of heights of children = (150 + 160 + 172 + 180 + 165) cms = 827 cms
• Number of children = 5
• Thus, the average height of children = 827cms/5 = 165.4 cms which are approximately equal to 165 cms.

Topics Related to Average Value and Calculations

• Average
• Average Formula
• Average Calculator
• Weighted Average
• How to Find the Average of a Set of Numbers

Important Topics   Mean  

Solved Examples on Average Value and Calculation

 

1. Example 1: The average weight of 6 boys is 55 kgs. The weight of 5 boys is, 53 kgs, 55 kgs, 57 kgs, 52 kgs and 54 kgs. What is the weight of sixth boy? 

   Solution: Average weight = 55 kgs Let the weight of sixth boy is x kgs. Average weight = Sum of all weights/total number of boys = (53 + 55 + 57 + 52 + 54 + x)/6 = 55 \(\implies\) (271 + x) = 330 \(\implies\) x = 330 - 271 = 59 kgs \(\therefore\) The weight of the sixth boy is 59 kgs.

2. Example 2: If the average of 7 numbers is 20. If one number is excluded, the average is reduced by 10. Find the excluded number.

   Solution: Average of 7 numbers = 20 Average = Sum/count Sum of 7 numbers = 20 × 7 = 140  Let y be the number excluded. Then average = sum/count = (140-y)/6 10 = (140 -y)/6 ⇒ 140 - y = 60  y = 140 - 60 =80 \(\therefore\) The excluded number is 80.

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Practice Questions on Average Value and Calculation

 

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FAQs on Average Value and Calculations

How Do You Calculate Average Value?

The steps to determine average value by using the following steps:

• Find the sum of all the observations in the given data set.
• Check the number of observations. 
• Determine the average value by using the formula(average = sum / count)

What is the Average Value of the Data?

The average value of the data is found by taking the ratio of the sum of all observations in a given data set to the total number of observations.

Why is Average Used?

The average value is a number that can be used to represent a set of given data.

What is Average in Math?

Average is the middle value which can be calculated by finding the ratio of the sum of all values to the total number of values.

What is the Formula to Calculate Average Percentage?

The average percentage can be calculated by multiplying the obtained average by 100 and inserting the percentage symbol in the end.

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