Average Calculator

Average is a number which represents all numbers in the data set. Average and mean are the measures of central tendency in statistics. It is nothing but mean, both refers the same value. These are the easy steps to find the mean of a data sample.

• First of all, take a data set.
• Count the number of values in the data set.
• Add all the values in the data set to get the sum.
• Divide the sum by count to obtain average.

Mean of a data set is defined as the sum of all values divided by the size of data set.

mean = x_mean = (∑ⁿ_i=1 x_i) / n

Example

Question: Calculate the average of data set {42, 54, 65, 47, 59, 40, 53}?

Solution:

Given data set is {42, 54, 65, 47, 59, 40, 53}

count = 7

mean = x_mean = (∑ⁿ_i=1x_i) / n

= (42 + 54 + 65 + 47 + 59 + 40 + 53) / 7

= 360/7

= 51.42

∴ Average = 51.42, sum = 360 and count = 7

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1. What is the average definition?

The term average describes a value that must represent the data sample. It is defined as the sum of all values divided by the total number of values in the given set. Average is known as arithmetic mean.

2. Mention the differences between mean and average?

Mean is the result of addition of largest and smallest numbers in the set divided by 2. Average on the other hand is the sum of all numbers divided by total number of values. Arithmetic mean is one form of the average and there are various types of mean. Mean is used in technical & mathematical sense where as average is used in conversations in general day to day English.

3. How to use Average Calculator?

Enter data set numbers at the input and press on the calculate button to get the output as average of data values, sum and count.

4. Find mean of data set {14, 87, 566, 45}?

Mean = (14 + 87 + 566 + 45) / 4

= 712/4 = 178