Calculate the average of a group of numbers (2024)

Calculate the average of a group of numbers

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Let's say you want to find the average number of days to complete a tasks by different employees. Or, you want to calculate the average temperature on a particular day over a 10-year time span. There are several ways to calculate the average of a group of numbers.

The AVERAGE function measures central tendency, which is the location of the center of a group of numbers in a statistical distribution. The three most common measures of central tendency are:

  • Average This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

  • Median The middle number of a group of numbers. Half the numbers have values that are greater than the median, and half the numbers have values that are less than the median. For example, the median of 2, 3, 3, 5, 7, and 10 is 4.

  • ModeThe most frequently occurring number in a group of numbers. For example, the mode of 2, 3, 3, 5, 7, and 10 is 3.

For a symmetrical distribution of a group of numbers, these three measures of central tendency are all the same. In a skewed distribution of a group of numbers, they can be different.

Do the following:

  1. Click a cell below, or to the right, of the numbers for which you want to find the average.

  2. On the Home tab, in the Editing group, click the arrow next to Calculate the average of a group of numbers (1)AutoSum , click Average, and then press Enter.

To do this task, use the AVERAGE function. Copy the table below to a blank worksheet.

Formula

Description (Result)

=AVERAGE(A2:A7)

Averages all of numbers in list above (9.5)

=AVERAGE(A2:A4,A7)

Averages the top three and the last number in the list (7.5)

=AVERAGEIF(A2:A7, "<>0")

Averages the numbers in the list except those that contain zero, such as cell A6 (11.4)

To do this task, use the SUMPRODUCT and SUM functions. vThis example calculates the average price paid for a unit across three purchases, where each purchase is for a different number of units at a different price per unit.

Copy the table below to a blank worksheet.

A

B

Price per unit

Number of units

20

500

25

750

35

200

Formula

Description (Result)

=SUMPRODUCT(A2:A4,B2:B4)/SUM(B2:B4)

Divides the total cost of all three orders by the total number of units ordered (24.66)

To do this task, use the AVERAGE and IF functions. Copy the table below, and keep in mind that this example may be easier to understand if you copy it to a blank worksheet.

Formula

Description (Result)

=AVERAGEIF(A2:A7, "<>0")

Averages the numbers in the list except those that contain zero, such as cell A6 (11.4)

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See Also

AVERAGE

AVERAGEIF

SUM

SUMPRODUCT

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Calculate the average of a group of numbers (2024)

FAQs

Calculate the average of a group of numbers? ›

If the set of 'n' number of observations is given then the average can be easily calculated by using a general average formula that is, average = {Sum of Observations} ÷ {Total number of Observations}.

How to calculate the average of a group of numbers? ›

Average This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5. Median The middle number of a group of numbers.

How do you calculate average answers? ›

How to calculate the average
  1. Determine what you want to be averaged. To calculate the average, determine what exactly you want to be averaged. ...
  2. Find the sum of the data set. ...
  3. Determine the amount of numbers in your data set. ...
  4. Divide the sum by the total of numbers in your data set.
Jul 30, 2024

How do you find the average percentage of a group of numbers? ›

The formula to calculate average percentage is [(Percentage 1 + Percentage 2) / (Sample size 1 + Sample size 2)] x 100.

What are the three ways to calculate the average? ›

There are three main types of average: mean, median and mode. Each of these techniques works slightly differently and often results in slightly different typical values. The mean is the most commonly used average. To get the mean value, you add up all the values and divide this total by the number of values.

What is the method of group averages? ›

By the method of Group Averages our endeavour is to take two groups of points and to draw the mean ordinates for each group, The lino joining the tops of the two ordinates will be our fitted line. Evidently the stability of this line depends on two opposing tendencies.

How do you calculate a group? ›

2. If the element is in the p block, then the number of the group can be determined by the formula: (number of valence electrons + 10). 3. If the element is in the d block, then the number of the group can be determined by the formula: [number of electrons in (n-1) d subshell] + (number of electrons in (n) s subshell).

How do you calculate average easy? ›

Let's get mathematical. To calculate the average of anything, all you have to do is add up all of the numbers that you are including in your calculation. Then, you divide them by how many numbers there are.

What are the steps to find the average of numbers? ›

To work out an average, you need to add up all of the numbers in the set. Then, you divide the total sum by the numbers of numbers. For example, for the set of numbers 3, 4, 8, you add them together and get 15. Then, you divide by 3, and get 5.

What is the answer to the average of numbers? ›

To calculate the average, you need to sum up all the values in a list and then divide by the total number of values. The formula for average is Average = Sum of Values/ Number of values. Example: For instance, if you have a list of ages {25, 30, 35, 40}, to find the average age: (25 + 30 + 35 + 40) / 4 = 32.5.

What is the average group of numbers called? ›

The mean of a set of numbers in a data set is obtained by adding up all the numbers then dividing by the size of the data set. When people use the word 'average' in everyday conversation, they are usually referring to the mean.

What is the formula for the average of grouped data? ›

To calculate the mean of grouped data, the first step is to determine the midpoint of each interval or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.

What is the ordinary average of a group of numbers? ›

The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean average of the numbers 2, 3, 4, 7, and 9 (summing to 25) is 5.

What is the formula to calculate average? ›

Average = Sum of Values/Number of Values

In this article, we are going to learn the definition of average, symbol, average formula in Maths, and steps to calculate the average, and many solved examples in detail.

What is the formula for the average method? ›

Average cost method definition

Also referred to as the weighted average cost method, the average-cost method is an accounting formula used when calculating inventory value. This figure is reached by dividing the total cost of goods by the total number of goods over a specific accounting cycle.

Why do we calculate average? ›

Averages are used to compare differing quantities of the same category. For example, to compute the per-employee salary of an organization, averages have to be used because there are differences in the salaries of several employees.

How to work out the average of multiple numbers? ›

The average is the middle value of the numbers. If you need to find the average of a set of numbers, you add them all together and divide by the amount of numbers. You can do this with any set of numbers, no matter how far apart the values of the numbers are. That's the beauty of finding the average!

How do you find the average of each set of numbers? ›

How to calculate average. The average of a set of numbers is simply the sum of the numbers divided by the total number of values in the set. For example, suppose we want an average of 24 , 55 , 17 , 87 and 100 . Simply find the sum of the numbers: 24 + 55 + 17 + 87 + 100 = 283 and divide by 5 to get 56.6 .

How to find combined average? ›

However, when you know the averages of the individual groups and the number of values in each group, you can calculate the combined average using the formula: Combined Average = ( Average of Group 1 × Number of values in Group 1 ) + ( Average of Group 2 × Number of values in Group 2 ) +

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