![]() Thirty years ago calculators promised immense opportunity – opportunity, alas, that brought considerable controversy. So does this ubiquitous access to calculators affect our ability to do maths in our heads like we used to? Today, we can include computers and smartphones – which are attached to our hip 24/7. Further, arithmetic mean is used in cases where geometric mean or harmonic means are less useful, such as average grade, weight, etc.Since the 1980s we have had access to calculators of various types. It is also used as a measure to represent the average value across the entire data series. ![]() In fact, it allows evaluating which of the variables are better or lower than the average of the group. But it is still very important as it is often used as a statistical indicator to assess the average outcome in a data set. The concept of arithmetic mean is very simple and elementary. However, in case of weighted average, the formula for the arithmetic mean can be derived by summing up the products of each variable and its frequency and then the result is divided by the sum of the frequencies as shown below.Īrithmetic Mean = ∑ f i * x i / f i Relevance and Uses of Arithmetic Mean Formula Step 3: Finally, the formula for the arithmetic mean for equally weighted variables can be derived by adding all the variables and then the result is divided by the number of variables in the data set as shown below. Otherwise, figure out the frequency of each variable and they are denoted by f i and the number of variables is the summation of the frequencies. Step 2: Next, determine the number of variables in the data set and it is denoted by n in case of equally weighted variables. Step 1: Firstly, collect and sort out the variables for which the arithmetic mean has to be calculated. The formula for arithmetic mean can be calculated by using the following steps: Therefore, the arithmetic means of the combined data set is 43.76. Determine the arithmetic mean of the two data sets combined.Īrithmetic Means of the combined data set is calculated using the formula given belowĪrithmetic Mean = ((m 1*n 1) + (m 2*n 2)) / (n 1+n 2) The first data set has 10 variables with a mean of 45, while the second data set has 7 variables and a mean of 42. Let us take an example of two data sets with two different arithmetic means. ![]() Therefore, the average score of the class in the science test was 5.87. Based on the following information calculate the average marks in the test. Recently, there was a weekly test conducted for science in which the students were evaluated on the scale of 1 to 10. Let us take an example of a class with 45 students. ![]() Therefore, the batsman’s average remained 41.60 runs per innings in his last 10 innings. Calculate the batsman’s average in his last 10 innings.Īrithmetic Mean is calculated using the formula given below Let us take an example of a batsman who scored the following runs in his last 10 innings during last one year: 45, 65, 7, 10, 43, 35, 25, 17, 78, 91. You can download this Arithmetic Mean Formula Excel Template here – Arithmetic Mean Formula Excel Template Arithmetic Mean Formula – Example #1
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