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The mean calculator or the average calculator helps you to get the average value of a data set. It divides the data values sum by the data values count to get the average (mean).
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You can use the mean calculator to find a data set's mean or average. It will show the sum of the data values, and the count of the data set values. You can also see the calculation steps.
You just need to type or copy and paste the data. You can copy the data from a spreadsheet or text document. But make sure to separate each number with a comma, space, or new line. The calculator accepts data with mixed delimiters also. Finally, click the "calculate" button.
One significant statistic's measure of the central tendency is the mean. The mean is computed by dividing the total of a data set's data values by the count of the data set's values. The mean is used for further statistics calculations because it is based on all values in the data set.
The mean can be computed in a variety of ways, including arithmetic mean, geometric mean, weighted average mean, and so on. In general, the mean in statistics represents the arithmetic mean of a data set.
The mean of a population is represented by the Greek letter μ (Mu). Use the below formula to find the mean of a population.
μ = Sum of the data set’s values / Total number of data values in the population
μ = X₁ + X₂ + ⋯ + Xₙ / N
μ = ΣX / N
The mean of a sample is represented by the X̄ (X Bar). Use the below formula to find the mean of a sample.
X̄ = Sum of the data set’s values / Total number of data values in the sample
X̄ = X₁ + X₂ + ⋯ + Xₙ / n
X̄ = ΣX / n
In statistics, an average is a single number that can represent an entire set of data values. So any measure of central tendency can be the average. As a result, in statistics, the average is any value that is the data set's mean, median, or mode.
However, in mathematics, the average is determined by dividing the total value of the data set by the total number of items in the data set. When there are two numbers, the sum of the two numbers divided by two is the average between the two numbers. As a result, the average in mathematics has the same meaning as the mean in statistics.
The average = The total value of the data set / The total count of the data set
Let’s learn how to find the average of numbers using the below examples.
You've compiled the latest three-match scores of your college cricket team's top six players. Average these numbers and find the best 3 players with the best average scores.
|Player||Match 1||Match 2||Match 3|
You have to average 3 numbers (Scores). To do that get the total of the 3 numbers and divide it by 3 which is the count.
Smith's average score = The total Smith's score / Total number of matches = (The 1st match score + The 2nd match score + The 3rd match score) / Total number of matches
Smith's average score = (25 + 30 + 55) / 3 = 110 / 3 = 36.7
Roy's average score = The total Roy's score / Total number of matches = (The 1st match score + The 2nd match score + The 3rd match score) / Total number of matches
Roy's average score = (15 + 58 + 20) / 3 = 93 / 3 = 31
Jack has played only 2 matches. Therefore, the average between two numbers of the scores of the 2nd and 3rd match should be taken as Jack’s average score.
Jack's average score = The total Jack's score / Total number of matches = (The 2nd match score + The 3rd match score) / Total number of matches
Jack's average score = (25 + 46) / 2 = 71 / 2 = 35.5
George's average score = The total George's score / Total number of matches = (The 1st match score + The 2nd match score + The 3rd match score) / Total number of matches
George's average score = (30 + 31 + 38) / 3 = 99 / 3 = 33
Milton's average score = The total Milton's score / Total number of matches = (The 1st match score + The 2nd match score + The 3rd match score) / Total number of matches
Milton's average score = (65 + 17 + 29) / 3 = 111 / 3 = 37
Daniel's average score = The total Daniel's score / Total number of matches = (The 1st match score + The 2nd match score + The 3rd match score) / Total number of matches
Daniel's average score = (55 + 32 + 18) / 3 = 105 / 3 = 35
So, you can create a summary table like this.
The top 3 players are Milton, Smith, and Jack, according to the above table.
Using the mean/average calculator, you can easily get the average score for each player by simply copying each line in the table. Following that, you can quickly create the final average score summary table.
The data set below shows the average semester scores for students enrolled in the MBA Finance (Special) program. A special award will be given to the student with the highest overall average score at convocation. Who will win this award?
|Student||Semester 1||Semester 2||Semester 3||Semester 4||Average|
|Susan||66||71||60||47||(66 + 71 + 60 + 47) / 4|
|Richard||58||73||50||47||(58 + 73 + 50 + 47) / 4|
|Thomas||Exempt||82||47||82||(82 + 47 + 82) / 3|
|Charles||67||47||66||66||(67 + 47 + 66 + 66) / 4|
|Jessica||47||83||52||61||(47 + 83 + 52 + 61) / 4|
|Karen||63||56||65||62||(63 + 56 + 65 + 62) / 4|
|Lisa||64||63||62||85||(64 + 63 + 62 + 85) / 4|
|Ronald||68||66||69||81||(68 + 66 + 69 + 81) / 4|
|Jacob||Exempt||64||66||77||(64 + 66 + 77) / 3|
|Rebecca||70||84||62||51||(70 + 84 + 62 + 51) / 4|
Now you can create a summary table like below.
|Student||Overall average score||Rank|
As per the above table, Ronald has the overall highest average score. Therefore, Ronald will win the special award at the convocation.
For the example above, you can use the mean calculator. The overall average score for each student can be easily found by merely copying each line of the table. As a result, you do not need to calculate the total score and the total number of semesters separately for each student. You will quickly get the average score for each student, and you can quickly build the overall average score summary table.