Mean, Median and Mode Calculator

The statistics calculator an online tool which helps you to calculate the mean, median and mode for the given input of number series.

Mean

To calculate the arithmetic mean of a set of data we must first add up (sum) all of the data values (x) and then divide the result by the number of values (n).
Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean
x = [∑ x] ÷ n

Median

The median value of a set of data is the middle value of the ordered data. That is, the data must be put in numerical order first.

Mode

The modal value of a set of data is the most frequently occurring value.

Example,

a. Find the mean of: 6, 8, 11, 5, 2, 9, 7, 8
Ans: (6 + 8 + 11 + 5 + 2 + 9 + 7 + 8) ÷ 8) = 56 ÷ 8 = 7.

b. Find the median of the following numbers:
i. 11, 4, 9, 7, 10, 5, 6
Ordering the data gives 4, 5, 6, 7 , 9, 10, 11 and the middle value is 7.

ii, 3, 0.5, 0.6, 2, 2.5, 3.1, 2.9
Ordering the data gives 0.5, 0.6, 1, 2, 2.5 2.9, 3, 3.1
Here there is a middle pair 2 and 2.5. The median is between these 2 values
the mean of them [(2 + 2.5) ÷ 2] = 2.25.

Find the mode for: 2, 6, 3, 9, 5, 6, 2, 6
It can be seen that the most frequently occurring value is 6. (There are 3 of these).