What is Mean, Median, Mode (Central Tendency)?

What is Mean?

Mean is known as average, which represents middle point in data. We can say that mean is most common value in the data.

Example:

Age of 3 students are, 12, 15, 18. Average age of those 3 students is 15

Calculation of Mean:

Mean = (Σxᵢ) / n

That is sum of all the data over the number of data, here sum of all ages are 12+15+18=45, now lets divide sum over number of data points ie, 45/3=15. So 15 is average

Note: Mean is sensitive to outliers (extreme data values)

What is Mode?

Mode is the most frequent value/most occured value in a dataset, used in imputation process of categorical values

Example: data is having value 1,2,2,3,3,3,4,4,4,4. The Mode is 4

Note: If 2 values repeats most, then we call it bi-modal. If 3 or more most repeated values, then there is no mode in the data

What is Median?

Median represents “middle” value in a dataset when the data is ordered from smallest to largest (ascending order). Usually used to find out skewness of data

Example: data is having values 4, 7, 2, 8, 5. The Median is 5

Calculation of Mode:

Data = 4, 7, 2, 8, 5.

Data is sorted in ascending order is 2, 4, 5, 7, 8, in which middle value is 5

Why we need Mean Median and Mode(central tendency)?

We use this when we need central tendency to summarize the data and this help users to understand how data is distributed

Venu Kumar M
Venu Kumar M