RRB Median and Mode

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Theory

Mean, Median and Mode are very interesting topics. From these 2-3 days questions can be asked in the exam. These are applied to the set of data or observations. These are explained below one by one in detail.

Mean - It is like an average. It is applicable to the set of data or observations where data is added with each other and divided by the number of data.

Median - It is the middlemost value of the data set when arranged in ascending order.

Mode - It is the occurrence of data or observation in maximum time.

Formula

Mean = $$\frac{\text{Sum of data}}{\text{Number of data}}$$

Median

If N is an odd number, then median = $$\frac{(N+1)}{2} ^{th}$$ term.

If N is an even number, then median = $$\frac{(\frac{N}{2})^{th} term + (\frac{N}{2}+1)^{th} term}{2}$$.

N = Number of data or observations

Solved Example

Q) Find out the means of 34, 32, 32, 28, 36, 28, 30 and 26.

Sol. Means = $$\frac{34+32+32+28+36+28+30+26}{8}$$

= $$\frac{246}{8}$$

= 30.75

Solved Example

Q) Find out the median and mode of 25, 24, 28, 24, 26, 25 and 24.

Sol. 24, 24, 24, 25, 25, 26, 28

Median = $$\frac{(N+1)}{2} ^{th}$$ term

= $$\frac{(7+1)}{2} ^{th}$$ term

= $$\frac{8}{2} ^{th}$$ term

= $$4 ^{th}$$ term

= 25

Here the mode is 24 which is repeating itself three times which is the maximum.

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