Question

Xx WHAT IS THE RELATION BETWEEN MEAN,MEDIAN AND MODE? Xx

Answer 1

Answer:

Normal distribution: The mean, the median, and the mode are each seven for these data. In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median.

An empirical relationship exists between mean, median and mode. For a moderately skewed distribution it is: If a frequency distribution has a symmetrical frequency curve, the mean, median and mode are equal

Step-by-step explanation:

Answer 2

The relation between Mean, Median and Mode is stated below :

Mean - Mode = 3 ( Mean - Median )

An empirical relationship between Mean, median and mode was stated by Professor Karl Pearson. So, the empirical relationship or interrelationship between the measure of central tendency is given below ;

Mean - Mode = 3 ( Mean - Median )

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What is Mean?

The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.

Mean = $\bf \frac{Sum \: of \: observations }{Number \: of \: observations }$

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What is Median?

After arranging the given data in the ascending or descending order of magnitude, the value of the middle most observation, is called the median of the data.

Formula to find the median :)

Method : Arrange the data in increasing or decreasing order of magnitude. Let the total number of observation be n.

(i) If n is odd, then median

⇒ Value of $\mathsf{( \frac{n + 1}{2} )\th}$ observation.

(ii) If n is even, then median

⇒ mean of $\mathsf{( \frac{n}{2} )\th}$ and $\mathsf{( \frac{n}{2} + 1 )\th}$ observations.

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Mode - The most frequently occurring digit in the data, is called mode of the data.