Ratio of Mean, Median and Mode in Statistics

Question of The Day08-02-2021

In a moderately skewed distribution, the ratio of median and mode is 3 : 7. What will be the ratio of mean and mode?

Answer

Correct Answer : c ) 1 : 7

Explanation :

The empirical relationship between Mean, mode and median is given as

Mean – Mode = 3 (Mean – Median)………….(1)

According to the question, ratio of median and mode is 3 : 7

Let us assume median be 3x and mode be 7x

Thus, putting the value in equation (1)

⇒ Mean – 7x = 3 (Mean – 3x)

⇒ 3 Mean – Mean = 9x – 7x

⇒ Mean = x

Now, ratio between mean and mode will be x : 7x = 1 : 7

Hence, (c) is the correct answer.

Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS, UPSC NDA etc.

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