In a moderately skewed distribution, ratio of mean and median is 4 : 5. What is the ratio of mean and mode?
Correct Answer : a ) 3 : 4Explanation :
The empirical relationship between Mean, mode and median for a moderately skewed distribution is given as
Mean – Mode = 3 (Mean – Median)
According to the question,
Ration of mean and median = 4 : 5
Let us assume mean = 4x and median = 5x
⇒ 4x – Mode = 3 (4x – 5x)
⇒ Mode = 4x + 3x = 7x
Therefore, ratio between mean and mode will be 4x : 7x = 4 : 7
Hence, (d) 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.