Question
n the graphical representation of a frequency distribution, if the distance between mode and mean isk times the distance between median and mean, then write the value of k.
✓
Answer
We know that
Mode = 3 median – 2 mean ….(i)
Now mode – mean = k (median – mean), ….(ii)
But mode – mean = 3 median – 2 mean [from (i)]
⇒ Mode – mean = 3 (median – mean) ….(iii)
Comparing (ii) and (iii)
k = 3
Mode = 3 median – 2 mean ….(i)
Now mode – mean = k (median – mean), ….(ii)
But mode – mean = 3 median – 2 mean [from (i)]
⇒ Mode – mean = 3 (median – mean) ….(iii)
Comparing (ii) and (iii)
k = 3
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