#stats
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mode is clearly 160
median is 22nd term i.e 155
for mean i used mode= 3 median - 2 mean somehow this doesnt give correct mean
this is what you get by mean
while I do agree yes there's a formula for relation between mean median and mode it's not usually used when it's asked separately
you should just use the formula when they gave only 2 values of median mean and mode and ask you to find the last one
its an approximation and doesnt work everywhere
hence the term 'empirical relation'
oh there's a derivation
It gives an approximation (empirical formula) not an exact answer. Useful to discard wrong options but not good in case of NAT questions
So you gotta find mean using one of the three known methods:- Direct, Assumed Mean, or Step Deviation