For a frequency distribution of a variable x, mean = 32, median = 30. The distribution is :
Let x be a random variable with probability mass function
ƒ(x) = k, |x|, if x = -2, 1, 3
=0, otherwise
where, K is a constant. Then the variance of x is :
If L(p) and L(q) represent Laspeyres' index number for prices and quantities and P(p) and P(q) represents Paasche's index number for price and quantities then :
Initially there are 9 workers, all being paid a uniform wage. Later a 10th worker is added whose wage rate is Rs 20 less than for the others. The average wage gets :
Event S and T are independent with P(S) < P(T), P(S ∩ T) = 6/25 and P(S|T) + P(T|S) = 1. Then P(S) is
The formula for calculating an index number should be such that it gives the same ratio between one point of comparison and the other, no matter which of the two is taken as the base or putting it another way, the index number reckoned forward should be reciprocal of the one reckoned backwards' which test of consistency of index number is this ?