Measures of Cen...

The arithmetic mean of first ten natural numbers is

In order to make the computation of the arithmetic mean of a set of $$50$$ numbers simpler each observation is subtracted from $$53$$ and the arithmetic mean of the set of differences is found to be $$-3.5$$. The arithmetic mean of the set of given numbers is

In a class of $$19$$ students, seven boys failed in a test. Those who passed scored $$12,15,17,15,16,15,19, 19, 17, 18, 18$$ and $$19$$ marks. The median score of the $$19$$ students in the class is

The average income of a group of persons is $$\displaystyle \bar{x}$$ and that of another group is $$\displaystyle \bar{y}.$$ If the number of persons of both group are in the ratio 4 : 3, then average income of combined group is

If in a data, $$10$$ numbers arranged in increasing order. If the $$7$$th entry is increased by $$4,$$ then the median increases by

Using empirical formula, calculate the mode for the following data:
$$17$$, $$16$$, $$25$$, $$23$$, $$22$$, $$23$$, $$28$$, $$25$$, $$25$$, $$23$$

If the mean of following frequency distribution is $$188$$ find the missing frequencies $$\displaystyle f_{1}\: and\: f_{2}$$

Consider the table given below

A distribution consists of three components with frequencies $$45, 40$$ and $$15$$ having their means $$2, 2.5, 2$$ respectively. The mean of the combined distribution is