Average MCQs

The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs. 90 per day. During the first 7 days, his average wages was Rs. 87/day and the average wages during the last 7 days was Rs. 92/day. What was his wage on the 8^th day?

The arithmetic mean of the series 1, 2, 4, 8, 16, . . . . . . , 2ⁿ is -

The frequency distribution data is given below. If the average age is 17 years, the value of m is

Age (in years) :	8	20	26	29
No. of people :	3	2	m	1

The average revenues of 7 consecutive years is Rs. 83 lakhs. The average of first 4 years is Rs. 78 lakhs and that of last 4 years is Rs. 90 lakhs, find the revenue for the 4^th year.

If the average of s number is r⁴ and the average of r numbers is s⁴, then find the average of all r + s numbers?

There are 4 consecutive odd numbers (x₁, x₂, x₃ and x₄) and three consecutive even numbers (y₁, y₂ and y₃). The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x₁, x₂, x₃ and x₄?

The average of n numbers x₁, x₂.....x_n is $$\overline x $$ .Then the value of $$\sum\limits_{i\, = \,1}^n {} \left( {{x_i} - \overline x } \right)$$   is equal to -

If the mean of a, b, c, is M and ab + bc + ca = 0, then the mean of a², b², c² is -

The average of X₁, X₂ and X₃ is 14. Twice the sum of X₂ and X₃ is 30. What is the value of X₁?