Tag: means

Questions Related to means

The average age of 36 student in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years?

  1. 31

  2. 36

  3. 51

  4. Cannot be determined

  5. None of these


Correct Option: A

The sum of first $n$ natural numbers is given by the expression $(2n^{2}+3n)$. The mean of the given numbers is 

  1. $\left(\dfrac{2}{n}+3\right)$

  2. $\left(2+\dfrac{3}{n}\right)$

  3. $(2+3n)$

  4. $(2n+3)$


Correct Option: A

The average weight of 45 students in a class is 25 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

  1. $52\frac{1}{3}$

  2. $52\frac{1}{2}$

  3. $52\frac{2}{3}$

  4. None of these


Correct Option: A

If n A.M.'s are inserted between 3 and 17 such that the ratio of the last mean to the first mean is 3:1, then the value of n is

  1. 4

  2. 6

  3. 8

  4. 9


Correct Option: A

Four numbers are in proportion. The sum of the square of the four numbers is $50$ and the sum of the means is $5$. The ratio of first two terms is $1 : 3$. What is the average of the four numbers ?

  1. $2$

  2. $3$

  3. $5$

  4. $6$


Correct Option: A

Average of first ten prime numbers is :

  1. 12.6

  2. 12.9

  3. 13.9

  4. 14.9


Correct Option: A

A line is such that the algebraic sum of the perpendicular on it from a number of point is zero. The line always passes through a fixed point that is 

  1. A. M of the given points

  2. GM of the given points

  3. HM of the given points

  4. None of these


Correct Option: A

Coefficient of variance of a distribution is 60% and the standard deviation is 25. The arithmetic mean of the distribution is

  1. $\cfrac {25}{3}$

  2. 35

  3. $\cfrac {125}{3}$

  4. $\cfrac {25}{6}$


Correct Option: A

If the arithmetic mean of the numbers $x _{1}, x _{2}, x _{3}.......,x _{3}$ is $\overline{X}$, then the arithmetic mean of numbers $ax _{1}+b, ax _{2}+b, ax _{3}+b,........, ax _{n}+b$, where  $a, b$ are two constants would be 

  1. $\overline{X}$

  2. $na\overline{X}+nb$

  3. $a\overline{X}$

  4. $a\overline{X}+b$


Correct Option: A

The average score of a cricketer for 10 matches is 42, find the average for last four matches :

  1. $34\frac { 1 }{ 4 } $

  2. 35

  3. $36\frac { 1 }{ 4 } $

  4. $35\frac { 1 }{ 4 } $


Correct Option: A