Home
Class 14
MATHS
If the arithmetic mean of the numbers x1...

If the arithmetic mean of the numbers `x_1 , x_2, x_3,……., x_n` is `barx`, then the arithmetic mean of the numbers `ax_1 + b, ax_2 + b, ax_3 + b, ……, ax_n + b`, where a and b are two constants, would be:

A

`overlinex`

B

`naoverlinex + nb`

C

`aoverlinex`

D

`aoverlinex + b`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If the arithmetic mean of the numbers x_(1),x_(2),x_(3),...,x_(n) is bar(x), then the arithmetic mean of the numbers ax_(1)+b,ax_(2)+b,ax_(3)+b,...,ax_(n)+b where a,b are two constants,would be

If sigma^2 is the variance of n observations x_1,x_2 ,…., x_n ,prove that the variance of n observations ax_1,ax_2 ,…, ax_n is a^2sigma^2 , where a ne 0

Given that barx is the mean and sigma^2 is the variance of n observations x_1,x_2 ,…., x_n . Prove that the mean and variance of the observations ax_1,ax_2 , .., ax_n , are abarx and a^2sigma^2 respectively (a ne 0) .

Let f(x) =ax^(2) -b|x| , where a and b are constants. Then at x = 0, f (x) is

If x is the mean of x_1, x_2, ..... ,x_n , then for a ne0 , the mean of ax_1, ax_2, .... ,ax_n,(x_1)/a,(x_2)/a,....,(x_n)/a is

If lim_(x to 0) (1+ax)^(b//x)=e^4 , where a and b are natural numbers then

Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x) has

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The 3rd and 6th term of an arithmetic progression are 4 and 9, respect...

    Text Solution

    |

  2. If the 9th and 19th terms of a G.P. are 12 and 18, what is the G.M. of...

    Text Solution

    |

  3. If the arithmetic mean of the numbers x1 , x2, x3,……., xn is barx, the...

    Text Solution

    |

  4. Which one of the following numbers belongs to the given series 18, 26,...

    Text Solution

    |

  5. When the natural numbers 1,2,3,……., 500 are written, then the digit 3 ...

    Text Solution

    |

  6. In how many ways can 1146600 be written as the product of two factors?

    Text Solution

    |

  7. How many natural numbers upto 990 are divisible by 5 & 9 both, but not...

    Text Solution

    |

  8. The number of solution of |x| + |y| le 0, for (x , y) in R, is :

    Text Solution

    |

  9. The remiander when 2^39 is divided by 39 is:

    Text Solution

    |

  10. The unit digit of the following expression (1!)^99 + (2!)^98 + … (99!)...

    Text Solution

    |

  11. The sum of all four digit numbers which are divisible by 7 is:

    Text Solution

    |

  12. When the numerator of a positive fraction is incresed by 2 and the den...

    Text Solution

    |

  13. In the given expression pq = p - q + 9, q is a fraction and p is any p...

    Text Solution

    |

  14. The digit of a three digit numder are in G.P.When the digit of this nu...

    Text Solution

    |

  15. How many even integers n, 13 le n le 313 are of the from 3k + 4, where...

    Text Solution

    |

  16. How many even integers n, 13 le n le 313 are of the from 3k + 4, where...

    Text Solution

    |

  17. if a and b are two odd distinct prime numbers and if a > b then a^2 -...

    Text Solution

    |

  18. If P = (101)^(100) and Q = (100)^(101), then the correct relation is:

    Text Solution

    |

  19. If k^2 - 25 is an odd integer then which one of the following values g...

    Text Solution

    |

  20. (a + 1)(b-1) = 625, (a != b) in I^(+) then the value of (a +b) is

    Text Solution

    |