Home
Class 12
MATHS
The mean and standart deviation of five ...

The mean and standart deviation of five observations `x_1,x_2,x_3,x_4,x_5` and are 10 and 3 respectively, then variance of the observation `x_1,x_2,x_3,x_4,x_5,-50` is equal to

A

582.5

B

507.5

C

586.5

D

509.5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The geometric mean of numbers observations x_1, x_2, x_3,….,x_n is

Given that bar(x) is the mean and sigma^(2) is the variance of n observation x_(1), x_(2), …x_(n). Prove that the mean and sigma^(2) is the variance of n observations ax_(1),ax_(2), ax_(3),….ax_(n) are abar(x) and a^(2)sigma^(2) , respectively, (ane0) .

The mean and standard deviation for two values x_1 and x_2 (x_1 < x_2) of a variable x are respectively 25 and 4. find x_1 and x_2 .

Mean of n observations x_(1),x_(2),.......,x_(n) is bar(x) . If an observation x_(q) ' then the new mean is

Let x_(1), x_(2), x_(3), x_(4),x_(5) be the observations with mean m and standard deviation s. The standard deviation of the observations kx_(1), kx_(2), kx_(3), kx_(4), kx_(5) is

If overlinex is the mean of a set of n observations x_1 , x_2 , x_3…..,x_n then sum_(i=1)^n(x_i-overlinex) is equal to

If y=2x+3,and variance of y is 4,then the standard deviation of x is ____

If the mean of observations x_i, x_2,……., x_n is barx , then the mean of (x_1 + a), (x_2 + a), ….., (x_n + a) is____

If y=2x+3 and variance of y is 4, then the standard deviation of x is-

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...

    Text Solution

    |

  2. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |

  3. The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...

    Text Solution

    |

  4. The outcome of each of 30 items was observed , 10 items gave an outcom...

    Text Solution

    |

  5. Contrapositive of the statement ''If two numbers are not equal, then t...

    Text Solution

    |

  6. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  7. If the sum of the deviations of 50 observations from 30 is 50, then th...

    Text Solution

    |

  8. Mean and variance of five observations are 4 and 5.2 respectively. If ...

    Text Solution

    |

  9. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

    Text Solution

    |

  10. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  11. If the system of equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  12. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

  13. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

    Text Solution

    |

  14. Using the properties of determinants, prove that following |(a-b-c,2a,...

    Text Solution

    |

  15. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  16. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  17. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  18. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  19. Let d in R and A= ((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sinthet...

    Text Solution

    |

  20. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

    Text Solution

    |