Home
Class 12
MATHS
In a series of 2n observations, half of ...

In a series of 2n observations, half of them equal to a and remaining equal to b. If the standard deviation of the observations is 2, then |a| equals :

A

`(sqrt2)/n`

B

`sqrt2`

C

2

D

1/n

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos
  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

Let a, b, c, d, e be the observations with mean m and standard deviation s. The standard deviation of the observations a + k, b + k, c + k, d + k, e + k 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 :

The A.M. of n observations is M. If the sum of n - 4 observations is a, then the mean of remaining 4 observations is :

The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the obsrervations is :

The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.

If the mean deviation about the median of the numbers : a, 2a, ………. , 50a is 50, then |a| equals :

Prove that the area of a rhombus is equal to half of the product of the diagonals.

HIMALAYA PUBLICATION-STATISTICS MEASURE OF DIPERSION-QUESTION BANK
  1. Let x(1), x(2),….., x(n) be n observations and x be their arithmetic m...

    Text Solution

    |

  2. The mean of 100 observations is 50 and their standard deviation is 5. ...

    Text Solution

    |

  3. Let a, b, c, d, e be the observations with mean m and standard deviati...

    Text Solution

    |

  4. Let x(1), x(2), ….., x(n) be n observations. Let w(i) = lx(i) + k for ...

    Text Solution

    |

  5. Let x(1), x(2), x(3), x(4), x(5) be the observations with mean m and s...

    Text Solution

    |

  6. Standard deviations for first 10 natural numbers is :

    Text Solution

    |

  7. Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to e...

    Text Solution

    |

  8. The following information relates to a sample of size 60 : sum x^(2) =...

    Text Solution

    |

  9. Coefficients of variation of two distributions are 50 and 60, and thei...

    Text Solution

    |

  10. The standard deviation of some temperature data in overset C is 5. If...

    Text Solution

    |

  11. In an experiment with 15 observations on x, the following results were...

    Text Solution

    |

  12. In a series of 2n observations, half of them equal to a and remaining ...

    Text Solution

    |

  13. Suppose a population A has 100 observations 101, 102, …., 200 and anot...

    Text Solution

    |

  14. If the mean deviation of the numbers : 1, 1 + d, 1 + 2d, ….., 1 + 100d...

    Text Solution

    |

  15. For two data sets, each of size 5, the variances are given to be 4 and...

    Text Solution

    |

  16. The sum of the squares of deviations for 10 observations taken from th...

    Text Solution

    |

  17. The measure of dispersion is

    Text Solution

    |

  18. The S.D. of 5 scores 1, 2, 3, 4, 5 is :

    Text Solution

    |

  19. The variance of the first n natural numbers is :

    Text Solution

    |

  20. A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46,...

    Text Solution

    |