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

In a series of `2n` observations, half of them equal `a` end remaining half equal `-a.` If the S.D. of the observationsis `2,` then `|a|` equals (1) `1/n` (2) `sqrt2` (3) `2` (4) `sqrt2/n`

A

`(1)/(n)`

B

` sqrt2`

C

` 2`

D

`(sqrt2)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|9 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

Similar Questions

Explore conceptually related problems

In a series of 2n observations,half of them equal a end remaining half equal -a. If the S.D.of the observationsis 2, then |a| equals (1) (1)/(n) (2) sqrt(2)(3)2(4)(sqrt(2))/(n)

In a series of 2n observations, half of them are equal to a^(2) and the remaining half are equal to -a^(2) . If the standard deviation of the observation is 2, then |a| is equal to

Let in a series of 2n observations, half of them are equal to a and remaining half are equal to -a. Also by adding a b in each of these observation, the mean and standard deviation of a new set become 5 and 20 respectively. Then the value of a^2+b^2 is equal to :

In a series of 20 observations 10 observation each equal to k and each of the remaining half is equal to -k .If the standard deviation of the observations is 2, then write the value of k

If the observation 1, 2, 3, ……….., n occur with frequency, n,(n-1), (n-2),…..,1 respectively such that the mean of observations is (13)/(3) , then n is equal to

If tantheta+sintheta=m and tantheta-sintheta=n , then the value of m^2-n^2 is equal to (a)4 mn (b) 2sqrt(mn) (c) 4sqrt(mn) (d) 2sqrt(m//n)

Two radioactive substances X and Y originally have N_(1) and N_(2) nuclei respectively. Half life of X is half of the half life of Y. After three half lives of Y, number of nuclei of both are equal. (N_(1))/(N_(2)) The ratio N will be equal to :

MCGROW HILL PUBLICATION-STATISTICS -QUESTION FROM PREVIOUS YEARS. AIEE/ JEE MAIN PAPERS
  1. In an experiment with 15 observations of x the following results were ...

    Text Solution

    |

  2. Consider the following statements: (1) Mode can be computed from ...

    Text Solution

    |

  3. In a series of 2n observations, half of them equal a end remaining ha...

    Text Solution

    |

  4. Let x1,x2,......xn, bem n observations such that sum xi^2=400 and sum...

    Text Solution

    |

  5. If in a frequency distribution, the mean and median are 21 and 22 resp...

    Text Solution

    |

  6. Suppose a population A has 100 observations 101,102,................,2...

    Text Solution

    |

  7. The average marks of boys in a class is 52 and that of girls is 42....

    Text Solution

    |

  8. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.8...

    Text Solution

    |

  9. If the mean deviation of the numbers 1,""1""+""d ,""1""+""2d ,""..."",...

    Text Solution

    |

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

    Text Solution

    |

  11. If the mean deviation about the median of the numbers a, 2a, ....., ...

    Text Solution

    |

  12. A scientist is weighing each of 30 fishes. Their mean weight worked ou...

    Text Solution

    |

  13. All the students of a class performed poorly in Mathematics. The te...

    Text Solution

    |

  14. If the median and the range of four numbers {x,y, 2x+ y,x -y} , "wher...

    Text Solution

    |

  15. The mean of a data set consisting of 20 observations is 40. If on obse...

    Text Solution

    |

  16. The variance of first 50 even natural numbers is (1) (833)/4 (2...

    Text Solution

    |

  17. In a set of 2n distinct observation, each of the observation below the...

    Text Solution

    |

  18. Let overset (-) x and M.D. be the mean and the mean deviations about ...

    Text Solution

    |

  19. A factory is operating in two shifts, day and night with 70 and 30 wor...

    Text Solution

    |

  20. The mean of the data set comprising of 16 observations is 16. If on...

    Text Solution

    |