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

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

A

2

B

`sqrt(2)`

C

`(1)/(n)`

D

`sqrt((2)/(n))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise EXSERCISE|34 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

Similar Questions

Explore conceptually related problems

Standard deviation of the first 2n+1 natural numbers is equal to

If a = 1 + i , then a^(2) equals

Focal length is equal to half of the

If the mean of 100 observations is 50 and their standard deviations is 5,than the sum of all squares of all the observations is

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

The mean and standard deviation of 15 observations are found to be 10 and 5 respectively. On reachecking it was found that one of the observation with value 8 was incorrect. Calculate the correct mean and standard deviation if the correct observation value was 23 ?

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 the standard deviation of the numbers -1, 0, 1, k is sqrt(5) " where " k gt 0 is equal to

Let a, b, c, d, e, be the observations with m and standard deviation s. The standard deviation of the observations a+k, b+k, c+k, d+k, e+k is s (b) k s (c) s+k (d) s/k

NEW JOYTHI PUBLICATION-STATISTICS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The mean of five numbers is 0 and their variance is 2. If three of tho...

    Text Solution

    |

  2. A batsman in his 16^(th) innings makes a score of 70 runs and thereby ...

    Text Solution

    |

  3. If the variance of 1,2,3,4,5,….., x is 10, then the value of x is

    Text Solution

    |

  4. Mean of 10 observations is 50 and their standard deviation is 10 If e...

    Text Solution

    |

  5. If sum(i=1)^(9)(x(i)-5)=9andsum(i=1)^(9)(x(i)-5)^(2)=45, then the sta...

    Text Solution

    |

  6. The standard deviation of 9,16,23,30,37,44,51 is

    Text Solution

    |

  7. In a class of 100 students there are 70 boys whose average marks in a ...

    Text Solution

    |

  8. In an experiment with 15 observation on x, the following results were...

    Text Solution

    |

  9. The median of a set of a set of 9 distinct observations is 20.5 . If e...

    Text Solution

    |

  10. Consider the following statements. (i) Mode can be computed from hi...

    Text Solution

    |

  11. In a series of 2n observations , half of them equal a and remaining ha...

    Text Solution

    |

  12. In a frequency distribution , the mean and median are 21 and 22 respec...

    Text Solution

    |

  13. Let x(1),x(2),…..x(n) be n observations such that sumx(i)^(2)=400andsu...

    Text Solution

    |

  14. Suppose a population A has 100 observations 101,102,….,200, and anothe...

    Text Solution

    |

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

    Text Solution

    |

  16. The mean of the numbers a,b,8,5,10 is 6 and the variance is 6.80 .Then...

    Text Solution

    |

  17. If the mean deviation of number 1,1+d, 1+2d,…., 1+100d from their mean...

    Text Solution

    |

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

    Text Solution

    |

  19. If the mean deviation about the median of the numbers a, 2a,……., 50a i...

    Text Solution

    |

  20. Let x(1),x(2),…..x(n) be n observations such that sumx(i)^(2)=400andsu...

    Text Solution

    |