Home
Class 11
MATHS
Prove that if x1and x2 two values of a v...

Prove that if `x_1`and `x_2` two values of a variable x, so its standard deviation is `(1)/(2)(x_1-x_2),(x_1gtx_2)`

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE

    PATHFINDER|Exercise QUESTION BANK|217 Videos

  • STATISTICS AND MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

If standard deviation of a ravdom variable x is 2 then var(5x) is

Let x_1,x_2,x_3,…x_n be n values of a variable x. If these values are changed to x_1+a, x_2+a,…x_n+a , where a∈ R, show that the variance remains unchanged.

If s and R are respectively the standard deviation and range of set of n values of a variable x, then prove that R^2/(2n) le s^2 .

If the standard deviation z_(1),x_(2), . . .,x^(n) is 3.5, then standard deviation of -2x_(1),-3,-2x_(2),-3, . . . ,-2x_(n)-3 will be -

Suppose a variable x takes only two values x_1 and x_2 with frequencies f_1 and f_2 . If s be the s.d. of x, show that s^2 = f_1f_2 [(x_1 - x_2)/(f_1 + f_2)]^2

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 .

Prove that the standard deviation calculated from two values x_(1) and x_(2) of a vriable x is equal to half their difference.

If x_1 and x_2 be two integers such that x_(1) ne 0 , x_(2) ne 0 and -2 < x_(1) , x_(2) < 2 then find the values of (i) x_1+ x_(2) (ii) x_(1) -x_(2) (iii) x_1x_(2) (iv) x_(1)/x_(2)

A variable x takes only two values x_1 , x_2 with equal frequencies. Find the mean deviation about mean and the standard deviation.

Answer the following questions in short: If three uncorrelated variables x_1, x_2, x_3 have the same standard deviation, find the correlation coefficient between x_1 + x_2 and x_2 + x_3 .

PATHFINDER-STATISTICS-QUESTION BANK
  1. The mean and standard deviation of observations are 8 and 14 respectiv...

    Text Solution

    |

  2. Calculate the mean and standard deviation of the numbers-natural numbe...

    Text Solution

    |

  3. The scores of batsman in 10 matches were as follows : 38, 70, 48, 34, ...

    Text Solution

    |

  4. Prove that if x1and x2 two values of a variable x, so its standard dev...

    Text Solution

    |

  5. Find the mean deviation about the mean of the data : 7, 8, 4, 13, 9, 5...

    Text Solution

    |

  6. Find the mean deviation about the mean of the data : 7, 8, 4, 13, 9, 5...

    Text Solution

    |

  7. Find the SD of first 10 multiples of 3.

    Text Solution

    |

  8. The mean and variance of seven observations are 8 and 16 respectively....

    Text Solution

    |

  9. The mean and variance of seven observations are 8 and 16 respectively....

    Text Solution

    |

  10. The mean and standard deviation of 100 observations were calculated as...

    Text Solution

    |

  11. The mean and S.D. of a sample of size 10 were found to be 9.0 and 2.0 ...

    Text Solution

    |

  12. Let x1,x2,x3,…xn be n values of a variable x. If these values are chan...

    Text Solution

    |

  13. The mean of 5 observation is 4.4 and their variance is 8.24. If three ...

    Text Solution

    |

  14. Find the mean deviation about the mean of the data : 7, 8, 4, 13, 9, 5...

    Text Solution

    |

  15. Find the mean diaviation with respect to median of the frequency dist...

    Text Solution

    |

  16. Find the mean diaviation with respect to median of the frequency dist...

    Text Solution

    |

  17. Calculate the mean and standard deviation of the numbers-natural numbe...

    Text Solution

    |

  18. The mean and variance of 8 observations are 9 and 9.25 respectively. I...

    Text Solution

    |

  19. For a group of 200 candidates the mean and S.D. were found to be 40 an...

    Text Solution

    |

  20. The number of observations of two samples are 30 and 40 respectively, ...

    Text Solution

    |