Home
Class 11
MATHS
If each of the observations x1, x2, .......

If each of the observations `x_1, x_2, ....x_n` is increased by an amount ‘a’, where ‘a’ is a negative or positive number, show that the variance remains unchanged.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Show that the function x+1/x, x ge 1 is increasing.

The mean of n observations x_1,x_2,…………..x_n is barx . If (p+q) is added to each observations then prove that the mean of the new set of observations is barx+(p+q) .

Find the value of cos(tan^-1sqrtx+cot^-1sqrtx) , where x is a non negative real number.

Given that bar x is the mean and sigma^2 is the variance of n observations x_1, x_2, ... x_n . Prove that the mean and variance of the observations ax_1, ax_2, ... ,ax_n , are a bar x and a^2 sigma^2 respectively (a ne 0) .

Given that bar x is the mean and sigma^2 is the variance of n observations x_1 , x_2 ,.... x_n . Prove that the mean and variance of the observations ax_1, ax_2, ax_3 ,......, ax_n are a bar x and a^2 sigma^2 , respectively, (a ne 0) .

Prove that the function f(x) = x^n , is continuous at x=n , where n is a positive integer.

Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0,"where "a,b,c in R and n is an even positive number, is

MODERN PUBLICATION-STATISTICS-EXERCISE
  1. From the data given below, state which group is more variable :

    Text Solution

    |

  2. In a study to test the effectiveness of new variety of seeds, an exper...

    Text Solution

    |

  3. The weights of a group of children at 6 month are given below: Find...

    Text Solution

    |

  4. In the study of 79 diabetic patients, the following data are obtained....

    Text Solution

    |

  5. Two plants A and B of a factory show following results about the numbe...

    Text Solution

    |

  6. The following values are calculated in respect of heights and weights ...

    Text Solution

    |

  7. The sum and sum of squares corresponding to length x (in cm) and weigh...

    Text Solution

    |

  8. From the data given below, state which group is more variable, A or B ...

    Text Solution

    |

  9. From the prices of shares X and Y below, find out which is more stable...

    Text Solution

    |

  10. The following is the record of goals scored by team A in a football se...

    Text Solution

    |

  11. The mean of first 11 terms of Fibonacci sequence : 1,1,2, 3, 5, 8, 13,...

    Text Solution

    |

  12. If each of the observations x1, x2, ....xn is increased by an amount ‘...

    Text Solution

    |

  13. Find the mean and standard deviation for the following data :

    Text Solution

    |

  14. Find the average earnings (using step-deviation method) and the standa...

    Text Solution

    |

  15. The yields of wheat for 50 experimental fields are given below. Find t...

    Text Solution

    |

  16. The mean and standard deviation of marks obtained by 50 students of a ...

    Text Solution

    |

  17. From a frequency distribution consisting of 18 observations, the mean ...

    Text Solution

    |

  18. The mean and standard deviation of 20 observations are found to be 10 ...

    Text Solution

    |

  19. The mean and standard deviation of 20 observations are found to be 10 ...

    Text Solution

    |

  20. The mean and standard deviation of a group of 100 observations were fo...

    Text Solution

    |