Home
Class 9
MATHS
If each observation of the data is incre...

If each observation of the data is increased by 5, then their mean

A

remains the same

B

becomes 5 times the original mean

C

is decreased by 5

D

is increased by 5.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If each observation of a data is increased by 3, then what about the new man?

The mean of 100 observations is 50. If one of the observations which was 50 is replaced by 150, the resulting mean will be :

The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

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.

The mean of the ungrouped data is given by

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 of the following data is 15, find p

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) .

The mean of 5 observation is 4.4 and their variance is 8.24 . If three of the observations are 1,2 and 6, find the other two observations

MBD-STATISTICS-EXERCISE
  1. Let m be the mid-point and l be the upper class limit of a class in a ...

    Text Solution

    |

  2. The class marks of a frequency distribution are given as follows : 15,...

    Text Solution

    |

  3. In the class intervals 10-20, 20-30, the number 20 is included in.

    Text Solution

    |

  4. A grouped frequency table with class intervals of equal sizes using 25...

    Text Solution

    |

  5. A grouped frequency distribution table with classes of equal sizes usi...

    Text Solution

    |

  6. To draw a histogram to represent the following frequency ditribution :...

    Text Solution

    |

  7. The mean of five numbers is 30. If one number is excluded, their mean ...

    Text Solution

    |

  8. If the mean of the observations : x, x + 3, x + 5, x + 7, x + 10 is 9,...

    Text Solution

    |

  9. If barx represents the mean of n observations x1, x2,…….,xn , then val...

    Text Solution

    |

  10. If each observation of the data is increased by 5, then their mean

    Text Solution

    |

  11. Let barx be the mean of x1,x2,……,xn and bary the mean of y1,y2……,yn ba...

    Text Solution

    |

  12. If barx is the mean of x1,x2,x3, ………..xn , then for ane0, the mean of ...

    Text Solution

    |

  13. If barx1,barx2,barx3,….., barxn are the means of n groups with n1,n2,…...

    Text Solution

    |

  14. The mean of 100 observations is 50. If one of the observations which w...

    Text Solution

    |

  15. There are 50 numbers. Each number is subtracted from 53 and the mean o...

    Text Solution

    |

  16. The mean of 25 observations is 36. Out of these observationsif the mea...

    Text Solution

    |

  17. The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is

    Text Solution

    |

  18. For drawing a frequency polygon of a continuous frequency distribution...

    Text Solution

    |

  19. Median of the following numbers : 4, 4, 5, 7, 6, 7, 7, 12, 3 is

    Text Solution

    |

  20. Mode of the data 15, 14, 19, 20, 14, 15, 1 6, 14, 15, 18, 14, 19, 15, ...

    Text Solution

    |