Home
Class 12
MATHS
The standard deviation of 25 numbers is ...

The standard deviation of 25 numbers is 40. If each of the numbers in increased by 5, then the new standard deviation will be -

A

40

B

45

C

`40+(21)/(25)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

If each item of the data is increased or decreased by the same constant, the standard deviation of the data remains unchanged.
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • STATISTICS

    CENGAGE PUBLICATION|Exercise Exercise 11.2|6 Videos
  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Comprehension Type|6 Videos
  • STRAIGHT LINE

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|8 Videos

Similar Questions

Explore conceptually related problems

The standard deviation of first 10 natural numbers is

Let sigma be the standard deviation of n observations. Each of the n observation is multiplied by a constant c. Then the standard deviation of the resulting numbers is

The standard deviation of 32 numbers is 5. If the sum of the numbers is 80, determine the sum of the squares of the numbers.

Find the standard Deviation of 6 and 8.

The standard Deviation of 30 observation of a sample is 4.5 If each observation be subtracted 10, the find the new standard deviation of the resulting observations.

The standard deviation of 32 numbers is 5.If the sum of the numbers is 80,determine the sum of the squares of the numbers.

Standard deviation of first 10 natural numbers is

Standand deviation of the 6 numbers 5, 5, 5, 7, 7, 7 is

The Standard Deviation of scores 1, 2, 3, 4, 5 is

CENGAGE PUBLICATION-STATISTICS-Exercises
  1. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

    Text Solution

    |

  2. If each observation of a raw data whose variance is sigma is multiplie...

    Text Solution

    |

  3. If a variable x takes values 0,1,2,..,n with frequencies proportional ...

    Text Solution

    |

  4. Variance of the data 2,4,6,8,10 is

    Text Solution

    |

  5. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  6. For a given distribution of marks, the mean is 35.16 and its standard ...

    Text Solution

    |

  7. The mean and S.D of 1, 2, 3, 4, 5, 6 is

    Text Solution

    |

  8. The standard deviation of 25 numbers is 40. If each of the numbers in ...

    Text Solution

    |

  9. Consider any set of observations x(1),x(2),x(3),..,x(101). It is given...

    Text Solution

    |

  10. For (2n+1) observations x(1), -x(1),x(2),-x(2),..,x(n),-x(n) and 0, wh...

    Text Solution

    |

  11. If barx is the mean of n observations x(1),x(2),x(3)……x(n), then the v...

    Text Solution

    |

  12. If the standard deviation of a variable x is sigma , then standard dev...

    Text Solution

    |

  13. The standard deviation of the data 6,5,9,13,12,8,10 is

    Text Solution

    |

  14. If the mean of 100 observations is 50 and their standard deviations is...

    Text Solution

    |

  15. The standard deviation of first 10 natural numbers is

    Text Solution

    |

  16. Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each num...

    Text Solution

    |

  17. Consider the first 10 positve integers .If we multiply each number by ...

    Text Solution

    |

  18. If for a sample of size 60, we have the following information sumxi^2=...

    Text Solution

    |

  19. The standard deviation of some temperature data in .^(@)C is 5 .If the...

    Text Solution

    |

  20. What is the standard deviation of the following data ? {:("Measureme...

    Text Solution

    |