Home
Class 12
MATHS
Consider the following statements: 1. ...

Consider the following statements:
1. Sum of deviations from mean is always zero.
2. The sum of absolute deviations is minimum when taken around median.
Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
Both the given statements are correct.
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS, FUNCTIONS AND NUMBER SYSTEM

    NDA PREVIOUS YEARS|Exercise MCQ|271 Videos

  • TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS

    NDA PREVIOUS YEARS|Exercise MCQ|238 Videos

Similar Questions

Explore conceptually related problems

The Algebric Sum of deviations from Mean is zero.

Consider the following statements: 1. The sum of cubes of first 20 natural numbers is 44400. 2. The sum of squares of first 20 natural numbers is 2870. Which of the above statement is/are correct?

Which of the following statements are true ? Sum of 3 different integers is always zero.

Consider the following statements: 1. Coefficient of variation depends on the unit of measurement of the variable. 2. Range is a measure of dispersion. 3. Mean deviation is least when measured about median. Which of the above statements are correct?

NDA PREVIOUS YEARS-STATISTICS-MCQs
  1. If 4x-5y+33=0 and 20x-9y=107 are two lines of regression, then what ar...

    Text Solution

    |

  2. Consider the following statements: 1. Mean in independent of change ...

    Text Solution

    |

  3. Consider the following statements: 1. Sum of deviations from mean is...

    Text Solution

    |

  4. What is the median of the numbers 4.6, 0, 9.3, -4.8, 7.6,2.3,12.7,3.5,...

    Text Solution

    |

  5. In a test in Mathematics, 20% of the students obtained ''first class''...

    Text Solution

    |

  6. The mean and standard deviation of a set of values are 5 and 2 respect...

    Text Solution

    |

  7. Calculate the mean and standard deviation of first natural numbers.

    Text Solution

    |

  8. The correlation coefficient computed from a set of 30 observation is 0...

    Text Solution

    |

  9. The mean age of a combined group of men and women is 25 yrs . If mean...

    Text Solution

    |

  10. Consider the following statements: 1. If 10 is added to each entry o...

    Text Solution

    |

  11. The variance of 25 observations is 4. If 2 is added to each observatio...

    Text Solution

    |

  12. If the regression coefficient of Y on X is -6, and the correlation coe...

    Text Solution

    |

  13. The set of bivariate observation (x(1),y(1)),(x(2),y(2)),…..(xn,yn) ar...

    Text Solution

    |

  14. An alalysis of monthly wages paid to the workers in two firms A and B ...

    Text Solution

    |

  15. Which one of the following can be obtained from an ogive?

    Text Solution

    |

  16. In any discrete series (when all values are not same ) is x represents...

    Text Solution

    |

  17. In which one of the following cases would you except to get a negative...

    Text Solution

    |

  18. The mean of 100 observation is 50 and the standard deviation is 10. If...

    Text Solution

    |

  19. Consider the following statements: 1. The algebraic sum of deviation...

    Text Solution

    |

  20. Let the correlation coefficient between X and Y be 0.6. Random variabl...

    Text Solution

    |