Home
Class 12
MATHS
The arithmetic mean of numbers a, b, c, ...

The arithmetic mean of numbers a, b, c, d, e is M. What is the value of `(a-M)+(n-M)+(n-M)+(d-M)+(e-M)`?

A

M

B

`a+b+c+d+e`

C

0

D

5 M

Text Solution

Verified by Experts

The correct Answer is:
C
Given `M=(a+b+c+d+e)/(5)`
`rArr" "a+b+c+d+e=5M`
`rArr" "a+b+c+d+e-5M=0`
`rArr" "(a-M)+(b-M)+(c-M)+(d-M)+(e-M)=0`
Hence, Required value = 0
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

If the average of m numbers is n^(2) and that of n numbers is m^(2) ,then the average of (m+n) numbers is m-n (b) mn(c)m+n (d) (m)/(n)

If m and n are natural numbers such that 2^(m)-2^(n)=960, what is the value of m?10 (b) 12 (c) 15(d) cannot be determined

If m^(n).n^(m)=800, then the value of (n)/(m) is (m < n)

Prove that the sum of m arihmetic means between the two numbers is to the sum of n arithmetic means between them is m:n.

a, b, c, d and e are integers .If a, b, c, d and e are geometric progression and lcm(m, n) is the least common multiple of m and n, then the maximum value of (1)/(1cm (a,b)) + (1)/(1cm (b,c)) + (1)/(1cm(c,d)) + (1)/(1cm (d,e)) is

If M = a (m + n) and N=b(m-n), then the value of (M/a+N/b) div (M/a - N/b) is:

An electron is in a state with n=4. What are (a) the number of possible values of l, (b) the number of possible values of m_(l) , (c ) the number of poosible values of m_(s) , (d) the number of states in the n=4 shell, and (e) the number of subshells in the n=4 shell?

The mth term of an arithmetic progression is x and nth term is y.Then the sum of the first (m+n) terms is: a.(m+n)/(2)[x-y+(x+y)/(m+n)] b.(1)/(2)[(x+y)/(m+n)+(x-y)/(m-n)]c(1)/(2)[(x+y)/(m+n)-(x-y)/(m-n)]d(m+n)/(2)[x+y+(x-y)/(m-n)]

NDA PREVIOUS YEARS-STATISTICS-MCQs
  1. The mean of 10 observations is 5. If 2 is added to each observation an...

    Text Solution

    |

  2. The arithmetic mean of first n odd natural numbers, is

    Text Solution

    |

  3. The arithmetic mean of numbers a, b, c, d, e is M. What is the value o...

    Text Solution

    |

  4. The algebraic sum of the deviations of 20 observations measured from 3...

    Text Solution

    |

  5. The median of 27 observations of a variable is 18. Three more observat...

    Text Solution

    |

  6. Frequency curve may be:

    Text Solution

    |

  7. The monthly family expenditure (in percentage) on different items are ...

    Text Solution

    |

  8. If the mena of few observations is 40 and standard deviation is 8, the...

    Text Solution

    |

  9. What is the standard deviation of 7, 9, 11, 13, 15?

    Text Solution

    |

  10. Which of the following is not a measure of dispersion?

    Text Solution

    |

  11. Let X and Y be two related variables. The two regression lines are giv...

    Text Solution

    |

  12. The marks obtained by 13 student in a test are 10, 3, 10, 12, 6, 7, 9,...

    Text Solution

    |

  13. Consider the following statements: 1 Both variance and standard devi...

    Text Solution

    |

  14. Consider the following frequency destribution : {:("Class interval",...

    Text Solution

    |

  15. The average marks obtained by the students in a class are 43. If the a...

    Text Solution

    |

  16. Marks obtained by 7 students in a subject are 30, 55, 75, 90, 50, 60, ...

    Text Solution

    |

  17. Variance is always independent of the change of

    Text Solution

    |

  18. If two lines of regression are perpendicular, then the correlation coe...

    Text Solution

    |

  19. The standard deviation of the observation 5, 5, 5, 5, 5 is

    Text Solution

    |

  20. The mean of 20 observation is 12. On checking, it was found that two o...

    Text Solution

    |