Home
Class 9
MATHS
if overlinex is the mean of x(1),x(2),x(...

if `overlinex` is the mean of `x_(1),x_(2),x_(3),….,x_(n) " then "sum_(n)^(i=1) (x_(i) -overlinex)=?`

Text Solution

Verified by Experts

The correct Answer is:
b
`overset(n)underset(i=1) sum (x_(i) -overlinex)= (x_(1) - overlinex) +(x_(2) -overlinex) +….+(x_(n) -overlinex)`
`= ( x_(1)+x_(2) +…..+ x_(n))-noverlinex= (noverlinex - noverlinex)=0`
Promotional Banner

Topper's Solved these Questions

  • MEAN , MEDIAN AND MODE OF UNGROUPED DATA

    RS AGGARWAL|Exercise Exercise 18D|8 Videos

  • LINES AND ANGLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|28 Videos

  • NUMBER SYSTEMS

    RS AGGARWAL|Exercise Very Short Answer Questions|23 Videos

Similar Questions

Explore conceptually related problems

If barx is the mean of x_1, x_2, x_3, ... .. , x_n , then sum_(i=1)^(n)(x_i-barx)=

If barx represents the mean of n observations x_(1), x_(2),………., x_(n) , then values of Sigma_(i=1)^(n) (x_(i)-barx)

If sum_(i=1)^(2n)cos^(-1)x_(i)=0 , then sum_(i=1)^(2n)x_(i) is :

Let barx be the mean of x_(1),x_(2),x_(3),……..,x_(n) . If x_(i)=a+cy_(i) for some constants a and c, then what will be the mean of y_(1),y_(2),y_(3),……..,y_(n) ?

If X is discrete random variable takes the values x_1, x_2, x_3 , ... x_n then sum_(i=1) P(x_i) = ........

If sum_(i=1)^(n)sin x_(i)=n then sum_(i=1)^(n)cot x_(i)=

If sum_(i=1)^(n)sin x_(i)=n then sum_(i=1)^(n)cot x_(i)=

RS AGGARWAL-MEAN , MEDIAN AND MODE OF UNGROUPED DATA -Multiple Choice Questions (Mcq)
  1. If the mean of five observations x ,\ x+2,\ x+4,\ x+6,\ x+8\ i s\ 11...

    Text Solution

    |

  2. If the mean of the observation x, x+3, x+5, x+7 and x+10 is 9, then me...

    Text Solution

    |

  3. if overlinex is the mean of x(1),x(2),x(3),….,x(n) " then "sum(n)^(i=1...

    Text Solution

    |

  4. If each observation of the data is decreased by 8 then their mean

    Text Solution

    |

  5. The mean weight of 6 boys in a group is 48 kg. the individual weight o...

    Text Solution

    |

  6. The mean of the marks scored by 50 students was found to be 39 later o...

    Text Solution

    |

  7. The mean of 100 items was found to be 64. Later on it was discovered t...

    Text Solution

    |

  8. The mean of 100 observation is 50. If one of the observation which was...

    Text Solution

    |

  9. Let barx be the mean of x(1), x(2), ………, x(n) and bary be the mean of ...

    Text Solution

    |

  10. If barx is the mean of x(1), x(2), …………., x(n), then for a ne 0, the m...

    Text Solution

    |

  11. If barx(1), barx(2), barx(3),………barx(n) are the means of n groups with...

    Text Solution

    |

  12. The mean of the following data is 8. Then, the value of p is

    Text Solution

    |

  13. The runs scored by 11 members of a cricket team are 15,34,56,27,43,...

    Text Solution

    |

  14. The weight of 10 students (in kg) are 55,40,35,52,60,38,36,45,31,44....

    Text Solution

    |

  15. The median of the numbers 4,4,5,6,7,7,12,3,12 is

    Text Solution

    |

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

    Text Solution

    |

  17. Mode of the data 15,17,19,14,18,15,14,20,19,14,15,19,14 is

    Text Solution

    |

  18. The median of the data arranged in ascending order 8,9,12,18,(x+2),(x+...

    Text Solution

    |