Home
Class 11
MATHS
Show that overset(n)underset(i=1)sum (xi...

Show that `overset(n)underset(i=1)sum (x_i - A)^2` is minimum when `A = barx`.

Promotional Banner

Topper's Solved these Questions

  • TAKI HOUSE

    UNITED BOOK HOUSE|Exercise EXERCISE|32 Videos

  • TANTIA HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

Prove that 1/n overset(n)underset(E_1)sum |x_i - A| attains, minimum when A = Median.

Find the value of overset(10)underset(i=1)sum(10xxi) .

A variable assumes the values x_1 , x_2 ,…….., x^_n with frequencies f_1 , f_2 ,………, f_n In respectively, show that overset(n)underset(i=1)sum f_i(x_i - barx) = 0 .

If x_1 , x_2 ,……. x_n are real quantities. Prove that 1/n overset(n)underset(i=1)sum x i^2 ge (1/n overset(n)underset(i=1)sum|x i|)^2

Show that: overset(1)underset(0)int (log(1+x)/(1+x^2))dx= pi/8 log 2 .

n = 10, Me(x) = 5, overset(10)underset(i=1)sum x_i = 40 , overset(10)underset(i=1)sum|x_i - 5|= 25 , overset(10)underset(i=1)sum |x_i - 4|= 27 Is the statement consistent? Give proper reason supporting your answer. Also define 71th Percentile.

The sum of the series underset(n=1)sum sin((nipi)/720) is

Let f(1)=1 and f(n)=2overset(n-1)underset(r=1)sum f( r ) . Then overset(m) underset(n=1)sum f(n) is equal to

Let x be a variable assuming the values 1, 2,……….k and let F_1 = n , F_2 ,…… F_k be the corresponding cumulative frequencies of the greater than type show that barx = 1/n overset(k)underset(i=1)sum F_i .

UNITED BOOK HOUSE-Taki House Govt. Sponsored Girls High School, Question Paper -Exercise
  1. The mode can be obtained geometrically from

    Text Solution

    |

  2. Bar diagrams are applicable to represent.

    Text Solution

    |

  3. What is the difference between line diagram and ratio chart?

    Text Solution

    |

  4. Define frequency density of a class interval.

    Text Solution

    |

  5. The A.M. of 1, 2, 2^2,……..2^9 is(fill in the blanks)

    Text Solution

    |

  6. The difference between the upper and lower limits of a class interval ...

    Text Solution

    |

  7. Describe cross sectional data with their utility.

    Text Solution

    |

  8. Define ordianl and nominal data.

    Text Solution

    |

  9. If the relation between two variables y and x is x - 3y = 6 and S.D. o...

    Text Solution

    |

  10. What are the merits of arithmetic mean?

    Text Solution

    |

  11. Write the two meanings of statistics.

    Text Solution

    |

  12. Write down the merits and demerits of mass questionnaire method.

    Text Solution

    |

  13. Write the significance of E.T.S.

    Text Solution

    |

  14. Compare bantulation with diagrammatic representation of data.

    Text Solution

    |

  15. How would you construct a frequency distribution of a continuous varia...

    Text Solution

    |

  16. If x > 0, y >0, z > 0 and x +y + z = 1, prove that (1+x)(1+y)(1+z)ge 8...

    Text Solution

    |

  17. Find the arithmetic mean of 7, 77, 777.upto p^(th) term.

    Text Solution

    |

  18. If the values of a variable are in G.P, then prove that A.M., G.M., H....

    Text Solution

    |

  19. For a set of positive quantities, Prove that A.M. ge GM ge H.M..

    Text Solution

    |

  20. Show that overset(n)underset(i=1)sum (xi - A)^2 is minimum when A = ba...

    Text Solution

    |