Home
Class 11
MATHS
Let x be a variable assuming the values ...

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`.

Promotional Banner

Topper's Solved these Questions

  • HARE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|34 Videos
  • HINDU SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|15 Videos

Similar Questions

Explore conceptually related problems

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 .

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

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

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

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let F_(k) be the event "exactly k heads are obtained". Then the value of n/k for which E and F_(k) are independent is _____.

Suppose a variable x takes only two values x_1 and x_2 with frequencies f_1 and f_2 . If s be the s.d. of x, show that s^2 = f_1f_2 [(x_1 - x_2)/(f_1 + f_2)]^2

If f_i, F_i, F'_i are respectively the frequency less than type cumulative frequency, greater than type cumulative frequency of i-th class and N be the total freqnency then which of the following is correct?

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt1 , show that I is an odd integer and (1-f)(1+f) =1

The value of underset(n=1)overset(13)sum(i^(n)+i^(n-1)),=i=sqrt(-1) is -

Let f : (-infty,1] rarr (-infty, 1] such that f(x) = x(2 -x), then f^-1 (x) is

UNITED BOOK HOUSE-Hare School, Question Paper -Exercise
  1. If P(A) = 1/2, P(B) = 2/3 then prove that 1/6 le P(A nn B) le 1/2

    Text Solution

    |

  2. If 9 biscuits of different types be distributed among 3 children, find...

    Text Solution

    |

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

    Text Solution

    |

  4. If y = (x-a)/b, then prove that Sy = frac(Sx)(|b|)

    Text Solution

    |

  5. Prove that P(A uu B) = P(A) + P(B) - P(A nn B)

    Text Solution

    |

  6. The variance of 1, 2,…………..n is 24. Find n.

    Text Solution

    |

  7. For 10 values of X, it is given that sumu = 4 and sum u^2 = 144, where...

    Text Solution

    |

  8. Two groups of 15 and 22 values have variances 9 and 16 respectively. I...

    Text Solution

    |

  9. For a set of an positive quantities prove that AM ge GM ge HM.

    Text Solution

    |

  10. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

    Text Solution

    |

  11. Let x be a variable assuming the values 1, 2,……….k and let F1 = n, F2,...

    Text Solution

    |

  12. |x-2| le 6 implies that

    Text Solution

    |

  13. When it comes to comparing different segments among themselves and als...

    Text Solution

    |

  14. Mode of a distribution can be obtained from

    Text Solution

    |

  15. Frequency curve is the limiting form of

    Text Solution

    |

  16. If the AM and HM of two numbers are 16 and 4 respectively, then the GM...

    Text Solution

    |

  17. If the median and mode for a moderate asymmetrical distribution are 8 ...

    Text Solution

    |

  18. If 2x + 3y = 6 and S.D. of X = 6, the S.D. of y is -

    Text Solution

    |

  19. If the C.V. is 40 and SX^2 = 400, then barx is

    Text Solution

    |

  20. If 3x - 2y + 6 = 0, R(x) = 4, then R(y) is

    Text Solution

    |