Home
Class 11
MATHS
If for distribution of 18 observations s...

If for distribution of 18 observations `sum(x_i-5)=3a n dsum(x_i-5)^2=43 ,` find the mean and standard deviation.

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find the mean and standard deviation of the given distribution of 18 observations based on the provided information. ### Given: 1. \( \sum (x_i - 5) = 3 \) 2. \( \sum (x_i - 5)^2 = 43 \) 3. Number of observations, \( n = 18 \) ### Step 1: Find the sum of the observations \( \sum x_i \) ...
Promotional Banner

Topper's Solved these Questions

  • SOME SPECIAL SERIES

    RD SHARMA|Exercise Solved Examples And Exercises|69 Videos
  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

Similar Questions

Explore conceptually related problems

If the mean and standard deviation of 75 observations is 40 and 8 respectively, find the new mean and standard deviation if (i) each observation is multiplied by 5. (ii) 7 is added to each observation.

If, s is the standard deviation of the observations x_(1),x_(2),x_(3),x_(4) and x_(5) then the standard deviation of the observations kx_(1),kx_(2),kx_(3),kx_(4) and kx_(5) is

The mean and standard deviation of six observations are 8 and 4, respectively.If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

The mean and standard deviation of 6 observations are 8 and 4 respectively . If each observation is multiplied by 2, find the new mean and new standard deviation of the resulting observation.

The standard deviation of a distribution is 30. If each observation is increased by 5, then the new standard deviation will be

Let x_(1),x_(2),...,x, are n observations such that sum_(i=1)^(t)x_(1)=10 and sum_(i=1)^(n)x_(i)^(2)=260 and standard deviation is 5 then n is equal to

If the sum of the squares of deviations for 10 observations taken from their means is 2.5 then write the value of standard deviation.

The variance of 6x_(i) + 3 is 30 , find the standard deviation of x_(i) .

If sum_(i=1)^n (x_i -a) =n and sum_(i=1)^n (x_i - a)^2 =na then the standard deviation of variate x_i

RD SHARMA-STATISTICS-Solved Examples And Exercises
  1. Calculate the mean deviation about the mean of the set of first n natu...

    Text Solution

    |

  2. Let x1,\ x2,\....,\ xn values of variable X and let 'a' be non zero re...

    Text Solution

    |

  3. If for distribution of 18 observations sum(xi-5)=3a n dsum(xi-5)^2=43 ...

    Text Solution

    |

  4. If the mean and standards deviation of 100 observations are 50 and 4 ...

    Text Solution

    |

  5. Find the standard deviation for the following data: (i) x : 3,8, 13, ...

    Text Solution

    |

  6. The mean and standard deviation of 20 observations are found to be ...

    Text Solution

    |

  7. For a frequency distribution mean deviation from mean in computed by ...

    Text Solution

    |

  8. Calculate the mean and standard deviation for the following distrib...

    Text Solution

    |

  9. Let a, b, c, d, e, be the observations with m and standard deviation s...

    Text Solution

    |

  10. If n=10 , X =12 and sum x^{2}=1530 then the coefficient of variation ...

    Text Solution

    |

  11. The mean deviation for n observations x1, x2, ......... , xn from th...

    Text Solution

    |

  12. The standard deviation of the observations 6,5,9,13,12,8,10 is

    Text Solution

    |

  13. If the standard deviation of a variable X \ is \ sigma , then standard...

    Text Solution

    |

  14. The mean of 100 numbers observations is 50 and their standards devi...

    Text Solution

    |

  15. The following is ht record of goals scored by team A in a football ...

    Text Solution

    |

  16. The standard deviation of first 10 natural numbers is 8.25            ...

    Text Solution

    |

  17. Let x1, x2, ,xn be xn observations. Let yi=a xi+b for i=1,2,...,n wher...

    Text Solution

    |

  18. Let x1, x2, ... ,xn be n observations and barX be their arithmetic me...

    Text Solution

    |

  19. The following are some particulars of the distribution of weights of ...

    Text Solution

    |

  20. The mean deviation of the data 3,10,10,4,7,10,5 from the mean is (a) 2...

    Text Solution

    |