Home
Class 11
MATHS
Mean deviation for n observation x1,x2,…...

Mean deviation for n observation `x_1,x_2,……….,x_n` from their mean `barx` is given by …….

A

`sum_(i=1)^(n) (x_i = barx)`

B

`1/n sum_(i=1)^(n) |x_i - barx|`

C

`sum_(i=1)^(n) |x_i - barx|`

D

`1/n sum_(i=1)^(n) (x_i - barx)^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|23 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Given that bar(x) is the mean and sigma^(2) is the variance of n observation x_(1), x_(2), …x_(n). Prove that the mean and sigma^(2) is the variance of n observations ax_(1),ax_(2), ax_(3),….ax_(n) are abar(x) and a^(2)sigma^(2) , respectively, (ane0) .

prove that if the variance of the observations x_1,x_2,x_3,…….,x_n is sigma^2 then the variance of x_1+a,x_2 +a, x_3 + a,………….., x_n + a is sigma^2 .

The mean deviation of the data is ……… when measured from the median.

If each of the observation x_(1), x_(2), ...,x_(n) is increased by 'a', where a is a negative or positive number, show that the variance remains unchanged.

If sum_(i=1)^9 (x_i - 5) = 9 and sum_(i=1)^9 (x_i - 5)^2 = 45. The standard deviation of the observations x_1, x_2,………,x_9 is ………….

the mean and standard deviation of some data for the time taken to complete a test are calculated with the following results: Number of observations = 25, mean = 18.2 seconds , standard deviation = 3.25 seconds. Further , another set of 15 observations x_1,x_2,........,x_15 , also in seconds , is now available and we have sum_(i=1)^15 x_i = 279 and sum_(i=1)^15 x_i^2 = 5524. Calculated the standard deviation based on all 40 observations.

Find the algebraic sum of the deviations of all the observations from their mean.

The mean and standard deviation of a set of n_1 observation are barx_1 and S_1 , respectively while the mean standard deviation of another set of n_2 observations are barx_2 and S_2 , respectively . Show that the standard deviation of the combined set of (n_1+n_2) observations is given by standard deviation sqrt ((n_1(S_1)^2 + n_1(S_2)^2)/(n_1+n_2) + (n_1+n_2 (barx_1 - barx_2)^2)/(n_1-n_2)^2)

The mean of n observations is bar(x) . If the first observation is increased by 1, the second by 2 and so on, the new mean is . . . .

KUMAR PRAKASHAN-STATISTICS-NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)
  1. The mean deviation about mean of the observation 3, 10, 10, 4, 7, 10, ...

    Text Solution

    |

  2. Mean deviation for n observation x1,x2,……….,xn from their mean barx is...

    Text Solution

    |

  3. When tested , the lives (in hours) of 5 bulbs were noted as follows : ...

    Text Solution

    |

  4. Following are the marks obtained by 9 students in a mathematics test :...

    Text Solution

    |

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

    Text Solution

    |

  6. Let x1, x2 ,…………,xn be n observations and barx be their arithmetic mea...

    Text Solution

    |

  7. The mean of 100 observations is 50 and their standard deviation is 5. ...

    Text Solution

    |

  8. Let a,b,c,d,e be the observations with mean m and standard deviation S...

    Text Solution

    |

  9. Let x1,x2, x3, x4, x5 be the observations with mean m and standard dev...

    Text Solution

    |

  10. Let x1,x2,x3,………,xn be n observations . Let Wi = lxi + k for i=1,2,……,...

    Text Solution

    |

  11. Standard deviations for first 10 natural numbers is

    Text Solution

    |

  12. Consider the numbers 1,2,3,4,5,6,7,8,9,10 . If 1 is added to each numb...

    Text Solution

    |

  13. Consider the first 10 positive integers . If we multiple each number b...

    Text Solution

    |

  14. The following information relates to a sample of size 60: sum xi^2 = 1...

    Text Solution

    |

  15. Coefficient of variation of two distributions are 50 and 60, and their...

    Text Solution

    |

  16. The standard deviation of some centigrade (""^@C) temperature is 5. if...

    Text Solution

    |