Home
Class 12
MATHS
The mean and S.D of 1, 2, 3, 4, 5, 6 is...

The mean and S.D of `1, 2, 3, 4, 5, 6` is

A

`(7)/(2),sqrt((35)/(2))`

B

`3,3`

C

`(7)/(2),sqrt(3)`

D

`3,(35)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
A
Mean`overline(x)=(1+2+3+4+5+6)/(6)=(21)/(6)=(7)/(2)`
`SD=sigma=sqrt((1)/(n)sum_(1)^(2)-(overline(x))^(2))`
`=sqrt((1)/(6)(1+4+9+16+25+36)-(49)/(4))`
`=sqrt((91)/(6)-(49)/(4))=sqrt((182-147)/(12))=sqrt((35)/(12))`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    CENGAGE|Exercise JEE Previous Year|10 Videos

  • STATISTICS

    CENGAGE|Exercise Exercise 11.2|6 Videos

  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE|Exercise Comprehension Type|6 Videos

  • STRAIGHT LINE

    CENGAGE|Exercise Multiple Correct Answers Type|8 Videos

Similar Questions

Explore conceptually related problems

When a die is rolled, sample space S = {1, 2, 3, 4, 5, 6}. Let some of the events are A = {2, 3}, B = {1, 3,5}, C = {4, 6}, D = {6} and E = {1,5}. (v) Event D is Compound Event.

When a die is rolled, sample space S = {1, 2, 3, 4, 5, 6}. Let some of the events are A = {2, 3}, B = {1, 3,5}, C = {4, 6}, D = {6} and E = {1,5}. (iv) Event A is Simple Event.

State True or False: When a die is rolled, sample space S = {1, 2, 3, 4, 5, 6}. Let some of the events are A = {2, 3}, B = {1, 3,5}, C = {4, 6}, D = {6} and E = {1,5}. (i) Events A and B are Mutually Exclusive Events.

When a die is rolled, sample space S = {1, 2, 3, 4, 5, 6}. Let some of the events are A = {2, 3}, B = {1, 3,5}, C = {4, 6}, D = {6} and E = {1,5}. (ii) Events A and Care Mutually Exclusive Events.

When a die is rolled, sample space S = {1, 2, 3, 4, 5, 6}. Let some of the events are A = {2, 3}, B = {1, 3,5}, C = {4, 6}, D = {6} and E = {1,5}. (iii) Events A, B and Care Exhaustive Events.

The S.D.of 7 scored 1,2,3,4,5,6,7 is

the mean and standard deviation of 1,2,3,4,5,6 are

The mean and standard deviation of 1,2,3,4,5,6 are

The mean of 1^3. 2^3,3^3,4^3,5^3,6^3,7^3 is

The sum of mean, mode and median of the data 6, 3, 9, 5, 1, 2, 3, 6,5, 1, 3 is

CENGAGE-STATISTICS-Exercise (Single)
  1. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

    Text Solution

    |

  2. If each observation of a raw data whose variance is sigma is multiplie...

    Text Solution

    |

  3. If a variable x takes values 0,1,2,..,n with frequencies proportional ...

    Text Solution

    |

  4. Variance of the data 2,4,6,8,10 is

    Text Solution

    |

  5. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  6. For a given distribution of marks, the mean is 35.16 and its standard ...

    Text Solution

    |

  7. The mean and S.D of 1, 2, 3, 4, 5, 6 is

    Text Solution

    |

  8. The standard deviation of 25 numbers is 40. If each of the numbers in ...

    Text Solution

    |

  9. Consider any set of observations x(1),x(2),x(3),..,x(101). It is given...

    Text Solution

    |

  10. For (2n+1) observations x(1), x(2),-x(2),..,x(n),-x(n) and 0, where al...

    Text Solution

    |

  11. Let r be the range and S^(2)=(1)/(n-1) sum(i=1)^(n) (x(i)-overline(x))...

    Text Solution

    |

  12. The standard deviation of variate xi is σ. Then standard deviation of ...

    Text Solution

    |

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

    Text Solution

    |

  14. If the mean of 100 observations is 50 and their standard deviations is...

    Text Solution

    |

  15. The standard deviation of first 10 natural numbers is 8.25 (b) 6.5 (c)...

    Text Solution

    |

  16. Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to e...

    Text Solution

    |

  17. Consider the first 10 positve integers .If we multiply each number by ...

    Text Solution

    |

  18. If for a sample of size 60, we have the following information sumxi2=1...

    Text Solution

    |

  19. The standard deviation of some temperature data in .^(@)C is 5 .If the...

    Text Solution

    |

  20. What is the standard deviation of the following data ? {:("Measureme...

    Text Solution

    |