Home
Class 12
MATHS
Runs scored by a batsman in 10 innings a...

Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,54,44
The mean deviation is

A

8.6

B

6.4

C

10.6

D

9.6

Text Solution

Verified by Experts

The correct Answer is:
A
Arranging the given data in ascending order, we have
34, 38, 42, 44, 46, 48, 54, 55, 63, 70,
Medain, `M=(46+48)/(2)=47 " " (because n=10`, median is the mean of 5th and 6th items)
`therefore` Mean deviation `=(sum |x_(i)-M|)/(n)`
`=(sum|x_(i)-47|)/(10)`
`=(13+9+5+3+1+1+7+8+16+23)/(10)`
=8.6
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
CENGAGE-STATISTICS-Exercise (Single)
  1. The following data give the distribution of heights of students : {:...

    Text Solution

    |

  2. For a slightly asymmetric distribution, mean and medain are 5 and 6, r...

    Text Solution

    |

  3. Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,...

    Text Solution

    |

  4. If mu us the mean of distribution {y(1),f(1)}, then sumf(1)(i(1)-mu) ...

    Text Solution

    |

  5. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |