Home
Class 11
MATHS
The following table gives the distributi...

The following table gives the distribution of income of 100 families in a village. Calculate the standard deviation: Income Rs., 0-1000, 1000-2000, 2000-3000, 3000-4000, 4000-5000, 5000-6000 No. of Families, 18, 26, 30, 12, 10, 4

Text Solution

AI Generated Solution

To calculate the standard deviation of the given distribution of income for 100 families, we will follow these steps: ### Step 1: Create the Frequency Table We have the following income distribution: | Income Range (Rs.) | No. of Families (f) | |--------------------|---------------------| | 0 - 1000 | 18 | ...
Promotional Banner

Topper's Solved these Questions

  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 Videos
  • THE CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

The following table gives the distribution of the life time of 400 neon lamps: Lite time: (in hours) Number of lamps 1500-2000 14 2000-2500 56 2500-3000 60 3000-3500 86 3500-4000 74 4000-4500 62 4500-5000 48 Find the median life.

Calculate coefficient of variation from the following data: Income (in Rs.) 1000-1700 1700-2400 2400-3100 3100-3800 3800-4500 4500-5200 No. o families 12 18 20 25 35 10

The following data gives the distribution of total household expenditure (in rupees) of manual workers in a city: Expenditure (Rs.) Frequency Expenditure ( Rs.) Frequency 1000-1500 24 3000-3500 30 1500-2000 40 3500-4000 22 2000-2500 33 4000-4500 16 2500-3000 28 4500-5000 7 Find the average expenditure which is being done by the maximum number of manual workers.

The following table gives the marks scored by 100 students in an entrance examination. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 No. of Students (Frequency): 4 10 16 22 20 18 8 2 Represent this data in the form of a histogram.

Calculate mean, variance and standard deviation of the following frequency distribution: Class 1-10 10-20 20-30 30-40 40-50 0-60 Frequency: 11 29 18 4 5 3

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Runs scored 3000-4000 4000-5000 5000-6000 6000-7000 7000-8000 8000-9000 9000-10000 10000-11000 No. of batsmen 4 18 9 7 6 3 1 1. Find the mode of the data.

The following table gives the daily income of 50 workers of a factory: Daily income (in Rs): 100-120 120-140 140-160 160-180 180-200 Number of workers: 12 14 8 6 10 Find the mean, mode and median of the above data.

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure: Expenditure (Rs.) Frequency Expenditure (Rs.) Frequency 1000-1500 24 3000-3500 30 1500-2000 40 3500-4000 22 2000-2500 33 4000-4500 16 2500-3000 28 4500-5000 7

Draw a pie-diagram for the following data of expenditure pattern in a family: Items, Food, Clothing, Rent, Edu., Misc. Expenditure (in Rs.), 4000, 2000, 1500, 1500, 1000

The following table gives the number of children of 150 families in a village No. of children (x) : 0 1 2 3 4 5 No. of families (f) : 10 21 55 42 15 7 Find the average number of children per family.

RD SHARMA ENGLISH-STATISTICS-All Questions
  1. Calculate mean for the following data: xi : 3 9 17 23 27...

    Text Solution

    |

  2. Calculate the mean and standard deviation for the following data: Wage...

    Text Solution

    |

  3. The following table gives the distribution of income of 100 families i...

    Text Solution

    |

  4. While calculating mean and variance of 10 readings, a student wrong...

    Text Solution

    |

  5. Mean  and standard deviation of 100 observations were found to be 4...

    Text Solution

    |

  6. The number of telephone calls received at an exchange in 245 successiv...

    Text Solution

    |

  7. Calculate mean deviation from the median for the following distribu...

    Text Solution

    |

  8. Find the variance and standard deviation for the following data: 4,6,1...

    Text Solution

    |

  9. Complete the variance and standard deviation of the following obser...

    Text Solution

    |

  10. Calculate the mean deviation about the mean of the set of first n natu...

    Text Solution

    |

  11. Let x1, x2, x3, , be n values of a variable X. If these values are ch...

    Text Solution

    |

  12. Find the mean deviation from the mean for the data: 6,7,10,12,13,4,...

    Text Solution

    |

  13. The scores of a batsman in ten innings are : 38,70,48,34,42,55,63,46,5...

    Text Solution

    |

  14. Calculate the mean deviation about median from the following data: 340...

    Text Solution

    |

  15. For a group of 200 candidates the mean and S.D. were found to be 40 an...

    Text Solution

    |

  16. The mean deviation from e median is a.equal to that measured from anot...

    Text Solution

    |

  17. Calculate the mean deviation about the mean of the set of first n natu...

    Text Solution

    |

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

    Text Solution

    |

  19. Life of bulbs produced by two factories A and B are given below: Lengt...

    Text Solution

    |

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

    Text Solution

    |