Home
Class 11
MATHS
The following values are calculated in r...

The following values are calculated in respect  of heights and weights of the students of a section of class XI:   Height Weight Mean 162.6 cm 52.36 kg Variance 127.69cm2 23.1361 kg2 Can we say that the weights show greater variation than the heights?

Text Solution

Verified by Experts

The correct Answer is:
Yes. we can say that weights show more variability than heights.
To compare the variability, we have to calculate their coefficients of variation.

Given, variance of height `=127.69 cm^{2}`

Therefore, standard deviation of height

`=\sqrt{127.69}=11.3 cm`

...
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

The following values are calculated in respect of heights and weights of the students of a section of Class XI: Height Weight Mean 162.6 cm 52.36 kg Variance 127.69cm^(2)23.1361kg^(2) Can we say that the weights show greater variation than the height.

The mans and standard deviations of heights ans weights of 50 students of a class are as follows: Weights Heights Mean 63.2kg63.2 inch standard deviation 5.6kg11. inch Which shows more variability,heights or weights?

Following table shows the weight of 12 students: Weight (in kgs) 67 70 72 73 75 Number of Students: 4 3 2 2 1 Find the mean weight of the students.

A 6 kg weight is fastened to the end of a steel wire of unstretched length 60 cm . It is whirled in a vertical circle and has an angular velocity of 2 rev//s at the bottom of the circle. The area of cross - section of the wire is 0.05 cm ^(2) . Calculate the elongation of the wire when the weight is at the lowest point of the path . Young's modulus of steel = 2xx10 ^(11) N //m^(2) .

Following frequency distribution given the weights of 38 students of a class: Weight in Kg: 31-35 36-40 41-45 46-50 51-55 56-60 61-65 66-70 71-75 No. of students9 5 14 3 1 2 2 1 1 Find the probability that weight of a student in the class is: (i)at most 60 kg (ii)at least 36 kg (iii)not more than 50kg. Also define two events in this context, one having probability 0 and the other having probability 1.

Hanumappa and his wife Gangavva are busy making Jaggery out of sugar-cane. They have processed the sugarcane juice to make the molasses which is poured into moulds of the shape shown in Fig 16.72. It will be cooled to solidify in this shape to be sent to the market. Each mould is in the sh ape of a frustum of a cone having the diameters of its two circular ends as 30 cm and 35 cm and the height of the mould is 14 cm. If each c m^3 of molasses weighs about 1.2 gm, find the weight of molasses that can be poured into each mould (Take pi=22//7 )

Consider a vertical tube open at both ends. The tube consistss of two parts, each of different cross sections and each part having a piston which can move smoothly in respective tubes. The two piston which can move smoothly in respective tube wire. The piston are joined together by an inextensible wire. The combined mass of the two piston is 5 kg and area of cross section of the upper piston is 10 cm^(2) greater than that of the lower piston. Amount of gas enclosed by the pistons is 1 mol . When the gas is heated slowly, pistons move by 50 cm . Find the rise in the temperature of the gas in the form X//R K , where R is universal gas constant. Use g = 10 m//s^(2) and outside pressure = 10^(5) N//m^(2)) .

RD SHARMA-STATISTICS-Solved Examples And Exercises
  1. Show that the two formulae for the standard deviation of ungrouped d...

    Text Solution

    |

  2. Find the variance and standard deviation for the following distribu...

    Text Solution

    |

  3. Table below shows the frequency f with which x alpha particles were ra...

    Text Solution

    |

  4. Calculate the mean and S.D. for the following data: Expenditure (i...

    Text Solution

    |

  5. Calculate the standard deviation for the following data: Class 0-...

    Text Solution

    |

  6. The mean and standard deviation of 100 observations were calculated as...

    Text Solution

    |

  7. Calculate mean, variance and standard deviation of the following fre...

    Text Solution

    |

  8. An analysis of monthly wages paid to workers in two firms A and B, bel...

    Text Solution

    |

  9. The following values are calculated in respect  of heights and weights...

    Text Solution

    |

  10. The sum and sum of squares corresponding to length x (in cm) and weigh...

    Text Solution

    |

  11. Two plants A and B of a factory show following results about the numbe...

    Text Solution

    |

  12. The means and standard deviations of heights ans weights of 50 student...

    Text Solution

    |

  13. Coefficient of variation of two distributions are 60% and 70% and thei...

    Text Solution

    |

  14. An analysis of the weekly wages paid to workers in two firms A and B, ...

    Text Solution

    |

  15. The mean and standard deviation of marks obtained by 50 students of a ...

    Text Solution

    |

  16. The variance of first n natural number is:

    Text Solution

    |

  17. If the sum of the squares of deviations for 10 observations taken from...

    Text Solution

    |

  18. If x1, x2, ,\ xn are n values of a variable X\ a n d\ y1, y2 yn are n...

    Text Solution

    |

  19. In a series of 20 observations, 10 observation each equal to k and eac...

    Text Solution

    |

  20. If each observation of a dist., whose variance is σ^2 , is multiplied ...

    Text Solution

    |