First we have to calculate Mean for Length x,

\(Mean=\overline{X}=\dfrac{\displaystyle\sum x_i}{n}\)

\( Variance= \dfrac{1}{N^2}[N\displaystyle\sum{f_i}x_i^2-(\displaystyle\sum{f_i}x_i)^2] \)

= \( (\dfrac{1}{50^2})[(50\times 902.8)-212^2]\)

= \( \dfrac{1}{2500}(45140-44944)\)

= \( \dfrac{196}{2500}\)

= 0.0784

Standard deviation σ = \( \sqrt{Variance}\)

= \( \sqrt{0.0784}\) = 0.28

\(\) \( C.V._X=\dfrac{σ}{X}\times 100\)

= \( \dfrac{0.28}{4.24}\times 100\)

= 6.603

Now we have to calculate mean of weight y

= \( \overline{Y}=\dfrac{\displaystyle\sum y_i}{n}\)

= \(\dfrac{261}{50}=5.22\)

\(Variance= \dfrac{1}{N^2}[N\displaystyle\sum{f_i}y_i^2-(\displaystyle\sum{f_i}y_i)^2] \)

= \( (\dfrac{1}{50^2})[(50\times 1457.6)-261^2]\)

= \( \dfrac{1}{2500}(72880-68121)\)

= \( \dfrac{4759}{2500}\)

= 1.9036

Standard deviation σ = \( \sqrt{Variance}\)

= \( \sqrt{1.9036}\) = 1.37

So, co-efficient of variation of team B,

\( C.V._Y=\dfrac{σ}{X}\times 100\)

= \(\dfrac{1.37}{5.22}\times 100\)

= 26.24

Thus, C.V. of weights is greater than the C.V. of lengths.

Therefore, weights vary more than the lengths

Answered by Abhisek | 11 months agoFind the mean deviation from the mean and from a median of the following distribution:

Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

No. of students | 5 | 8 | 15 | 16 | 6 |

The age distribution of 100 life-insurance policy holders is as follows

Age (on nearest birthday) | 17-19.5 | 20-25.5 | 26-35.5 | 36-40.5 | 41-50.5 | 51-55.5 | 56-60.5 | 61-70.5 |

No. of persons | 5 | 16 | 12 | 26 | 14 | 12 | 6 | 5 |

Compute mean deviation from mean of the following distribution:

Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 |

No. of students | 8 | 10 | 15 | 25 | 20 | 18 | 9 | 5 |

Find the mean deviation from the mean for the following data:

Classes | 95-105 | 105-115 | 115-125 | 125-135 | 135-145 | 145-155 |

Frequencies | 9 | 13 | 16 | 26 | 30 | 12 |

Find the mean deviation from the mean for the following data:

Classes | 0-100 | 100-200 | 200-300 | 300-400 | 400-500 | 500-600 | 600-700 | 700-800 |

Frequencies | 4 | 8 | 9 | 10 | 7 | 5 | 4 | 3 |