Find out range and coefficient of range of the following series Size 5-10 10-15 15-20 20-25 25-30 Frequency 4 9 8 30 40

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Standard XI

Statistics

Absolute and Relative Measures of Dispersion

Find out rang...

Question

Find out range and coefficient of range of the following series.

$\begin{matrix} Size & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 Frequency & 4 & 9 & 8 & 30 & 40 \end{matrix}$

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Solution

Range = L-S

Here, L = Largest value, S = Smallest value

$∵$ L = 30, S = 5 $∴$ Range = 30 - 5 = 25

Coefficient of Range = $\frac{L - S}{L + S} = \frac{30 - 5}{30 + 5} = \frac{25}{35} = 0.714$

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Find out range and coefficient of range of the following series. Size5−1010−1515−2020−2525−30Frequency4983040

Range = L-S Here, L = Largest value, S = Smallest value ∵ L = 30, S = 5 ∴ Range = 30 - 5 = 25 Coefficient of Range = L−SL+S=30−530+5=2535=0.714

Find out range and coefficient of range of the following series.

$\begin{matrix} Size & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 Frequency & 4 & 9 & 8 & 30 & 40 \end{matrix}$

Range = L-S

Here, L = Largest value, S = Smallest value

$∵$ L = 30, S = 5 $∴$ Range = 30 - 5 = 25

Coefficient of Range = $\frac{L - S}{L + S} = \frac{30 - 5}{30 + 5} = \frac{25}{35} = 0.714$