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Ogive of Less Than Type

The given dis...

Question

The given distribution shows the number of wickets taken by the bowlers in one-day international cricket matches:

$\begin{matrix} N u m b e r o f w i c k e t s & L e s s t h a n 15 & L e s s t h a n 30 & L e s s t h a n 45 & L e s s t h a n 60 & L e s s t h a n 75 & L e s s t h a n 90 & L e s s t h a n 105 & L e s s t h a n 120 N u m b e r o f b o w l e r s & 2 & 5 & 9 & 17 & 39 & 54 & 70 & 80 \end{matrix}$

Draw a 'less than type' ogive from the above data.Find the median.

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Solution

Taking upper class limits of class intervals on x-axis and their respective frequencies on y-axis, its ogive can be drawn as follows:

Here, N=80,

⇒ $\frac{N}{2}$ =40

Mark the point A whose ordinate is 40 and its x-coordinate is 76 .

The median of the data is 76.

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Ogive of Less Than Type

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