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

Number of wickets Less than 15 Less than 30 Less than 45 Less than 60 Less than 75 Less than 90 Less than 105 Less than 120

Number of bowlers 2 5 9 17 39 54 70 80

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 $\Rightarrow \frac{N}{2} = 40$ .

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

Thus, median of the data is 76.

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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.

For the following distribution draw a 'less than type' ogive and from the curve find the median.

Marks obtained	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60	Less than 70	Less than 80	Less than 90	Less than 100
Number of students	2	7	17	40	60	82	85	90	100

Q. Calculate the median from the following data:

Marks	Frequency
Less than 10	5
Less than 20	20
Less than 30	45
Less than 40	80
Less than 50	100
Less than 60	115
Less than 70	125
Less than 80	130

Q. Calculate mode from the following data:

Wages (₹)	Number of Workers
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80	15 35 60 84 96 127 198 250

Q. The following table gives the heights (in metres) of 360 trees:

Height	Number of trees
Less than 7 m Less than 14 m Less than 21 m Less than 28 m Less than 35 m Less than 42 m Less than 49 m Less than 56 m	25 45 95 140 235 275 320 360

From the above data, draw an ogive and find the median.

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Number of wickets	Less than 15	Less than 30	Less than 45	Less than 60	Less than 75	Less than 90	Less than 105	Less than 120
Number of bowlers	2	5	9	17	39	54	70	80

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 ⇒N2=40. Mark the point A whose ordinate is 40 and its x−coordinate is 76. Thus, median of the data is 76.

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 $\Rightarrow \frac{N}{2} = 40$ .

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

Thus, median of the data is 76.