Question 1
The following distribution gives the daily income of 50 workers of a factory.
$\begin{matrix} D a i l y i n c o m e (i n R s) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f w o r k e r s & 12 & 14 & 8 & 6 & 10 \end{matrix}$
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

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Solution

We can find frequency distribution table of less than type as following –
$\begin{matrix} D a i l y i n c o m e (i n R s) (u p p e r c l a s s l i m i t s) & C u m u l a t i v e f r e q u e n c y L e s s t h a n 120 & 12 L e s s t h a n 140 & 12 + 14 = 26 L e s s t h a n 160 & 26 + 8 = 34 L e s s t h a n 180 & 34 + 6 = 40 L e s s t h a n 200 & 40 + 10 = 50 \end{matrix}$

Now, taking upper-class limits of class intervals on x-axis and their respective frequencies on y-axis we can draw its ogive as follows -

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Question 2
Consider the following distribution of daily wages of 50 worker of a factory.

$\begin{matrix} Daily wages (in Rs) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Number of workers & 12 & 14 & 8 & 6 & 10 \end{matrix}$

Find the mean daily wages of the workers of the factory by using an appropriate method.

Q. The following distribution gives the daily income of

50

workers of a factory.

Daily income (in Rupees)	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$	$450 - 500$
Number of workers	$12$	$14$	$8$	$6$	$10$

Convert the above distribution to a less than type cumulative frequency distribution and draw its ogive.

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Ogive of More Than Type

Standard X Mathematics

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Question 1 The following distribution gives the daily income of 50 workers of a factory. Daily income (in Rs)100−120120−140140−160160−180180−200Number of workers 12148610 Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.