The following distribution gives the daily income of $50$ workers of a factory.
Daily income (in Rs.)$100-120$$120-140$$140-160$$160-180$$180-200$
Number of workers$12$$14$$8$$6$$10$

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

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(N/A) The frequency distribution table of less than type is as follows:
Daily income (in Rs.) (upper class limits)Cumulative frequency
Less than $120$$12$
Less than $140$$12 + 14 = 26$
Less than $160$$26 + 8 = 34$
Less than $180$$34 + 6 = 40$
Less than $200$$40 + 10 = 50$

Taking upper class limits of class intervals on the $x$-axis and their respective cumulative frequencies on the $y$-axis,the ogive is drawn by plotting the points $(120, 12), (140, 26), (160, 34), (180, 40),$ and $(200, 50)$ and joining them with a smooth curve.

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Consider the following distribution of daily wages of $50$ workers of a factory.
$\begin{array}{|l|c|c|c|c|c|} \hline \text{Daily wages (in Rs.)} & 100-120 & 120-140 & 140-160 & 160-180 & 180-200 \\ \hline \text{Number of workers} & 12 & 14 & 8 & 6 & 10 \\ \hline \end{array}$
Find the mean daily wages of the workers of the factory by using an appropriate method.

$A$ student noted the number of cars passing through a spot on a road for $100$ periods each of $3\, \text{minutes}$ and summarized it in the table given below. Find the mode of the data:
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The following table gives the production yield per hectare of wheat of $100$ farms of a village.
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$55-60$$8$
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Change the distribution to a 'more than type' distribution,and draw its ogive.

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