Find the mode for the following frequency table.
Wages(Rs.) $250$ $300$ $350$ $400$ $450$ $500$
Number of workers $10$ $15$ $16$ $12$ $11$ $13$

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Solution

Wages(Rs.) Number of workers
$250$ $10$
$300$ $15$
$350$ $16$
$400$ $12$
$450$ $11$
$500$ $13$
We observe from the table that the maximum frequency is $16$ . The value of the variate(wage) corresponding to the maximum frequency $16$ is $350$ . This is the mode of the given data.

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50

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

50

Daily wages in Rupees	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$
Number of workers	$6$	$8$	$14$	$10$	$12$

Expenditure (in rupees) (x_i)	Frequency (f_i)	Expenditure (in rupees) (x_i)	Frequency (f_i)
100-150 150-200 200-250 250-300	24 40 33 28	300-350 350-400 400-450 450-500	30 22 16 7

200

332

x

y

Class	$100 - 150$	$150 - 200$	$200 - 250$	$250 - 300$	$300 - 350$	$350 - 400$	$400 - 450$	$400 - 450$	$500 - 550$
Frequency	$4$	$8$	$x$	$42$	$50$	$y$	$32$	$6$	$4$

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Wages(Rs.)	$250$	$300$	$350$	$400$	$450$	$500$
Number of workers	$10$	$15$	$16$	$12$	$11$	$13$