Question

The weekly wages (in INR) of 30 workers in a factory are: 830,835,890,810,835,836,869,845,898,890,820,860,832,833,855,855,845,804,808,812,840,885,835,836,878,840,868,890,806,840,880
Using tally marks make a frequency table with the intervals as 800-810,810-820,… and so on.

Answer 1

Hint: The question asks us to draw a frequency table for the wages of 30 workers given to us. The frequency of a number is the total number of times a number occurs in a given data point. Keeping this fact in mind we will draw a table to show the point asked to us.

Complete step-by-step answer:
First write the wages separately, the separation is based on listing the numbers less than or equal to 810 and greater than 800, less than or equal to 820 and greater than 810, and so on…
$\Rightarrow$ 806,804,808,810
$\Rightarrow$ 812
$\Rightarrow$ 820
$\Rightarrow$ 830,835,835,836,832, 833,835,836
$\Rightarrow$ 840,845,840,840,845
$\Rightarrow$ 855,855
$\Rightarrow$ 869,868,860
$\Rightarrow$ 878,880
$\Rightarrow$ 885
$\Rightarrow$ 890, 890,898,890
Now we have to list the numbers in tabular form.
We will create a table with three columns, the first for weekly wages, second for the wages that lie on that range and the third for frequency.
First row will be filled by intervals such as 800-810,810,820, and so on… while the second one will be filled by the wages that lie on that range and the third one will be filled by counting the number of datas that are written in the second column for each specific row.
Clearly from the separation we have made earlier the table becomes:

Weekly wages (in INR)	Wages lying on the range	Frequency
800-810	806,804,808,810	4
810-820	812	1
820-230	820	1
830-840	830,835,835,836,832,833,835,836	8
840-850	840,845,840,840,845	5
850-860	855,855	2
860-870	869,868,860	3
870-880	878,880	2
880-890	885	1
890-900	890, 890,898,890	4

Note: While constructing the table, always take care of each number, since the number plays a vital role in these types of problems so counting the numbers and frequency accurately will give us a perfect result for the given question.