Calculate the average income of workers using direct method:

Workers
4
6
8
10
12
Weekly Income
300
500
700
800
900

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

10 rupees

9 rupees

8 rupees

7 rupees

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- Mean is average. Thus, in order to answer this question, we must determine the average income, which necessitates determining the mean income of workers. Since the method to be used to determine the average income has already been mentioned, we must apply the direct method, which is given as the mean=sum of full observations divided by total number of observations, to calculate the average or mean income. This formula is translated into

x ¯ = ∑ f i x i ∑ f i x

for a frequency table.
We must now use the direct method to determine the mean income of workers in accordance with the query.
The direct technique for mean is denoted by the formula:

x ¯ = ∑ f i x i ∑ f i x

Where xi is the number of workers multiplied by the frequency fi of weekly income, and xi is the total number of workers for the given data, and x is the mean.
Now, from the information in the question, we need to construct a table to apply the direct formula in order to find the average or mean income. So, the table will be:

Workers(xi)	Weekly Income (fi)	fixi
4	300	1200
6	500	3000
8	700	5600
10	800	8000
12	900	10800
	∑fi = 3200	∑fi xi = 28600

Clearly, from the table we have the values for ∑fi is ₹3200, and ∑fi xi is ₹ 28600, so putting these values in the formula for mean by direct method, we will get the mean or average income of workers as: