Question : The table given below shows the production of tea by two companies A and B in 6 years.

Companies A B
Y1 60 75
Y2 80 90
Y3 70 50
Y4 50 40
Y5 45 35
Y6 55 45

What is the sum of the average production of tea by B in years Y1 and Y2 and the average production of tea by A in years Y3 and Y4?

Option 1: 136.5

Option 2: 132.5

Option 3: 142.5

Option 4: 149.5


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: 142.5


Solution : Average of B (Y 1 and Y 2 ) = $\frac{\text{Production B in Y1+Production B in Y2}​}{2}$
Average of A (Y 3 and Y 4 ) = $\frac{\text{Production A in Y3 + Production A in Y4}​}{2}$
Sum of averages = Average of B (Y1 and Y2) + Average of A (Y3 and Y4)
Now, Average B (Y1 and Y2) = $\frac{75+90}{2}$ = $\frac{165}{2}$
Average A (Y3 and Y4) = $\frac{70+50}{2}$ = $\frac{120}{2}$
So, the sum of averages = $\frac{165}{2}+\frac{120}{2}$
= $\frac{285}{2}$
= 142.5
Hence, the correct answer is 142.5.

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