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
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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