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Study the given table and answer the question that follows. The given table shows the production of three types of cars (A, B, and (C) manufactured (i
Question

Study the given table and answer the question that follows. The given table shows the production of three types of cars (A, B, and (C) manufactured (in thousands) by an automobile company over the years. For all the years from 2015 to 2018, the average production of B-type cars is how much less (in thousands) than that of the combined average production of A-type and C-type cars?

Year
A
B
C
2015
840
680
890
2016
900
750
960
2017
760
620
1000
2018
800
540
1200

A.

238.5

B.

271.25

C.

314.75

D.

284.55

Correct option is B

Formula Used:
Average production = Total production over the yearsNumber of years\frac{\text{Total production over the years}}{\text{Number of years}}​​
Solution:
Average production of B-type cars:
Average of B=680+750+620+5404=25904=647.5 (in thousands)\text{Average of B} = \frac{680 + 750 + 620 + 540}{4} = \frac{2590}{4} = 647.5 \, \text{(in thousands)}​​
Combined average production of A-type and C-type cars:
Total production of A-type cars: 840 + 900 + 760 + 800 = 3300
Total production of C-type cars: 890 + 960 + 1000 + 1200 = 4050
Combined total of A and C: 3300 + 4050 = 7350
Combined average of A and C=73508=918.75 (in thousands)\text{Combined average of A and C} = \frac{7350}{8} = 918.75 \, \text{(in thousands)}​​
Now,
Difference=918.75647.5=271.25 (in thousands)\text{Difference} = 918.75 - 647.5 =\bf 271.25 \, \text{(in thousands)}​​
​​

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