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carcass
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carcass
AVERAGE COSTS OF OPERATING SUBCOMPACT, COMPACT, AND MIDSIZE CARS IN THE UNITED STATES, 1982~1986



For each of the years shown, the average cost per mile of operating a compact car minus the average cost per mile of operating a subcompact car was between

(A) $0.12 and $0.18

(B) $0.10 and $0.15

(C) $0.09 and $0.13

(D) $0.06 and $0.12

(E) $0.05 and $0.08


Here in this questions we need to look into the bar chart for difference in blank white bar and black bar values for every year ... and then get the lowest and highest difference values.... and check in answer option which one satisfy.
IMO D
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carcass
AVERAGE COSTS OF OPERATING SUBCOMPACT, COMPACT, AND MIDSIZE CARS IN THE UNITED STATES, 1982~1986



For each of the years shown, the average cost per mile of operating a compact car minus the average cost per mile of operating a subcompact car was between

(A) $0.12 and $0.18

(B) $0.10 and $0.15

(C) $0.09 and $0.13

(D) $0.06 and $0.12

(E) $0.05 and $0.08

We see that for compact cars, the average costs are:

0.45, 0.44, 0.48, 0.48, 0.49

We see that for subcompact cars, the corresponding average costs are:

0.33, 0.33, 0.36, 0.40, 0.40

Thus, the differences between the average costs of compact cars and subcompact cars are:

0.12, 0.11, 0.12, 0.08, 0.09

These differences are between the values of 0.06 and 0.12.

Answer: D
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amanvermagmat
Average cost per mile for a compact car = (0.45+0.45+0.45+0.48+0.49)/5 = 0.48

Average cost per mile for a sub-compact car = (0.33+0.33+0.36+0.4+0.4)/5 = 0.364

Difference = 0.48-0.364 = 0.116

This lies in the range given in D, which is thus the answer


hey amanvermagmat

here is my solution I dont get why I am getting wrong answer

Average cost per mile for a compact car 0,45 +0,44+ 0,48+ 0,47 +0,49/ 5 = 0.283 approx 280

Aver1age cost per mile for a sub-compact car 0.33+0.33+36+40+40/5 = 0.182

0.280-0.182 = 0.41

how on earth you calculate differently ? :) pls explain i really dont get

thanks!:)
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Estimate:

1982: .45 - .32 = .13
1983: .45 - .33 = .12
1984: .48 - .37 = .11
1985: .47 - .40 = .07
1986: .49 - .40 = .09

The min I get is .07. The max I get is .13. This leaves on choices C and D on the table. The min of C is .09 which is much higher than .07 so through POE, I would choose D.
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amanvermagmat
Average cost per mile for a compact car = (0.45+0.45+0.45+0.48+0.49)/5 = 0.48

Average cost per mile for a sub-compact car = (0.33+0.33+0.36+0.4+0.4)/5 = 0.364

Difference = 0.48-0.364 = 0.116

This lies in the range given in D, which is thus the answer


hey amanvermagmat

here is my solution I dont get why I am getting wrong answer

Average cost per mile for a compact car 0,45 +0,44+ 0,48+ 0,47 +0,49/ 5 = 0.283 approx 280

Aver1age cost per mile for a sub-compact car 0.33+0.33+36+40+40/5 = 0.182

0.280-0.182 = 0.41

how on earth you calculate differently ? :) pls explain i really dont get

thanks!:)

Keep in mind that you only have 2 minutes to solve a question. If this approach works for you, then great, but I would recommend estimating the averages for each year to solve this problem. It's a 40 second solution at best.

Anyhow, (0,45 +0,44+ 0,48+ 0,47 +0,49)/ 5 = 0.46 approximately, not .283. Same issue applies to the second calc you listed, your totals are wrong.
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amanvermagmat
Average cost per mile for a compact car = (0.45+0.45+0.45+0.48+0.49)/5 = 0.48

Average cost per mile for a sub-compact car = (0.33+0.33+0.36+0.4+0.4)/5 = 0.364

Difference = 0.48-0.364 = 0.116

This lies in the range given in D, which is thus the answer


hey amanvermagmat

here is my solution I dont get why I am getting wrong answer

Average cost per mile for a compact car 0,45 +0,44+ 0,48+ 0,47 +0,49/ 5 = 0.283 approx 280

Aver1age cost per mile for a sub-compact car 0.33+0.33+36+40+40/5 = 0.182

0.280-0.182 = 0.41

how on earth you calculate differently ? :) pls explain i really dont get

thanks!:)

Instead if adding up all the subcompact and compact cost per miles , you can take the difference individually (as in Solns posted above)as the Q stem asks for "For each of the year"?
It could save you time and calculation mistakes IMO.
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Anyone else feel like this is a terrible question? The approach is pretty obvious, so the only thing that can trip you up is making slightly inaccurate guesses based on a bar graph with too little scale detail.
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jvdunn26
Anyone else feel like this is a terrible question? The approach is pretty obvious, so the only thing that can trip you up is making slightly inaccurate guesses based on a bar graph with too little scale detail.


i made an error in guessing the values, its very difficult to be accurate in such types of questions. There is always a scope of error present.
The least difference i got was .08 hence I marked the answer as C , is there any other way to tackle this?
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carcass
AVERAGE COSTS OF OPERATING SUBCOMPACT, COMPACT, AND MIDSIZE CARS IN THE UNITED STATES, 1982~1986



For each of the years shown, the average cost per mile of operating a compact car minus the average cost per mile of operating a subcompact car was between

(A) $0.12 and $0.18

(B) $0.10 and $0.15

(C) $0.09 and $0.13

(D) $0.06 and $0.12

(E) $0.05 and $0.08
­We are estimating the readings from the line graph since 1 smallest division is 0.01 unit but unique scales are not given. Anyways, if we take the average of compact and subcompact cars, they will be roughly 0.47 and 0.374 units. Their difference will be 0.096 units. Option (C) and (D) are our choices now.

Now, if we take year-wise differences then they will be roughly 0.1, 0.1, 0.11, 0.08, 0.09. We can see none of the values go below 0.09 so we can ignore (D) now. Option (C) is correct.
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