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13 Jan 2025, 11:54
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
100% (02:19) correct
0% (00:00) wrong based on 2 sessions
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Approximately what was the average (arithmetic mean) electric energy cost per month for the first half of the year?
(A) $45
(B) $50
(C) $60
(D) $70
(E) $75
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17 Jan 2025, 10:01
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OE
There are two ways to approximate average electric energy cost per month in the first half of the year.
One way is to use the electric energy costs on the chart and compute the average for the first six months, using the light gray circular data points:
Approximate average cost =
\(\frac{70+65+55+47+47+70+}{6} = \frac{354}{6} = 59\)
Answer choice (C) $60 is closest.
The other method is more visual. Consider choice (A), $45, and imagine a horizontal line at $45. All six cost data points for the first half of the year are above this horizontal line, so the average must be more than $45. Similarly, imagine a horizontal line at $75 for choice (E). All six cost data points for the first half of the year are below this horizontal line, so the average must be less than $75. When a horizontal line at $60 is considered, the six cost data points “balance”: three are above the line and three are below, by approximately the same amount.
There are two ways to approximate average electric energy cost per month in the first half of the year.
One way is to use the electric energy costs on the chart and compute the average for the first six months, using the light gray circular data points:
Approximate average cost =
\(\frac{70+65+55+47+47+70+}{6} = \frac{354}{6} = 59\)
Answer choice (C) $60 is closest.
The other method is more visual. Consider choice (A), $45, and imagine a horizontal line at $45. All six cost data points for the first half of the year are above this horizontal line, so the average must be more than $45. Similarly, imagine a horizontal line at $75 for choice (E). All six cost data points for the first half of the year are below this horizontal line, so the average must be less than $75. When a horizontal line at $60 is considered, the six cost data points “balance”: three are above the line and three are below, by approximately the same amount.
