🇺🇸 AMC 8 ⇄ switch contest
2008 AMC 8

Problem 8

Problem 8 · 2008 AMC 8 Easy
Arithmetic & Operations average

Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?

Figure for AMC 8 2008 Problem 8
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Answer: D — $80.
Show hints
Hint 1 of 2
Read the four bar heights off the graph first — the average is the level line that would hold the same total.
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Hint 2 of 2
Average = total ÷ how many; with round bar values you can pair them up to add fast.
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Approach: sum the bars ÷ 4
  1. Heights: Jan 100, Feb 60, Mar 40, Apr 120. Pair the friendly ones: 100 + 120 = 220 and 60 + 40 = 100, so the total is 320.
  2. Average over 4 months: 320 ÷ 4 = 80.
  3. Sanity check: 80 is the "flat line" that would replace all four bars with the same total — it sits between the high and low bars, as an average must.
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