Problem 14 · 2020 AMC 8
Easy
Arithmetic & Operations
estimate-and-pick
Show answer
Answer: D — Closest to 95,000.
Show hints
Hint 1 of 2
Don't add up 20 bars — the dashed average line already does that work for you. The average is the total spread evenly, so the total is just the average put back across all the cities.
Still stuck? Show hint 2 →
Hint 2 of 2
Read the dashed line (~4,750) and multiply by the 20 cities.
Show solution
Approach: total = average × count (read the line, don't sum the bars)
- The definition of average rearranges to total = average × count, so a single read of the dashed line replaces adding 20 bars. The line sits just below 5,000, around 4,750.
- Total ≈ 4,750 × 20 = 95,000.
- Sanity check: the bars hover roughly in the 4,000–5,000 range, and 5,000 × 20 = 100,000, so an answer near 95,000 is exactly the right size — 65,000 or 105,000 would be too far off.
Mark:
· log in to save