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how many more people spent less than $20 than spent at least $20?

Question

how many more people spent less than $20 than spent at least $20?

Explanation:

Identify the intervals

We need to group the histogram bars into two categories based on the spending threshold of \$20:

  • "Less than \$20" consists of the intervals:
  • \$0.00 - \$9.99
  • \$10.00 - \$19.99
  • "At least \$20" consists of the intervals:
  • \$20.00 - \$29.99
  • \$30.00 - \$39.99

Read values from the histogram

Let's determine the number of people in each interval by reading the height of each bar:

  • For \$0.00 - \$9.99: The bar reaches exactly 80.
  • For \$10.00 - \$19.99: The bar reaches exactly 60.
  • For \$20.00 - \$29.99: The bar reaches exactly 45 (midway between 40 and 50).
  • For \$30.00 - \$39.99: The bar reaches exactly 30.

Calculate total for "less than \$20"

Sum the values of the first two intervals:

$$ \text{Less than \$20} = 80 + 60 = 140 $$

Calculate total for "at least \$20"

Sum the values of the remaining two intervals:

$$ \text{At least \$20} = 45 + 30 = 75 $$

Find the difference

Subtract the "at least \$20" group from the "less than \$20" group:

$$ \text{Difference} = 140 - 75 = 65 $$

Answer:

65