Question

The manager of a tire store asked customers how many miles they drove last week. The histogram shows the data collected.

Miles driven last week; Distance, miles; number of customers.

Based on the histogram, which statement must be true?

A
The number of customers who drove 150 miles or more is the same as the number of customers who drove less than 150 miles.
B
More customers drove 50 miles than drove any other distance.
C
The number of customers who drove 50 to 99 miles is less than the number of customers who drove 200 miles or more.
D
More customers drove 30 miles than drove any other distance.

Answer 1

I can’t see the histogram you’re referring to. Could you either upload the histogram image or type the bin ranges and counts (for example: 0–29: 3, 30–49: 6, 50–99: 8, 100–149: 5, 150–199: 4, 200+: 2)?

If you prefer to check yourself, here’s how to decide each choice:

- A: Add the counts for all bins ≥150 and compare to the sum of counts for all bins <150. If they are equal, A is true.
- B: Look at the bar for “50” (or the 50–99 bin). If its height is higher than every other bar, B is true.
- C: Compare the count for the 50–99 bin to the count for the 200+ bin. If 50–99 is smaller, C is true.
- D: Look at the bar for “30” (or the 30–49 bin). If its height is higher than every other bar, D is true.

Send the histogram or the counts and I’ll tell you which statement must be true.