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Dropdown 1: 480
Dropdown 2: 9 and 14
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
63% (03:05) correct
37%
(03:31)
wrong
based on 92
sessions
History
Date
Time
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Not Attempted Yet
Twenty delivery vans were tracked over a 10-day period. The histogram summarizes the total distance traveled by each van during that period. The first bar represents vans that traveled more than 100 kilometers but no more than 200 kilometers, the second represents vans that traveled more than 200 kilometers but no more than 300 kilometers, and so on.
Complete each statement by selecting the option best supported by the histogram.
The greatest possible value of the mean total distance traveled by the 20 vans during the 10-day period is kilometers.
The number of vans that traveled an average of more than 35 kilometers per day during the 10-day period is between Select , inclusive.
Attachment:
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Official Answer
Dropdown 1: 480
Dropdown 2: 9 and 14
27 Aug 2026, 04:30
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Bunuel
Official Solution:
Drop-down 1:
To maximize the mean, use the greatest possible total distance in each interval. Since the upper endpoint of each interval is included, these values are 200, 300, 400, 500, 600, 700, 800, and 900 kilometers.
Using the number of vans in each interval:
2 * 200 + 4 * 300 + 5 * 400 + 3 * 500 + 2 * 600 + 0 * 700 + 3 * 800 + 1 * 900 = 9,600
Therefore, the greatest possible mean is:
9,600/20 = 480
The correct selection is 480.
Drop-down 2:
An average of more than 35 kilometers per day over 10 days corresponds to a total distance of more than:
35 * 10 = 350 kilometers.
The intervals entirely above 350 kilometers contain:
3 + 2 + 0 + 3 + 1 = 9 vans
So at least 9 vans definitely traveled an average of more than 35 kilometers per day.
There are also 5 vans in the interval containing totals greater than 300 kilometers but no more than 400 kilometers. We do not know their exact distances, so anywhere from 0 to all 5 of these vans could have traveled more than 350 kilometers.
Therefore, the number of vans that traveled an average of more than 35 kilometers per day can range from:
9 to 9 + 5 = 14
inclusive.
The correct selection is 9 and 14.
Correct answer:
Drop-down 1: "480"
Drop-down 2: "9 and 14"
General Discussion
25 Aug 2026, 06:59
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1 - Greatest possible will be = (400+1200+2000+1500+1200+2400+900)/20 =480
2 - All vans above 400 will have 35 or more average, so that will be 9
Vans between 300-400 may all have 300 distance or may all have 400 distance, so that will be 5
Hence the range will be 9 to 14
2 - All vans above 400 will have 35 or more average, so that will be 9
Vans between 300-400 may all have 300 distance or may all have 400 distance, so that will be 5
Hence the range will be 9 to 14
