From their research station, Emek and Luna studied two distant moons to decide where to send a mapping probe. They counted craters in six equal-sized regions on each moon. Moon A had 12, 14, 14, 15, 16, and 19 craters. Moon B had 9, 13, 15, 15, 18, and 21 craters. Emek and Luna displayed both sets of data on line plots. They noticed that 14 was the most common count for Moon A, while 15 was the most common for Moon B. Then they compared the spreads. Moon A's counts ranged from 12 to 19, a spread of 7, while Moon B's ranged from 9 to 21, a spread of 12. Because Moon A's crater counts were grouped more closely together, they decided its surface was more consistently cratered and sent the mapping probe there.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Look for the number that appears most often in each moon's data set.
When Emek and Luna compare the line plots, which statement correctly describes the most common crater counts?
Both moons have a most common count of 14 craters.Moon A has a most common count of 14 craters, and Moon B has a most common count of 15 craters.Moon A has a most common count of 15 craters, and Moon B has a most common count of 14 craters.Neither moon has a crater count that occurs more than once.Correct. The count 14 appears twice for Moon A, while 15 appears twice for Moon B.
Count how many times each crater count appears in the data for each moon.
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Hint
Add the six counts for Moon A and the six counts for Moon B, then find the difference between the totals.
Emek adds the crater counts from all six regions on each moon. How many more craters were counted on the moon with the greater total?
Correct. The two totals differ by only 1 crater.
Find each moon's total crater count first, then subtract the smaller total from the larger total.
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Hint
Consistency is about how closely grouped the values are, not just the total.
Moon A and Moon B have nearly the same total number of craters across their six regions. Why did Emek and Luna still consider Moon A more consistently cratered?
Moon A had the larger maximum crater count.Moon A had more regions than Moon B.Moon A had a smaller spread, so its regional crater counts were closer together.Moon A had exactly the same crater count in every region.Correct. Moon A's spread is smaller, showing that its crater counts vary less from region to region.
Compare how far apart the smallest and largest crater counts are for each moon.
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