AnswersPre-Algebra BMultiple SamplesQuestion 8
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Multiple Samples

Question 8 • Pre-Algebra B

The table displays the number of butterflies collected in a sample over three years. What inferences can be made from the samples taken on butterfly populations? Select three choices.Louden County Butterfly CountYear 1Year 2Year 3Zebra Swallowtail21Zebra Swallowtail10Zebra Swallowtail10Viceroy3Viceroy4Viceroy3Painted Lady2Painted Lady0Painted Lady16Monarch82Monarch52Monarch57

Answer
A
The average number of monarchs over all three samples is less than the number of monarchs counted in year 3.
B
The Viceroy population remained fairly steady over the three years recorded.
C
The average number of Zebra Swallowtails over all three samples will be less than the number recorded in year 1.
D
If a population is increasing over time, the average will be less than the most recent count.
E
There was a mistake in the sample for year 3 as the Painted Ladies were extinct in year 2.

Explanation

The Viceroy counts were 3, 4, and 3, so they remained fairly steady (B). The Zebra Swallowtail average was (21 + 10 + 10) ÷ 3 = 13⅔, which is less than the year 1 count of 21 (C). When a population increases over time, the most recent count is greater than the earlier counts, so the average is less than that most recent count (D).

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