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Question
use the information to answer the question.
a nutritionist compares the amount of sodium in strawberry yogurt and vanilla yogurt. she gathers data on the amount of sodium, in milligrams, per container of strawberry yogurt and vanilla yogurt from many different brands. the summary statistics are shown in the table.
amount of sodium in yogurt
| strawberry | vanilla | |
|---|---|---|
| q1 | 130 | 120 |
| median | 185 | 165 |
| q3 | 210 | 195 |
| maximum | 220 | 230 |
which flavor has the greatest variation in sodium levels?
a. vanilla, because the range is larger
b. vanilla, because the minimum is smaller
c. strawberry, because the median is larger
d. strawberry, because the maximum is smaller
Step1: Calculate range for strawberry yogurt
Range = Maximum - Minimum. For strawberry yogurt, range = $220 - 100=120$.
Step2: Calculate range for vanilla yogurt
For vanilla yogurt, range = $230 - 80 = 150$.
Step3: Compare ranges
Since $150>120$, vanilla yogurt has a larger range.
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A. vanilla, because the range is larger