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.

Question

Amount of Sodium in Yogurt
Strawberry Vanilla
Minimum 100 80
Q 1 130 120
Median 185 165
Q 3 210 195
Maximum 220 230

Question
Which flavor has the greatest variation in sodium levels?

Answer options with 4 options
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

Answer 1

To determine which flavor has the greatest variation in sodium levels, we can look at the range of sodium levels for both types of yogurt. The range is calculated as the difference between the maximum and minimum values.

For Strawberry Yogurt:

• Maximum: 220 mg
• Minimum: 100 mg
• Range: 220 - 100 = 120 mg

For Vanilla Yogurt:

• Maximum: 230 mg
• Minimum: 80 mg
• Range: 230 - 80 = 150 mg

Now, we can compare the ranges:

• The range for Strawberry Yogurt is 120 mg.
• The range for Vanilla Yogurt is 150 mg.

Since 150 mg (Vanilla) is greater than 120 mg (Strawberry), the variation in sodium levels is greater for the vanilla yogurt.

Therefore, the correct answer is:

A. vanilla, because the range is larger.