Question

a variety of two types of snack packs are delivered to a store. the box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix. number of calories in each snack pack crackers trail mix which statement is true about the box plots? the interquartile range of the trail mix data is greater than the range of the cracker data the value 70 is an outlier in the trail mix data the upper quartile of the trail mix data is equal to the maximum value of the cracker data the number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers

Explanation:

Step1: Recall range and IQR formulas

Range = Max - Min, IQR = Q3 - Q1

Step2: Analyze cracker data

For crackers, Min = 70, Max = 100, Q1 ≈ 75, Q3 ≈ 85. Range of crackers = 100 - 70 = 30, IQR of crackers = 85 - 75 = 10

Step3: Analyze trail - mix data

For trail - mix, Min = 70, Max = 115, Q1 ≈ 90, Q3 ≈ 105. Range of trail - mix = 115 - 70 = 45, IQR of trail - mix = 105 - 90 = 15

Step4: Evaluate each option

• Option 1: IQR of trail - mix (15) < Range of crackers (30), so this is false.
• Option 2: To check for outliers, we use the 1.5 IQR rule. For trail - mix, 1.5IQR = 1.515 = 22.5, Q1 - 1.5IQR = 90 - 22.5 = 67.5, and 70 is not less than 67.5, so 70 is not an outlier. This is false.
• Option 3: Upper quartile of trail - mix (105) ≠ Maximum value of crackers (100), so this is false.
• Option 4: Range of trail - mix (45) > Range of crackers (30), which means there is greater variation in trail - mix calorie data. This is true.

Answer:

The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.