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 65 70 75 80 85 90 95 100 105 110 115 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 box - plot concepts

The range is the difference between the maximum and minimum values. The inter - quartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1).

Step2: Analyze cracker data

For crackers: Minimum value is around 70, maximum value is around 110. Range of crackers = 110 - 70=40.

Step3: Analyze trail - mix data

For trail - mix: Q1 is around 90, Q3 is around 105. IQR of trail - mix = 105 - 90 = 15. So, the IQR of trail - mix is less than the range of crackers.

Step4: Check for outliers

The value 70 is not an outlier in the trail - mix data. Outliers are typically outside 1.5×IQR below Q1 or above Q3 for trail - mix.

Step5: Compare quartiles and maximums

The upper quartile of trail - mix (around 105) is not equal to the maximum value of crackers (around 110).

Step6: Compare variations

The range of trail - mix is from around 70 to 115, so range of trail - mix = 115 - 70 = 45. The range of crackers is 40. Also, the spread of the box and whiskers for trail - mix is wider. So, the number of calories in the packs of trail - mix have a greater variation than the number of calories in the packs of crackers.

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.