Question

shop 1: shop 2: 40 45 50 55 60 65 70 75 80 85 90 number of customers which statement best describes the data represented in the box plots? a the range of customers for shop 1 is 50. b for half the days at shop 2, the number of customers was less than 50. c for half the days at shop 1, the number of customers was between 50 and 80 d the range of customers for shop 2 is 50.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Analyze Shop 1

For Shop 1, minimum is around 45 and maximum is around 85. Range = 85 - 45=40. So option A is wrong.

Step3: Analyze Shop 2 median

The median of Shop 2 is around 60. So it's not true that for half the days the number of customers was less than 50. Option B is wrong.

Step4: Analyze Shop 1 inter - quartile range

The first quartile ($Q_1$) of Shop 1 is 50 and the third quartile ($Q_3$) is 80. The inter - quartile range (IQR) represents the middle 50% of the data. So for half the days at Shop 1, the number of customers was between 50 and 80. Option C is correct.

Step5: Analyze Shop 2 range

For Shop 2, minimum is around 45 and maximum is around 90. Range = 90 - 45 = 45. So option D is wrong.

Answer:

C. For half the days at Shop 1, the number of customers was between 50 and 80