this data represents the number of hamburgers sold over the last 10 days at a restaurant. 34, 37, 41, 51…

this data represents the number of hamburgers sold over the last 10 days at a restaurant. 34, 37, 41, 51, 56, 58, 70, 75, 77, 77 what is the interquartile range? enter the answer in the box. hamburgers sold

this data represents the number of hamburgers sold over the last 10 days at a restaurant. 34, 37, 41, 51, 56, 58, 70, 75, 77, 77 what is the interquartile range? enter the answer in the box. hamburgers sold

Answer

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: 34, 37, 41, 51, 56, 58, 70, 75, 77, 77.

Step2: Find the median (Q2)

Since there are (n = 10) data points, the median is the average of the 5th and 6th ordered values. (Q2=\frac{56 + 58}{2}=57).

Step3: Find Q1

The lower - half of the data is 34, 37, 41, 51, 56. Since there are 5 data points, the median of the lower - half (Q1) is the 3rd value. So (Q1 = 41).

Step4: Find Q3

The upper - half of the data is 58, 70, 75, 77, 77. Since there are 5 data points, the median of the upper - half (Q3) is the 3rd value. So (Q3=75).

Step5: Calculate the inter - quartile range (IQR)

(IQR=Q3 - Q1). Substitute (Q1 = 41) and (Q3 = 75) into the formula. (IQR=75−41 = 34).

Answer:

34