Question

unit 1 lesson 5 additional practice problem set. the data set represents the number of books read by individual students over the previous year. 4 5 8 9 10 10 11 11 12 13. a. what is the median? interpret this value in the situation. b. what is the iqr?

Explanation:

Step1: Arrange data in ascending order

4, 5, 8, 9, 10, 10, 11, 11, 12, 13

Step2: Find the median (Q2)

There are n = 10 data - points. The median is the average of the 5th and 6th ordered values. So, $Q2=\frac{10 + 10}{2}=10$.

Step3: Find the lower half of the data

The lower - half is 4, 5, 8, 9, 10. The median of the lower - half (Q1) is 8.

Step4: Find the upper half of the data

The upper - half is 10, 11, 11, 12, 13. The median of the upper - half (Q3) is 11.

Step5: Calculate the IQR

$IQR = Q3−Q1=11 - 8 = 3$.

Answer:

3