Question

question 1 of 14 what is the interquartile range (iqr) of this data set? 3,4,8,11,14,15,16 a. 11 b. 13 c. 3 d. 8

Explanation:

Step1: Find the median (Q2).

The data - set has 7 values. The median is the 4th value when the data is in ascending order. So, Q2 = 11.

Step2: Find the lower half of data.

The lower half is 3, 4, 8. The median of this lower - half (Q1) is 4.

Step3: Find the upper half of data.

The upper half is 14, 15, 16. The median of this upper - half (Q3) is 15.

Step4: Calculate the IQR.

IQR=Q3 - Q1. So, IQR = 15 - 4=11.

Answer:

A. 11