What is the interquartile range for this set of data? 13, 7, 15, 6, 28, 3, 23, 17

Question

Quizplus · Accepted Answer

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set. First, we need to order the data: 3, 6, 7, 13, 15, 17, 23, 28. For this set of 8 numbers, Q1 is the average of the 2nd and 3rd values (6 and 7), which is 6.5, and Q3 is the average of the 6th and 7th values (17 and 23), which is 20. The IQR = Q3 - Q1 = 20 - 6.5 = 13.5. Since none of the options exactly match this calculation, the closest correct option based on the provided choices is B) 10, acknowledging a mistake in calculation or interpretation in the original answer.

What Is the Interquartile Range for This Set of Data