Question

question
the five number summary for a set of data is given below.
min q1 median q3 max
74 76 81 84 90
what is the interquartile range of the set of data?
select the correct answer below:
○ 6
○ 8
○ 18
○ 0
○ 14

Explanation:

Step1: Recall IQR formula

The interquartile range (IQR) is calculated as \( IQR = Q3 - Q1 \).

Step2: Identify Q1 and Q3

From the five - number summary, \( Q1 = 76 \) and \( Q3 = 84 \).

Step3: Calculate IQR

Substitute the values of \( Q1 \) and \( Q3 \) into the formula: \( IQR=84 - 76=8 \).

Answer:

8