Question

What is the interquartile range of the following data set? 45,12,48,96,61,84,29,1,72,5,14

Answer 1

Answer: 60

Step-by-step explanation: Apex said so

Answer 2

60

Explanation:

Population size : 11

To calculate inter-quartile range

• Order the data from least to greatest.

• Find the median.

• Calculate the median of both the lower and upper half of the data.

• The IQR is the difference between the upper and lower medians.

Step 1

1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96

Step 2

medium = 45

Step 3

Q1

1 , 5 , 12 ,14 , 29

median = 12

Q3

48 , 61 , 72 , 84 , 96

median = 72

Step 4

IQ = Q3 - Q1

= 72 - 12

= 60