Question

1. the list below represents the number of novels written by each of amirs 10 favorite authors.

1 3 3 4 5 7 8 10 12 23
what is the interquartile range of the number of novels written by each of amirs
10 favorite authors?
a. 3
b. 6
c. 7
d. 22

Explanation:

Step1: List data in order

Data: 1, 3, 3, 4, 5, 7, 8, 10, 12, 23 (n=10)

Step2: Find Q1 (25th percentile)

Position: $\frac{25}{100} \times 10 = 2.5$, so average of 2nd and 3rd values: $\frac{3+3}{2}=3$

Step3: Find Q3 (75th percentile)

Position: $\frac{75}{100} \times 10 = 7.5$, so average of 7th and 8th values: $\frac{8+10}{2}=9$

Step4: Calculate IQR = Q3 - Q1

$9 - 3 = 6$

Answer:

B. 6