Question

The semi-interquartile range of the data $3,6,5,4,2,1,7$ is

• A. $4$
• B. $3$
• C. $2$
• D. $1$

Answer 1

Answer: (C)

$2$

Arrange in increasing order $1,2,3,4,5,6,7$.

$4$ is the median, lower quartile $=2$; upper quartile $=6$

Semi-interquartile range $=\frac{\left(\text{Upper quartile - Lower quartile}\right)}{2}=\frac{(6-2)}{2}=2$