Question

Calculate interquartile range and semiquartile range for the following data:
11,15,16,9,14,19,10,12,8,17,20,23,22​

Answer 1

Answer:

Arranging the observations in ascending order we get 6,7,9,12,14,20,23,32,36,42

Median =Q2= 14+20/2= 17

The median of the numbers to the left of Q2=Q1=9

The median of the numbers to the right of Q2=Q3=32.

Semi interquartile range = Q3−Q1 /2

= 32−9 / 2

=11.5

Step-by-step explanation:

The semi-interquartile range of a distribution is half the difference between the upper and lower quartiles, or half the interquartile range.