Question

Observing the given data : 28,18,20,24,27,30 and 15
Quartile deviation is

Answer 1

Answer:

28,18,20,24,27,30,15

Answer 2

Given:

the given data : 28,18,20,24,27,30 and 15

To Find:

Quartile deviation

Step-by-step explanation:

• Quartile Deviation can be defined mathematically as half of the difference between the upper and lower quartile. so first arrange the data in ascending order $15,18,20,24,27,28,30$$(Q3-Q1)/2=(28-18)/2=10/2=5$
• and in this formula we divide the group of data into four equal parts using $Q1,Q2 ,Q3$
• $Q1 = [(n+1)/4]th item$ and $Q3 = [3(n+1)/4]th item$
• So we get $Q1=(7+1)/4=2th$ and $Q3=3\times8/4=6th$
• $Q1=18$ and $Q3=28$
• Quartile deviation is $(Q3-Q1)/2=(28-18)/2=10/2=5$

The final answer is 5.