Find out quartile deviation and coefficient of quartile deviation of the following
28, 18, 20, 24, 30, 15, 47, 27
Answers
Quartile Deviation is 5.5
Coefficient of quartile deviation is 0.229
Explanation:
- First we arranged the data in the ascending order:
15, 18, 20, 24, 27, 28, 30, 47
- Now computing the quartile deviation (QD) and the formula is:
QD = (Quartile 3 - Quartile 1) / 2
- Computing quartile 1 and quartile 3 as:
As there is even number of data (N = 8, which is even), So,
Quartile 1 = 1/ 4 (n + 1)th term
= 1/4 ( 8 + 1)
= 1/4 × 9
= 2.25th term
Quartile 3 = 3/4 (n+1 )th term
= 3/4 (8+ 1)
= 3/4 × 9
= 6.75
- Computing the QD as:
2nd term is 18 and adding to this 0.25 × (20 - 18), which is 0.5, the result is 18.5
6th term is 28 and adding to this 0.75 × (30 - 28), which is 1.5. the result is 29.5
- Using the QD formula as:
QD = (29.5 - 18.5) / 2
= 11 / 2
= 5.5
2. Computing the coefficient of quartile deviation as:
Coefficient of quartile deviation = (Quartile 3 - Quartile 1) / (Quartile 3 + Quartile 1)
- Putting the values of the Quartile 3 and Quartile 1 in the above formula:
Coefficient of quartile deviation = (29.5 - 18.5) / (29.5 + 18.5)
= 11/ 48
= 0.229
Answer:
same answer
Explanation:
i want tell but man tell that why not telling answer