Find D6 for the following observations. 7,9, 5, 4, 10, 15, 14. 18. 6. 20
Answers
Answer:
14.7
Step-by-step explanation:
arrange in ascending order
4,5,6,7,9,10,14,15,18,20
decile 7
formula N(n+1)/10
7(11)/10
7.7
14+.7(15-14)
14.7
Answer:
The value of D₆ = 12.4
Step-by-step explanation:
Given observations are
7, 9, 5, 4, 10, 15, 14, 18, 6, 20
write the observation in ascending order
4, 5, 6, 7, 9, 10, 14, 15, 18, 20
Here no. of values in the observation = n = 10
Formula for finding D₆
D₆ = value of 6[(n+1)/10]th observation
= value of 6[(10+1)/10]th observation
= value of 6(1/10)th observation
= value of 6(1.1)th observation
= value of (6.6)th observation
= value of 6th observation+0.6( 7th observation - 6th observation)
= 10 + 0.6 (14-10)
= 10 + 0.6 (4)
= 10 + 2.4
= 12.4
Hence , the value of D₆ = 12.4
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