In a data distribution, the first quartile, the median and the mean are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is -0.38. What is the value for the third quartile?
Answers
Answered by
0
Given : In a data distribution, the first quartile, the median and the mean are 30.8, 48.5 and 42.0 respectively. the coefficient skewness is -0.38
To find : value for the third quartile?
Solution:
Q1 = 30.8
Median Q2 = 48.5
Mean = 42
Mean < median hence -ve coefficient skewness
coefficient skewness = (Q1 + Q3 - 2Q2)/(Q3 - Q1)
-0.38 = (30.8 + Q3 - 2(48.5) )/(Q3 - 30.8)
=> -0.38Q3 + 11.704 = 30.8 + Q3 - 97
=> 1.38Q3 = 77.904
=> Q3 = 56.45
value for the third quartile = 56.45
Learn More:
If the first quartile is 142 and the semi-interquartile range is 18, find ...
https://brainly.in/question/13279139
If the third quartile is 30 and median is 22 find the coefficient of ...
https://brainly.in/question/12875627
Similar questions