If the values of Bowley’s coefficient of skewness, third quartile and first quartile are 0.5, 10 and 5, respectively, then the value of the second quartile is:
25/4
Bowley's coefficient of skewness is given by the formula:
Sk = (Q3 + Q1 - 2 * Q2) / (Q3 - Q1), where Q3 is the third quartile, Q1 is the first quartile, and Q2 is the second quartile (median).
Given that Sk = 0.5, Q3 = 10, and Q1 = 5, we can solve for Q2:
0.5 = (10 + 5 - 2 * Q2) / (10 - 5)
0.5 = (15 - 2 * Q2) / 5
2.5 = 15 - 2 * Q2
2 * Q2 = 12.5
Q2 = 12.5 / 2 = 6.25.
The correct value of the second quartile is approximately 25/4, which is the answer choice 4.
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