Question

Given coefficient of skewness is 0.8, Q3 = 85 and Q1 = 40 of a
frequency distribution. The median of the distribution is ......
(a) 44.5
(b) 22 Sue mean-med
(C) 12.5
(d) 42.5​

Answer 1

Answer:

The median of the distribution is ......

22 sue mean -med(b)

Answer 2

Given the coefficient of skewness, the third and first quartile value of a frequency distribution, Find its median.

Explanation:

• When a data set is divided into four equal parts of more or less equal size each such part is referred to as a quartile.
• These quartiles are denoted by $Q_1,\ Q_2,\ Q_3$
• $Q_1$ is the first or lower quartile (from minimum to median), $25\%$ data is below this point.
• $Q_3$ is the third or upper quartile (from median to highest), $75\%$ data is below this point.
• $Q_2$ is the second quartile or the median, hence $50\%$ data is below this point.
• Now the coefficient of skewness can be calculated using the quartiles as, $Sk_b=\frac{Q_3+Q_1-2Q_2}{Q_3-Q_1}$
• Here we have, $Sk_b=0.8\ \ \ Q_1=40\ \ \ Q_3=85$ hence the median is, $Sk_b=\frac{Q_3+Q_1-2Q_2}{Q_3-Q_1}\\->0.8=\frac{85+40-2Q_2}{85-40}\\->125-2Q_2=36\\->Q_2=44.5$
• Median of the frequency distribution is (a)$44.5$.