Question

For a skewed data set, we say that a data set doesn't vary much if a. (Q3 - Q1) / Median ≤ .5 b. (Q3 - Q1) / Median > .5 c. Standard deviation / mean > .5 d. Standard deviation / mean ≤ .5

Answer 1

Answer:

The option b) $\frac{(Q_3 - Q_1)}{Median}>0.5$ is correct

Step-by-step explanation:

Given that " For a skewed data set, we say that a data set doesn't vary much "

To say a skewed data set doesn't vary much :

• Here Mean is 0.5
• For a skewed data set we have Median is always greater than Mean
• That is Median > Mean=0.5

Therefore Median > 0.5

Median is closer to $Q_3$ > $Q_1$

For a skewed data set, we say that a data set doesn't vary much if $\frac{(Q_3 - Q_1)}{Median}>0.5$

Therefore the option b) $\frac{(Q_3 - Q_1)}{Median}>0.5$ is correct