Skewness Can Be Measured by Pearson's Index of Skewness $$I = \frac { 3 ( \bar { x } - \text { median } ) } { s }$$

question 44

Essay

Skewness can be measured by Pearson's index of skewness:
$$I = \frac { 3 ( \bar { x } - \text { median } ) } { s }$$
If $\mathrm { I } \geq 1.00$ or $\mathrm { I } \leq - 1.00$ , the data can be considered significantly skewed. Would you expect that incomes of all adults in the US would be skewed? In which direction? Why? Would you expect that for these incomes, Pearson's index of skewness would be greater than 1, smaller than $- 1$ , or between $- 1$ and 1 ?

---

Definitions:

Oppositional Defiant Disorder (ODD)

A behavior disorder in children and adolescents characterized by excessive anger, vindictiveness, defiance, and often hostility toward authority figures.

Negative Hostile

Characterized by feelings of bitterness and aggression towards others or situations, often resulting in a pessimistic view of social interactions.

Oppositional Defiant Disorder (ODD)

A disorder in children marked by defiant, disobedient, and hostile behaviors towards authority figures.

Residential Treatment

A live-in healthcare facility providing therapy for substance abuse, mental illness, or other behavioral problems.