A researcher is studying psychological factors in academic achievement among teenage girls. One variable he is particularly interested in is competitiveness. What information does a measure of variability for the variable competitiveness convey?
Check all that apply.
O Do all teenage girls have the same amount of competitiveness?
O How spread out are the values for competitiveness amoung teenage girls?
O What is the central tendency for the variable competitiveness among teenage girls?
O What is the most common value for the variable competitiveness among teenage girls?

O Do all teenage girls have the same amount of competitiveness?

O How spread out are the values for competitiveness among teenage girls?

Step-by-step explanation:

Since he is interested in competitiveness convey, all these are possible points of argument.

1. What is the level of competitiveness among the students? This will make us to press further by asking (investigate statistically) the following questions:

- Do all teenage girls have the same amount of competitiveness? Can we say there is homogeneity? That is, equal variance!

- How spread out are the values for competitiveness among teenage girls? What is the variance or standard deviation? That is, how far are the observation away from the center?

- What is the central tendency for the variable competitiveness among teenage girls? What is the mean, and median?

- What is the most common value for the variable competitiveness among teenage girls? This is talking about mode!

With all these, we assumed that competitiveness is a continuous data or variable.

However, if competitiveness is categorical variable, we can only do classification study. Such as frequency distribution.

Therefore:

Only the first two options consider variability! The last two options are measure of central tendency.