Question

determine whether the statement below makes sense or does not make sense, and explain your reasoning. im using a table showing z - scores and percentiles that has positive percentiles corresponding to positive z - scores and negative percentiles corresponding to negative z - scores. choose the correct answer below. a. the statement makes sense because only positive z - scores correspond to positive percentiles and negative z - scores correspond to negative percentiles. b. the statement does not make sense because although positive z - scores are possible, positive percentiles are not. c. the statement does not make sense because although negative z - scores are possible, negative percentiles are not. d. the statement makes sense because z - scores and percentiles can be positive or negative.

Explanation:

Percentiles represent the proportion of data below a certain value and range from 0 to 100 (or 0 to 1 as a proportion), so they cannot be negative. While z - scores can be negative (below the mean) or positive (above the mean), negative percentiles do not exist.

Answer:

C. The statement does not make sense because although negative z - scores are possible, negative percentiles are not.