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Question: Recognize the incorrect statement(s).
I. When all data for a variable are transformed into z scores, the resulting distribution will have a mean of 1 and a standard deviation of 0.
II. The z score represents the number of standard deviations that a data value falls above or below the mean.
III. Percentages are position measures used to compare the relative position of an individual in a group.
IV. Percentile divide the data set into 100 equal groups.


A ) I only
B ) I and III only
C ) II and IV only
D ) IV only

Steps to derive

1 When all data for a variable are transformed into z scores, the resulting distribution will have a mean of 0 and a standard deviation of 1.

2 The z score represents the number of standard deviations that a data value falls above or below the mean.

3 Percentiles are position measures used to compare the relative position of an individual in a group. (Percentile is not same as percentage.)

4 Percentile divide the data set into 100 equal groups.

5 Therefore, statements I and III are incorrect.



Hence the right answer is Option B

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