Little John, at the age of 7, is one of the tallest kids in his class, while his older brother Matthew, at the age of 12, is one of the shortest kids in his class.Which statement would be true if their heights were converted to z scores?
A) John's positive z score would exceed Matthew's z score, indicating that he is taller.
B) Matthew's z score for his age group would be less than John's in his respective distribution.
C) Matthew would have a negative z score and John would have a positive z score.
D) John's z score would be twice the magnitude of Matthew's z score.

Question

Quizplus · Accepted Answer

Z scores measure how many standard deviations an element is from the mean. Since John is taller than average for his age, his z score would be positive. Matthew, being shorter than average for his age, would have a negative z score.

Little John, at the Age of 7, Is One of the Tallest