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AP Statistics 1.9 D Calculate Z Scores with Population Parameters Questions

Practise calculating and interpreting z-scores as signed distances from a population mean, rearranging the formula and recognising properties of standardised data.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • calculate and interpret a z-score as a signed number of standard deviations from the mean
  • rearrange z = (x − μ)/σ to recover an unknown value, mean or standard deviation
  • recognise that positive unit changes preserve z-scores and a standardised distribution has SD 1

AP Statistics 1.9 D Calculate Z Scores with Population Parameters Questions question 1

A professional sports team evaluates potential players for a certain position based on two main characteristics, speed and strength.

Strength is measured by the amount of weight lifted, with more weight indicating more desirable (greater) strength. From previous strength data for all players in this position, the amount of weight lifted has a mean of 310 pounds and a standard deviation of 25 pounds, as shown in the table below.

Table for Question AP Statistics 1.9 D Calculate Z Scores with Population Parameters Questions question 1 — AP Statistics

Calculate and interpret the z-score for a player in this position who can lift a weight of 370 pounds.

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