Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 2/5

A standardized test has mean μ = 500 and standard deviation σ = 100. A student scored 650.

Test Score Distribution μ = 500 x = 650 σ = 100

What is the z-score for this student's test score?

  • A

    150

  • B

    1.5

    check_circle
  • C

    0.65

  • D

    −1.5

Explanation

z = (650 − 500)/100 = 150/100 = 1.5. The student is 1.5 standard deviations above the mean.

Want 10 more like this — adaptive to your weak spots?

Related questions