Question

Tom scored 200 on a test with a mean of 150 and a standard deviation of 25. What is Toms z score and percentile?

Answer 1

Answer:

Z score is 2.0

In normal distribution Percentile is

97. 72% Left tailed

2.28% Right tailed

Explanation:

Z score is = (score - mean) / SD

Z = (200-150)/25=50/25=2

Answer 2

The value of Tom's z-score and percentile are;

Z-score = 2

Percentile = 97.725th percentile.

• We are given;

score; x' = 200

Mean score; μ = 150

Standard deviation; σ = 25

• Formula for z-score here is;

z = (x' - μ)/σ

z = (200 - 150)/25

z = 2

• From p-value from z-score calculator, the percentile of a z-score of 2 is 0.97725 or 97.725th percentile.

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