z-score practice

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of a distribution.

Front

How do you calculate a z-score?

Back

Z-score = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the value is below the mean.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the value is above the mean.

Front

If a student's score is at the mean, what is their z-score?

Back

The z-score would be 0.

Front

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

Back

Approximately 68% of the data falls within one standard deviation of the mean.

Front

What is the mean and standard deviation of the heights of 3rd graders in the provided example?

Back

Mean = 52 inches, Standard Deviation = 2.5 inches.

Front

If Jane's z-score is 1.20 and the mean score is 100 with a standard deviation of 15, what is her score?

Back

Her score is 118.

Front

What is the mean and standard deviation of women's heights in the provided example?

Back

Mean = 63.6 inches, Standard Deviation = 2.5 inches.

Front

If a woman has a z-score of 2.56, how tall is she given the mean height of women?

Back

She is 70 inches tall.