Empirical Rule & Z-Score practice

Front

What percentage of data falls within 1 standard deviation of the mean according to the empirical rule?

Back

68%

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

What percentage of students have a GPA between 2.3 and 3.5 if the mean is 2.9 and standard deviation is 0.6?

Back

68%

Front

What interval contains approximately 99.7% of weights for a machine that pours concrete with a mean of 1150 pounds and standard deviation of 22 pounds?

Back

1084 to 1216 pounds

Front

What does the symbol 'σ' represent in statistics?

Back

Standard Deviation

Front

What percentage of data falls within 2 standard deviations of the mean according to the empirical rule?

Back

95%

Front

What percentage of data falls within 3 standard deviations of the mean according to the empirical rule?

Back

99.7%

Front

What is the formula for calculating a Z-score?

Back

Z = (X - μ) / σ

Front

If a data point is 2 standard deviations above the mean, what is its Z-score?

Back

2

Front

What does a Z-score of 0 indicate?

Back

The data point is exactly at the mean.