Z-Scores

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

What does a Z-score of 0 represent?

Back

A Z-score of 0 indicates that the data point is exactly at the mean.

Front

How do you calculate a Z-score?

Back

Z-score = (X - Mean) / Standard Deviation, where X is the value.

Front

What does a positive Z-score indicate?

Back

A positive Z-score indicates that the data point is above the mean.

Front

What does a negative Z-score indicate?

Back

A negative Z-score indicates that the data point is below the mean.

Front

What is the significance of the 50th percentile?

Back

The 50th percentile is the median, meaning half of the data points are below this value.

Tags

CCSS.6.SP.B.5C

Front

What is the 75th percentile also known as?

Back

The 75th percentile is also known as the third quartile.

Tags

CCSS.6.SP.B.5C

Front

If a score is at the 84th percentile, what does it mean?

Back

It means that the score is higher than 84% of the scores in the distribution.

Front

What is the relationship between percentiles and Z-scores?

Back

Percentiles can be converted to Z-scores using statistical tables or software.

Tags

CCSS.HSS.ID.A.4

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points and is the center of the distribution.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2