Measures of Center and Variability

Front

What is the mean?

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the median?

Back

The median is the middle value in a set of numbers when they are arranged in order. If there is an even number of values, the median is the average of the two middle numbers.

Tags

CCSS.6.SP.B.5C

Front

What is the mode?

Back

The mode is the value that appears most frequently in a data set.

Tags

CCSS.6.SP.B.5C

Front

What is the range?

Back

The range is the difference between the highest and lowest values in a data set.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the interquartile range (IQR)?

Back

The IQR is the difference between the first quartile (Q1) and the third quartile (Q3) in a data set, representing the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

What is standard deviation?

Back

Standard deviation is a measure of how spread out the values in a data set are, indicating the average distance of each data point from the mean.

Front

When should you use the mean?

Back

Use the mean when the data set has no outliers and is symmetrically distributed.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

When should you use the median?

Back

Use the median when the data set has outliers or is skewed, as it better represents the center of the data.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What does it mean if the mean is greater than the median?

Back

If the mean is greater than the median, it indicates that the data set is positively skewed, with higher values pulling the mean up.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What does it mean if the mean is less than the median?

Back

If the mean is less than the median, it indicates that the data set is negatively skewed, with lower values pulling the mean down.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2