EOC Remediation Center/Variability

Front

What is the mean in a data set?

Back

The mean is the average of all the values in a data set, calculated by summing all the values and dividing by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the median in a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does it mean for data to be symmetric?

Back

Data is symmetric when the left and right sides of the distribution are mirror images of each other, meaning the mean and median are equal.

Front

What is skewness in a data distribution?

Back

Skewness refers to the asymmetry of the distribution of values in a data set. A distribution can be positively skewed (tail on the right) or negatively skewed (tail on the left).

Front

When is the median a better measure of center than the mean?

Back

The median is a better measure of center when the data is skewed or contains outliers, as it is less affected by extreme values.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

What happens to the mean if a very large negative number is added to a data set?

Back

The mean will decrease, as the large negative number pulls the average down.

Front

What is the relationship between mean and median in a positively skewed distribution?

Back

In a positively skewed distribution, the mean is greater than the median.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

What is the relationship between mean and median in a negatively skewed distribution?

Back

In a negatively skewed distribution, the mean is less than the median.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

What is a measure of variability?

Back

A measure of variability describes the spread or dispersion of a data set, indicating how much the values differ from each other.

Tags

CCSS.6.SP.A.3

Front

What are common measures of variability?

Back

Common measures of variability include range, variance, and standard deviation.

Tags

CCSS.6.SP.A.3