Shapes of Distribution, Measure of Center & Spread

Front

What is the shape of a symmetrical distribution?

Back

A symmetrical distribution has a mirror image on either side of the center, meaning the left and right sides are identical.

Front

What does it mean if a distribution is skewed to the right?

Back

In a right-skewed distribution, the tail on the right side is longer or fatter than the left side, indicating that most data points are concentrated on the left.

Front

What does it mean if a distribution is skewed to the left?

Back

In a left-skewed distribution, the tail on the left side is longer or fatter than the right side, indicating that most data points are concentrated on the right.

Front

What is the mean of a data set?

Back

The mean is the average of all data points, calculated by adding all values and dividing by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the median of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

When should you use the mean as a measure of center?

Back

Use the mean when the distribution is symmetrical and there are no outliers, as it provides a good representation of the data.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

When should you use the median as a measure of center?

Back

Use the median when the distribution is skewed or has outliers, as it is less affected by extreme values.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is the interquartile range (IQR)?

Back

The IQR is a measure of statistical dispersion, calculated as the difference between the first quartile (Q1) and the third quartile (Q3). It represents the range of the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

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

Back

If the mean is greater than the median, it suggests that the distribution is skewed to the right, with higher values pulling the mean up.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2