Shapes of Distribution, Measure of Center & Spread

Front

What is the shape of a distribution that is skewed to the right?

Back

A distribution that has a longer tail on the right side, indicating that there are a few high values pulling the mean to the right.

Front

What is the most appropriate measure of variability for a skewed distribution?

Back

Standard Deviation is often used, but it can be misleading; IQR is preferred for skewed distributions.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

Which set of data has the points closest to the mean if the standard deviations are: Set 1-3.1, Set 2-4.9, Set 3-1.7, Set 4-3.2?

Back

Set 3 has the smallest standard deviation (1.7), indicating points are closest to the mean.

Front

What measure of center is most appropriate for a skewed distribution?

Back

Median is preferred for skewed distributions as it is less affected by outliers.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

If the distribution is symmetric, what is the most appropriate measure of center?

Back

Mean is the most appropriate measure of center for symmetric distributions.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Front

Define 'Mean' in the context of a data set.

Back

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

Tags

CCSS.6.SP.B.5C

Front

Define 'Median' in the context of a data set.

Back

The median is the middle value when the data points are arranged in ascending order.

Tags

CCSS.6.SP.B.5C

Front

What does 'Standard Deviation' measure in a data set?

Back

Standard Deviation measures the amount of variation or dispersion of a set of values.

Front

What is 'Interquartile Range (IQR)'?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What is a 'Bell Curve'?

Back

A bell curve is a graphical representation of a normal distribution, where most values cluster around the mean.

Tags

CCSS.HSS.ID.A.4