Describing Data Distributions

Front

What is the lower quartile (Q1)?

Back

The lower quartile (Q1) is the value that separates the lowest 25% of a data set from the rest. It is the median of the lower half of the data.

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there are two middle numbers, add them together and divide by 2.

Front

What is the median of the following numbers: 84, 88, 72, 74, 98, 16, 94?

Back

The median is 84.

Front

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

Back

A left-skewed distribution has a longer tail on the left side, indicating that the majority of the data points are concentrated on the right.

Front

What is the median of the following data set: 5, 3, 8, 6, 2?

Back

The median is 5.

Front

What is a normal distribution?

Back

A normal distribution is a symmetric, bell-shaped distribution where most of the observations cluster around the central peak.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the value that separates the highest 25% of a data set from the rest. It is the median of the upper half of the data.

Front

How do you determine if a data set is skewed?

Back

A data set is skewed if the mean and median are not equal. If the mean is less than the median, it is left-skewed; if the mean is greater, it is right-skewed.

Front

What is the range of a data set?

Back

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

Front

What does it mean for a distribution to be uniform?

Back

A uniform distribution has all outcomes equally likely, resulting in a flat shape when graphed.