Mean, median, and shape of data distributions

Front

What is the median of a set of numbers?

Back

The median is the middle value in a list of numbers sorted in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.

Front

How do you find the mean of a set of numbers?

Back

To find the mean, add all the numbers together and then divide by the total count of numbers.

Front

What does it mean if a data distribution is symmetrical?

Back

A symmetrical distribution has a mirror image on either side of the center point, meaning the mean, median, and mode are all equal.

Front

What does it mean if a data distribution is skewed right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that the mean is greater than the median.

Front

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

Back

A left-skewed distribution has a longer tail on the left side, indicating that the mean is less than the median.

Front

How do you determine the shape of a data distribution?

Back

The shape can be determined by analyzing the frequency of data points and their spread, often visualized using histograms or stemplots.

Front

What is a stemplot?

Back

A stemplot is a graphical representation of data that displays the distribution of data points by separating each value into a stem (the leading digit) and a leaf (the trailing digit).

Front

If the mean is less than the median, what can be inferred about the data distribution?

Back

If the mean is less than the median, the data distribution is likely skewed left.

Front

What is the mode of a set of numbers?

Back

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

Front

How can you tell if a data set has outliers?

Back

Outliers can be identified by looking for values that are significantly higher or lower than the rest of the data points, often visualized using box plots.