Measures of Center and Outliers Effects

Front

What is the mean?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

What is the median?

Back

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

Front

What is the mode?

Back

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

Front

What is an outlier?

Back

An outlier is a value that is significantly higher or lower than the other values in a data set.

Front

How does an outlier affect the mean?

Back

An outlier can skew the mean, making it higher or lower than it would be without the outlier.

Front

How does an outlier affect the median?

Back

The median is less affected by outliers because it is based on the middle value(s) of a sorted list.

Front

What happens to the mean when an outlier is removed?

Back

Removing an outlier typically causes the mean to move closer to the median.

Front

If the data set is 2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 44, what is the mean?

Back

The mean is 12.5.

Front

If Gabriella's quiz grades are 88, 92, 92, 96, 98, and she scores a 20 on her sixth quiz, what is the new mean?

Back

The new mean is approximately 81.67.

Front

What is the effect of a low score on the mean?

Back

A low score will generally decrease the mean of the data set.