Measures of Center/ Variability

Front

What is an outlier in a data set?

Back

An outlier is a value that is significantly different from the other values in a data set. It can be much higher or much lower than the rest of the data.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, add all the numbers together and then divide by the total number of values.

Front

What is the median of a data set?

Back

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

Front

What is mode in statistics?

Back

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

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 is the interquartile range (IQR)?

Back

The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and represents the range of the middle 50% of the data.

Front

How does adding an outlier affect the mean?

Back

Adding an outlier can significantly increase or decrease the mean, depending on whether the outlier is much higher or lower than the other values.

Front

How does adding an outlier affect the median?

Back

Adding an outlier usually does not affect the median unless the outlier is extreme enough to change the middle value.

Front

What is the difference between mean and median?

Back

The mean is the average of all values, while the median is the middle value when arranged in order. The mean can be affected by outliers, while the median is more resistant to them.

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a data set into four equal parts.