Math IA - 6.6 DHQ (1st) 12/11

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations in a data set, often due to variability in the measurement or it may indicate experimental error.

Front

How does removing an outlier affect the mean of a data set?

Back

Removing an outlier typically decreases the mean if the outlier is significantly higher than the other values.

Front

How does removing an outlier affect the median of a data set?

Back

Removing an outlier generally has little to no effect on the median unless the outlier is one of the middle values.

Front

What is the mean of a data set?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of all values by the number of values.

Front

What is the median of a data set?

Back

The median is the middle value of a data set when the numbers are arranged in ascending order.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, sum all the values in the data set and divide by the total number of values.

Front

What happens to the mean when a low score is added to a high-scoring data set?

Back

The mean will typically decrease because the low score pulls the average down.

Front

What happens to the median when a low score is added to a high-scoring data set?

Back

The median may decrease if the low score is lower than the current median value.

Front

What is the effect of a low outlier on the mean and median?

Back

A low outlier decreases the mean and may decrease the median depending on its position in the data set.

Front

How do you identify an outlier in a data set?

Back

Outliers can be identified using statistical methods such as the interquartile range (IQR) or Z-scores.