Medians and ranges

What is a median?

The median is the middle value in a data set when it is ordered from least to greatest.

How to find the median of an even data set?

For an even number of values, the median is the average of the two middle numbers.

What is a range in statistics?

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

How is the median useful?

The median provides a measure of central tendency that is less affected by outliers than the mean.

What does it signify if the median is higher than the mean?

It often indicates that the data set is left-skewed or has outliers on the lower end.

What is the formula for calculating range?

Range = Maximum value - Minimum value.

What happens to median when an outlier is present?

The median remains relatively stable and does not move significantly compared to the mean.

How do you find the median in a frequency distribution?

Identify the cumulative frequency and find the point where half the total frequency lies.

Why is median preferred in some data analyses?

Median is preferred when dealing with skewed distributions as it reflects the dataset better.

Can the range be zero?

Yes, the range can be zero if all values in the data set are the same.