how can you approximate the difference of the medias by using the interquartile range?

Answer 1

To approximate the difference of the medians using the interquartile range, we can use the following formula:

Median difference = Interquartile Range (IQR) / 2

This is because the IQR represents the range between the lower and upper quartiles, which are points that divide the data into four equal parts. So, half of the IQR represents the distance from the median to either the lower or upper quartile. Therefore, dividing the IQR by 2 gives us an estimate of the distance between the medians of the two groups being compared.