Quartiles & IQR - v2

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a ranked dataset into four equal parts, each containing 25% of the data.

Front

How do you find the median of a dataset?

Back

To find the median, first sort the data in ascending order. If the number of observations is odd, the median is the middle number. If even, it is the average of the two middle numbers.

Front

What is the Interquartile Range (IQR)?

Back

The Interquartile Range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), representing the range of the middle 50% of the data.

Front

What is the formula for calculating IQR?

Back

IQR = Q3 - Q1.

Front

What does Q1 represent in a dataset?

Back

Q1, or the first quartile, represents the median of the lower half of the dataset, marking the 25th percentile.

Front

What does Q3 represent in a dataset?

Back

Q3, or the third quartile, represents the median of the upper half of the dataset, marking the 75th percentile.

Front

How do you calculate Q1?

Back

To calculate Q1, sort the data and find the median of the lower half of the dataset.

Front

How do you calculate Q3?

Back

To calculate Q3, sort the data and find the median of the upper half of the dataset.

Front

What is the significance of the median in a dataset?

Back

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

Front

True or False: The median can be found without sorting the data.

Back

False. The data must be sorted from smallest to largest to find the median.