Quartiles and Interquartile Range

Front

What is a quartile?

Back

A quartile is a value that divides a data set into four equal parts.

Front

What does the lower quartile (Q1) represent?

Back

The lower quartile (Q1) represents the 25th percentile of the data set.

Front

What does the upper quartile (Q3) represent?

Back

The upper quartile (Q3) represents the 75th percentile of the data set.

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in order and locate the middle value.

Front

Is the median always a value in the data set?

Back

No, the median may not be a value in the data set if the number of values is even.

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).

Front

Why is the interquartile range important?

Back

The interquartile range is important because it measures the spread of the middle 50% of the data.

Front

What is the formula for calculating the interquartile range?

Back

IQR = Q3 - Q1.

Front

What does a larger interquartile range indicate?

Back

A larger interquartile range indicates greater variability in the middle half of the data.

Front

What is the first step in finding quartiles?

Back

The first step is to arrange the data in ascending order.