Interquartile Range (IQR)

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set.

Front

How do you calculate the IQR?

Back

IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile.

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of a data set, which separates the lowest 25% of the data from the rest.

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of a data set, which separates the highest 25% of the data from the rest.

Front

Given the data set: 17, 18, 18, 19, 20, 21, 21, 23, 25, what is the IQR?

Back

The IQR is 4.

Front

What does a box plot represent?

Back

A box plot visually represents the distribution of a data set, showing the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

If Q1 is 60 and Q3 is 64, what is the IQR?

Back

The IQR is 4.

Front

What is the median of the data set: 2, 3, 4, 5, 5, 6, 7, 7, 8, 10?

Back

The median is 5.5.

Front

In a data set, if the minimum is 77, Q1 is 79.5, median is 86.5, Q3 is 90.5, and maximum is 99, what is the IQR?

Back

The IQR is 11.

Front

What is the purpose of calculating the IQR?

Back

The IQR is used to measure the spread of the middle 50% of a data set and to identify outliers.