Measures of Variation Practice

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the first half of a data set, representing the 25th percentile.

Front

What is the second quartile (Q2)?

Back

The second quartile (Q2) is the median of the entire data set, representing the 50th percentile.

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the second half of a data set, representing the 75th percentile.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1), calculated as IQR = Q3 - Q1.

Front

What is the range of a data set?

Back

The range is the difference between the maximum and minimum values in a data set, calculated as Range = Maximum - Minimum.

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of values, average the two middle values.

Front

What does it mean if a data set has a large IQR?

Back

A large IQR indicates that the middle 50% of the data is spread out over a wide range, suggesting greater variability.

Front

What does it mean if a data set has a small IQR?

Back

A small IQR indicates that the middle 50% of the data is clustered closely together, suggesting less variability.

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Front

How do you calculate Q1 in a data set?

Back

To calculate Q1, find the median of the lower half of the data set (excluding the overall median if the number of data points is odd).