MAD, IQR and Box Plot Review

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of values, the median is the average of the two middle numbers.

Front

What does IQR stand for?

Back

IQR stands for Interquartile Range, which measures the spread of the middle 50% of a data set.

Front

How do you calculate the IQR?

Back

IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

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

What does Q1 represent in a data set?

Back

Q1, or the first quartile, represents the median of the lower half of the data set.

Front

What does Q3 represent in a data set?

Back

Q3, or the third quartile, represents the median of the upper half of the data set.

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.

Front

How can you determine variability in a data set?

Back

Variability can be determined by looking at the spread of the data, which can be measured using range, IQR, or standard deviation.

Front

What is the term for the median of the upper half of the data?

Back

The term is Upper Quartile (Q3).

Front

If a data set has a high IQR, what does that indicate?

Back

A high IQR indicates that there is a large spread in the middle 50% of the data, suggesting greater variability.