Box Plots and IQR

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

How do you find the interquartile range (IQR)?

Back

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

Front

What does the lower quartile (Q1) represent?

Back

The lower quartile (Q1) is the median of the lower half of the dataset, representing the 25th percentile.

Front

What does the upper quartile (Q3) represent?

Back

The upper quartile (Q3) is the median of the upper half of the dataset, representing the 75th percentile.

Front

What is the maximum value in a dataset?

Back

The maximum value is the largest number in the dataset.

Front

What is the minimum value in a dataset?

Back

The minimum value is the smallest number in the dataset.

Front

If Q1 is 33 and Q3 is 45, what is the IQR?

Back

IQR = 45 - 33 = 12.

Front

Given the data set: 50, 60, 82, 86, 94, 110, what is the IQR?

Back

IQR = 86 - 60 = 26.

Front

What is the median of the dataset: 50, 60, 82, 86, 94, 110?

Back

The median is 82, which is the middle value when the data is ordered.

Front

How do you identify outliers in a box plot?

Back

Outliers are typically identified as values that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR.