Midterm Box Plots and Outliers

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that displays the median, quartiles, and potential outliers.

Front

What does Q1 represent in a box plot?

Back

Q1, or the first quartile, represents the value below which 25% of the data falls.

Front

What does Q3 represent in a box plot?

Back

Q3, or the third quartile, represents the value below which 75% of the data falls.

Front

How do you calculate the interquartile range (IQR)?

Back

IQR is calculated as Q3 - Q1, representing the range of the middle 50% of the data.

Front

What is an outlier?

Back

An outlier is a data point that is significantly different from the other observations in a data set.

Front

How can you identify outliers using the IQR?

Back

Outliers can be identified as any data point that is less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR.

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.

Front

What is the purpose of a box plot?

Back

A box plot visually summarizes the distribution of a data set, highlighting the median, quartiles, and outliers.

Front

Given Q1 = 15, Median = 27, Q3 = 35, which of the following is an outlier: 3, 82, 63?

Back

82 is an outlier.

Front

Given Q1 = 48, Median = 65, Q3 = 90, which of the following is an outlier: 5, 63, 149?

Back

None of the above are outliers.