Box and Whisker Plots Algebra 1 Review

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 the median represent in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest.

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 number. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What are quartiles in a data set?

Back

Quartiles are values that divide a data set into four equal parts, with each part representing 25% of the data.

Front

What does the first quartile (Q1) represent?

Back

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

Front

What does the third quartile (Q3) represent?

Back

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

Front

What is an outlier in a data set?

Back

An outlier is a data point that is significantly different from the other observations in the data set, often lying outside the range of the other values.

Front

How do you identify outliers using a box plot?

Back

Outliers can be identified in a box plot as points that fall outside the whiskers, which typically extend 1.5 times the interquartile range (IQR) from the quartiles.

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), representing the range of the middle 50% of the data.

Front

How do you calculate the range of a data set?

Back

The range is calculated by subtracting the smallest value in the data set from the largest value.