8.12 Boxplots

Front

What is a boxplot?

Back

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

Front

What does the median represent in a dataset?

Back

The median is the middle value of a dataset when it is ordered from least to greatest, dividing the dataset into two equal halves.

Front

What are quartiles in statistics?

Back

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

Front

How do you find the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of the dataset, excluding the overall median if the number of data points is odd.

Front

What does the range of a dataset indicate?

Back

The range indicates the difference between the maximum and minimum values in a dataset, showing the spread of the data.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the lower quartile (Q1), representing the middle 50% of the data.

Front

How can you determine which profession has the greatest range of salaries?

Back

To determine the greatest range, calculate the difference between the highest and lowest salaries for each profession and compare the results.

Front

What does it mean if 75% of the data values are greater than a certain number?

Back

It means that the number is less than the third quartile (Q3) of the dataset, indicating that the majority of the data points fall above that value.

Front

How do you interpret a boxplot?

Back

A boxplot shows the distribution of data, highlighting the median, quartiles, and potential outliers, allowing for quick visual comparisons between datasets.

Front

What is an outlier in a dataset?

Back

An outlier is a data point that is significantly higher or lower than the other values in a dataset, often indicating variability or error.