Stats and box plot

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

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. It divides the dataset into two equal halves.

Front

What are quartiles in statistics?

Back

Quartiles are values that divide a dataset into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.

Front

How do you calculate the upper quartile (Q3)?

Back

To find Q3, order the data set from least to greatest, then find the median of the upper half of the data.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1). It measures the spread of the middle 50% of the data.

Front

What does a box plot indicate about data distribution?

Back

A box plot indicates the spread, center, and skewness of the data distribution, as well as potential outliers.

Front

What is the lower quartile (Q1)?

Back

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

Front

How do you find the percentage of data within a certain range in a box plot?

Back

To find the percentage of data within a certain range, count the number of data points that fall within that range and divide by the total number of data points, then multiply by 100.

Front

What does it mean if a box plot has a long whisker on one side?

Back

A long whisker indicates a larger spread of data on that side, suggesting the presence of outliers or a skewed distribution.

Front

How do you determine the median from a box plot?

Back

The median is represented by the line inside the box of the box plot.