Box Plots, Histograms, Dot Plots and One-Variable Stat Review

Front

What is a Box Plot?

Back

A Box Plot, or Box-and-Whisker Plot, is a graphical representation of data that shows the distribution through five summary statistics: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

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. It divides the data into two equal halves.

Front

What is the mean?

Back

The mean is the average of a data set, calculated by adding all the values together and dividing by the number of values.

Front

When is the mean a better measure of central tendency than the median?

Back

The mean is a better measure when the data is symmetric and not skewed, as it takes all values into account.

Front

What is a Histogram?

Back

A Histogram is a graphical representation of the distribution of numerical data, using bars to show the frequency of data points within specified ranges (bins).

Front

What is a Dot Plot?

Back

A Dot Plot is a simple graphical display that uses dots to represent individual data points along a number line.

Front

What does it mean for data to be skewed?

Back

Skewed data is not symmetrical and has a longer tail on one side. If the tail is on the right, it is skewed right; if on the left, it is skewed left.

Front

What is the purpose of quartiles in data analysis?

Back

Quartiles divide a data set into four equal parts, helping to understand the spread and center of the data.

Front

How do you identify the interquartile range (IQR)?

Back

The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). It measures the spread of the middle 50% of the data.

Front

What is the relationship between the median and the box plot?

Back

In a box plot, the median is represented by a line inside the box, indicating the center of the data.