Algebra: 4.1-2: Boxplots, Histograms, and Dot Plots

Front

What is a boxplot?

Back

A boxplot 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 a histogram represent?

Back

A histogram is a type of bar graph that represents the frequency distribution of numerical data, showing how many data points fall within specified ranges (bins).

Front

What is a dot plot?

Back

A dot plot is a simple statistical chart that consists of dots representing the frequency of data points along a number line.

Front

What is the median in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is the 25th percentile?

Back

The 25th percentile, also known as the first quartile (Q1), is the value below which 25% of the data falls.

Front

How do you determine the interquartile range (IQR)?

Back

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What does it mean for data to be symmetrical?

Back

Data is symmetrical when the left and right sides of the distribution are mirror images of each other, indicating that the mean, median, and mode are all equal.

Front

What is a frequency distribution?

Back

A frequency distribution is a summary of how often each value occurs in a data set, often represented in tables or graphs.

Front

What is the purpose of a boxplot?

Back

The purpose of a boxplot is to provide a visual summary of the central tendency, variability, and skewness of a data set.

Front

How can you identify outliers in a boxplot?

Back

Outliers in a boxplot are typically represented as individual points that fall outside the whiskers, which extend to 1.5 times the IQR from the quartiles.