Box plots, dot plots and Histograms

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that displays the median, quartiles, and potential outliers. It shows the distribution of data based on a five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Front

What does an outlier represent in a dataset?

Back

An outlier is a data point that differs significantly from other observations in a dataset. It may indicate variability in the measurement or may suggest experimental errors.

Front

How do you identify an outlier using a box plot?

Back

In a box plot, outliers are typically represented as individual points that fall outside the whiskers, which extend to 1.5 times the interquartile range (IQR) from the quartiles.

Front

What is a dot plot?

Back

A dot plot is a simple graphical display that uses dots to represent the frequency of data points in a dataset. Each dot represents one observation.

Front

What does it mean if data is skewed right?

Back

If data is skewed right, it means that the tail on the right side of the distribution is longer or fatter than the left side. This indicates that there are a few high values that are pulling the mean to the right.

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, where the data is divided into bins or intervals, and the frequency of data points in each bin is represented by the height of the bars.

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How do you determine the shape of a distribution from a histogram?

Back

The shape of a distribution can be determined by observing the pattern of the bars in a histogram. Common shapes include symmetrical, skewed left, skewed right, and uniform.

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What is the purpose of using a dot plot?

Back

Dot plots are used to display small to moderate-sized datasets and to visualize the distribution of data points, making it easy to identify clusters, gaps, and outliers.

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.

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How do you calculate 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.