Histograms, Box Plots, and MAD

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins).

Front

What is a box plot?

Back

A box plot (or whisker plot) is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What does MAD stand for in statistics?

Back

MAD stands for Mean Absolute Deviation, which measures the average distance between each data point and the mean of the dataset.

Front

How do you find the minimum value in a data set?

Back

The minimum value is the smallest number in the data set.

Front

What is the purpose of intervals in a histogram?

Back

Intervals (or bins) in a histogram group data points into ranges, allowing for a visual representation of frequency distribution.

Front

How do you determine the interval with the greatest frequency in a histogram?

Back

Identify the interval (bin) that has the highest bar height, which represents the greatest number of data points.

Front

What is the median in a box plot?

Back

The median is the middle value of a data set when it is ordered from least to greatest, represented by the line inside the box of a box plot.

Front

How do you calculate the Mean Absolute Deviation (MAD)?

Back

To calculate MAD, find the mean of the data set, then calculate the absolute deviations from the mean, and finally find the average of those absolute deviations.

Front

What does the first quartile (Q1) represent in a box plot?

Back

Q1 represents the median of the lower half of the data set, indicating that 25% of the data points fall below this value.

Front

What does the third quartile (Q3) represent in a box plot?

Back

Q3 represents the median of the upper half of the data set, indicating that 75% of the data points fall below this value.