Histograms and Box Plots (ghs)

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 (box and whisker plot)?

Back

A box 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 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

How do you find the mode of a data set?

Back

The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

Front

What is the purpose of using histograms?

Back

Histograms are used to visualize the distribution of data, identify patterns, and understand the frequency of data points within different ranges.

Front

What information can you gather from a box plot?

Back

A box plot provides information about the central tendency (median), variability (interquartile range), and potential outliers in a data set.

Front

What does the whisker in a box plot represent?

Back

The whiskers in a box plot extend from the box to the smallest and largest values within 1.5 times the interquartile range (IQR) from the quartiles.

Front

How do you interpret the shape of a histogram?

Back

The shape of a histogram can indicate the distribution of data, such as normal, skewed, or uniform distributions.

Front

What is the interquartile range (IQR)?

Back

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

Front

What does a skewed histogram indicate?

Back

A skewed histogram indicates that the data is not symmetrically distributed, with a longer tail on one side. Right skewed has a tail on the right, and left skewed has a tail on the left.