Histograms and Box Plots

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 box-and-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 the height of a bar in a histogram represent?

Back

The height of a bar in a histogram represents the frequency (count) of data points that fall within the corresponding interval (bin).

Front

How do you determine the number of students in a specific age range using a histogram?

Back

To determine the number of students in a specific age range, locate the corresponding bar in the histogram and read the height of that bar, which indicates the frequency of students in that age range.

Front

What does each section of a box plot represent?

Back

Each section of a box plot represents 25% of the data. The box itself shows the interquartile range (IQR), which contains the middle 50% of the data.

Front

How do you find the median from a box plot?

Back

The median is represented by the line inside the box of a box plot, dividing the data into two equal halves.

Front

What is the purpose of the whiskers in a box plot?

Back

The whiskers in a box plot extend from the quartiles to the minimum and maximum values, showing the range of the data outside the interquartile range.

Front

How can you identify outliers in a box plot?

Back

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

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of the data set, representing the 25th percentile.

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of the data set, representing the 75th percentile.