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 does the height of a bar in a histogram represent?

Back

The height of a bar in a histogram represents the frequency (number of occurrences) of data points within that specific range (bin).

Front

What is a box plot?

Back

A box plot, also known as a whisker plot, is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, 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

What are quartiles in a data set?

Back

Quartiles are values that divide a data set into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.

Front

How do you find the median of a data set?

Back

To find the median, first arrange the data in ascending order. If the number of data points is odd, the median is the middle number. If even, it is the average of the two middle numbers.

Front

What does the first quartile (Q1) represent?

Back

The first quartile (Q1) represents the value below which 25% of the data falls.

Front

What does the third quartile (Q3) represent?

Back

The third quartile (Q3) represents the value below which 75% of the data falls.

Front

What is the interquartile range (IQR)?

Back

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

Front

How can you determine which box plot has a higher median?

Back

You can determine which box plot has a higher median by comparing the line inside each box, which represents the median value.