Comparing data distributions

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set. It is calculated as IQR = Q3 - Q1.

Front

How do you calculate the median of a data set?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of observations, the median is the average of the two middle values.

Front

What does a box plot represent?

Back

A box plot visually summarizes the distribution of a data set by displaying its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

What is the significance of the median in data analysis?

Back

The median is a measure of central tendency that indicates the middle value of a data set, providing a better representation of the data when it is skewed.

Front

What does a larger interquartile range indicate about a data set?

Back

A larger interquartile range indicates greater variability or spread in the middle 50% of the data, suggesting more diversity in the values.

Front

How can you compare the spread of two data sets using box plots?

Back

You can compare the spread of two data sets by examining the lengths of the boxes and the whiskers in their box plots; longer boxes or whiskers indicate greater spread.

Front

What is the purpose of dot plots in data representation?

Back

Dot plots are used to display individual data points in a simple and clear manner, allowing for easy comparison of distributions and frequencies.

Front

What does it mean if one data set has a larger spread than another?

Back

A larger spread means that the values in the data set are more dispersed or varied, indicating more variability in the data.

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of a 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 a data set, representing the 75th percentile.