Mean, Variance, Box & Whisker Plots and Standard Deviation

Front

What is the mean of a set of numbers?

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

How do you calculate the variance of a data set?

Back

Variance is calculated by finding the average of the squared differences from the mean.

Front

What is the standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values, calculated as the square root of the variance.

Front

What does a box plot represent?

Back

A box plot visually represents the distribution of a data set, showing the median, quartiles, and potential outliers.

Front

What does the median represent in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest.

Front

How do you find the median of an even set of numbers?

Back

To find the median of an even set, average the two middle numbers after sorting the data.

Front

What is the first quartile (Q1) in a data set?

Back

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

Front

What is the third quartile (Q3) in a data set?

Back

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

Front

How do you interpret a box plot?

Back

In a box plot, the box represents the interquartile range (IQR), the line inside the box is the median, and the 'whiskers' show the range of the data.

Front

What is the range of a data set?

Back

The range is the difference between the highest and lowest values in a data set.