## to find how drastically data varies, we need to investigate…

### the range, variance, and standard deviation of the data

the range, variance, and standard deviation of the data.

1. Range: The range is a measure of how spread out the values in a data set are. It is simply the difference between the maximum and minimum values in the data set. To calculate the range, subtract the smallest value from the largest value.

2. Variance: Variance measures the average squared difference of each data point from the mean. It quantifies the variability or dispersion of the data set. To calculate the variance, subtract the mean from each data point, square the result, and then take the average of these squared differences.

3. Standard Deviation: The standard deviation is a commonly used measure of the spread of data. It quantifies the average distance between each data point and the mean. It is the square root of the variance and provides a measure of how closely the data points cluster around the mean.

By analyzing these measures, we can determine the degree of variation and dispersion within the data set. A larger range, variance, or standard deviation indicates a greater spread, suggesting a wider range of values. Conversely, a smaller range, variance, or standard deviation indicates less variability, implying that the data points are closer together and less scattered.

##### More Answers:

Discover the Power of Squaring with O^2 | Understanding the Mathematical Concept of Finding the Square of a NumberUnderstanding Age as a Quantitative Variable | Exploring its Numerical Nature and Mathematical Operations

Choosing the Right Graphical Display | Why Pictograms are Not Ideal for Accurate Numerical Data Representation