What does variance measure in statistical data?

What does variance measure in statistical data?

• A. The average of a data set
• B. The difference of data points from the highest value
• C. The difference of data points from the mean
• D. The total number of data points

Answer: (C)

Variance measures the degree to which individual data points in a dataset differ from the mean (average) of that dataset. It quantifies the spread or dispersion of the values in the dataset. When you calculate variance, you take each data point, subtract the mean, square the result to ensure all differences are non-negative, and then average those squared differences. This process provides a numerical value that indicates how much the data points deviate from the mean, helping to understand the variability within the data. Thus, option C accurately describes the concept of variance in statistical analysis.

Variance measures the degree to which individual data points in a dataset differ from the mean (average) of that dataset. It quantifies the spread or dispersion of the values in the dataset. When you calculate variance, you take each data point, subtract the mean, square the result to ensure all differences are non-negative, and then average those squared differences. This process provides a numerical value that indicates how much the data points deviate from the mean, helping to understand the variability within the data. Thus, option C accurately describes the concept of variance in statistical analysis.