Asked by Shykerian Watson on Jun 16, 2024
Verified
The value of the standard deviation will always exceed that of the variance.
Standard Deviation
A measure that quantifies the amount of variation or dispersion of a set of data values, showing how much variation there is from the mean.
Variance
The measure of spread in a distribution, representing the average of the squared differences from the mean.
- Identify the importance of measures of spread (standard deviation, variance) and central points (mean, median, mode) in the summarization of data.
- Recognize fitting instances for the application of diverse indices of variability and central location.
- Expound on the procedures for calculating variance and standard deviation, and their importance in data scrutiny.
Verified Answer
NN
Nazareth NavarroJun 18, 2024
Final Answer :
False
Explanation :
The standard deviation is the square root of the variance, so it is typically smaller than the variance for any given set of data, except when the variance is less than or equal to 1.
Learning Objectives
- Identify the importance of measures of spread (standard deviation, variance) and central points (mean, median, mode) in the summarization of data.
- Recognize fitting instances for the application of diverse indices of variability and central location.
- Expound on the procedures for calculating variance and standard deviation, and their importance in data scrutiny.