# Measures of Variability

Measures of variability provide crucial insights into the dispersion or spread of data points within a dataset. They offer a quantitative understanding of how much individual data points deviate from the central tendency, such as the mean or median. Common measures of variability include the range, which encapsulates the difference between the maximum and minimum values, and more sophisticated measures like the standard deviation and variance, which provide a deeper understanding of the distribution's shape and the extent of deviation from the mean. These measures are fundamental tools in statistical analysis, aiding in the interpretation and comparison of data sets across various fields.

- What is the variance of {-13, 10, 8, -3, 6, 12, 7}?
- If the standard deviation of a distribution is s = 7, what is its variance?
- What is the variance of {15, 4, 2, -7, 8, 10}?
- What is the variance of the data set 49, 2, 52, 15, 25, 9, 3, 5 to the nearest hundredth?
- What can covariance be used for?
- What is the variance of {-7, 12, 14, 8, -10, 0, 14}?
- How do you calculate the range of a data set?
- What is the mathematical formula for calculating the variance of a discrete random variable?
- What is the variance of a probability distribution function of the form: #f(x)=ke^(-2x)#?
- How do you determine the variance of a Poisson distribution?
- What are the range, median, mean, and standard deviation of: {22, 12, 19, 24, 22, 21, 17, 14, 22, 20, 26, 10}?
- What is the variance of a geometric distribution for a given pobability?
- Why is the range of a data set seldom used in statistical analysis?
- For the data set 6, 34, 12, and 14, what is the range?
- What is the sample standard deviation formula?
- Can the standard deviation ever be negative?
- What are the variance and standard deviation of {8, 29, 57, 3, 8, 95, 7, 37, 5, 8}?
- Which data set has a larger standard deviation? First Data Set: 2, 4, 6, 8 Second Data Set: 12, 12, 12, 12
- If data with a normal distribution has a mean of 100 and a standard deviation of 15, what is the probability of a value being greater than 110?
- What are the symbols for the sample variance and for the population variance?