Mean and Standard deviation

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

The median is the middle number in a sorted list of numbers. If there is an even number of observations, the median is the average of the two middle numbers.

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean, while a high standard deviation means that the values are spread out over a wider range.

To calculate the mean, add all the numbers together and divide by the total count of numbers.

The formula for standard deviation is: \( \sigma = \sqrt{\frac{\sum (x - \mu)^2}{N}} \) where \( \mu \) is the mean, \( x \) represents each value, and \( N \) is the number of values.

The mean is 73.

The mean is 98.

A standard deviation of 0 indicates that all values in the dataset are identical and there is no variation.

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

The mean is affected by extreme values (outliers), while the median is not, making the median a better measure of central tendency for skewed distributions.