## Formulas of maths

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Formulas of maths: Mean, Geometric Mean, Harmonic mean, Median, Low Median, High Median, Variance, Mode, Multi Mode, Standard Deviation.

Mean

The mean is the average of the numbers.

N=(sum of terms)/(number of terms)

The mean can be used to get an overall idea or picture of the data set. Mean is best used for a data set with numbers that are close together.

Geometric Mean

The geometric mean is a type of average , usually used for growth rates, like population growth or interest rates.

Harmonic mean

Harmonic means are often used in averaging things like rates (e.g., the average travel speed given a duration of several trips).

Median

Median is best used for a data set with numbers that have a few larger or smaller numbers and have several numbers close together. One large or small number might skew the mean, but the median can often give you a better idea of the data.

Low Median

Return the low median of numeric data. If data is empty, StatisticsError is raised. data can be a sequence or iterable. The low median is always a member of the data set. When the number of data points is odd, the middle value is returned. When it is even, the smaller of the two middle values is returned.

High Median

Return the high median of data. If data is empty, StatisticsError is raised. data can be a sequence or iterable. The high median is always a member of the data set. When the number of data points is odd, the middle value is returned. When it is even, the larger of the two middle values is returned.

Variance

The variance (σ2), is defined as the sum of the squared distances of each term in the distribution from the mean (μ), divided by the number of terms in the distribution (N)

Mode

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Multi Mode

Return a list of the most frequently occurring values in the order they were first encountered in the data. Will return more than one result if there are multiple modes or an empty list if the data is empty:

Standard Deviation

A population dataset contains all members of a specified group (the entire list of possible data values). For example, the population may be “ALL people living in Canada”. A sample dataset contains a part, or a subset, of a population. The size of a sample is always less than the size of the population from which it is taken.

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