Respuesta :
The standard deviation of 22, 29, 21, 24, 27, 28, 25, 36 is 19.75.
What is standard deviation ?
"The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean."
"Standard deviation is an especially useful tool in investing and trading strategies as it helps measure market and security volatility—and predict performance trends. As it relates to investing, for example, an index fund is likely to have a low standard deviation versus its benchmark index, as the fund's goal is to replicate the index."
The given numbers are 22, 29, 21, 24, 27, 28, 25, 36.
The formula for standard deviation is [tex]\sqrt({ $\sum_{n=1}^{n} (xi - mean)^2/n )= 1$}[/tex]
Finding mean of given numbers = 22+29+21+24+27+28+25+36/8 = 26.5
Now for standard deviation =[tex]\sqrt((22-26.5)^2 + (26.5-29)^2 + (26.5-21)^2+(26.5-24)^2+(26.5-27)^2+(26.5-28)^2+(26.5-25)^2+(26.5-36)^2/8 )[/tex]
= 19.75
Hence, the standard deviation of the given numbers is 19.75
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