Manuals/calci/DEVSQ

DEVSQ(n1,n2...)

• where $n1,n2..$ are any real numbers.

Description

• This function gives the sum of Squares of Deviation of a given set of numbers.
• The steps to calculate:

1. Find the mean.
2. Find the deviation of each value. For that, subtract all numbers with its mean value.
3. Square each Deviation Values and find its sum.

$DEVSQ=\sum (x_{i}-{\bar {x}})^{2}$ where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x_i} is the every observation and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{x}} is the Arithmetic Mean.

• Here we have to give more than one arguments and arguments can be either numbers,names,logical values,

arrays or cell references that contain numbers.

• Also cells with the value of '0' are considered and the arguments contains text, logical values or empty cells are ignored.

This function will give the result as error, when the text couldn't be converted to numbers.

Examples

• DEVSQ(50,52, 54, 56, 58, 60)

Steps

1. Mean = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{50+52+ 54+ 56+ 58+ 60}{6} = \frac{330}{6} = 55}
2. Deviation =Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle |50-55|,|52-55|,|54-55|,|56-55|,|58-55|,|60-55| = 5,3,1,1,3,5}
3. Squares of Deviation = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 5^2,3^2,1^2,1^2,3^2,5^2 = 25+9+1+1+9+25 = 70}

• DEVSQ(5,-10,13,-7,9) = 404
• DEVSQ(1.2,6.4,8.3,5.7,10) = 44.068

See Also

• AVEDEV
• STDEV

References

Squared Deviations