teyannaharris8664 teyannaharris8664
  • 14-02-2020
  • Mathematics
contestada

The nth root of the product of the n observations is the a. weighted mean. b. product deviation. c. product variance. d. geometric mean.

Respuesta :

berno berno
  • 15-02-2020

Answer:

Option d.

Step-by-step explanation:

The nth root of the product of the n observations is the geometric mean.

Geometric mean uses the product of values of the data set to indicate the central tendency of the data set.

For a set [tex]\left \{ x_1,x_2,x_3,...,x_n \right \}[/tex], geometric mean is defined as [tex]\sqrt[n]{x_1x_2x_3...x_n}[/tex] i.e., [tex]\left ( \prod_{i=1}^{n}x_i \right )^{\frac{1}{n}}[/tex]

Here, the symbol [tex]\prod[/tex] denotes multiplication.

Therefore, option d, is correct.

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