geometric mean of {9, 9, 5, 6, 7, 8, 8, 7, 7, 6, 6, 8, 8}

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for inverse tangent line

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geometric mean 9, 9, 5, 6, 7, 8, 8, 7, 7, 6, 6, 8, 8

Solution

7.12924…

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Solution steps

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Geometric Mean

For a data set with n terms, the geometric mean is nth root of the product of the values in that set.
If our data set contains the values a₁, … , a_n (n elements) then the geometric mean=ⁿ√a₁·a₂⋯a_n

Compute the product of the data set: a₁·a₂⋯a_n=122903101440

Compute the number of terms in the data set: n=13

Compute ⁿ√a₁·a₂⋯a_n: 7.12924…

=7.12924…

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

geometric mean of {9, 9, 5, 6, 7, 8, 8, 7, 7, 6, 6, 8, 8}

Solution

Solution steps

Number Line