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Find the Mean 2 , 5 , 11 , 20 , 32 , 47

$2$ ,

$5$ ,

$11$ ,

$20$ ,

$32$ ,

$47$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{2 + 5 + 11 + 20 + 32 + 47}{6}$

Step 2

Simplify the numerator.

Add

$2$ and

$5$ .

$\frac{7 + 11 + 20 + 32 + 47}{6}$

Add

$7$ and

$11$ .

$\frac{18 + 20 + 32 + 47}{6}$

Add

$18$ and

$20$ .

$\frac{38 + 32 + 47}{6}$

Add

$38$ and

$32$ .

$\frac{70 + 47}{6}$

Add

$70$ and

$47$ .

$\frac{117}{6}$

$\frac{117}{6}$

Step 3

Cancel the common factor of

$117$ and

$6$ .

Factor

$3$ out of

$117$ .

$\frac{3 (39)}{6}$

Cancel the common factors.

Factor

$3$ out of

$6$ .

$\frac{3 \cdot 39}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot 39}{3 \cdot 2}$

Rewrite the expression.

$\frac{39}{2}$

$\frac{39}{2}$

$\frac{39}{2}$

Step 4

Divide.

$19.5$

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