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Find the Mean 362 , 356 , 362 , 357 , 362 , 406

$362$ ,

$356$ ,

$362$ ,

$357$ ,

$362$ ,

$406$

Step 1

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

$\frac{362 + 356 + 362 + 357 + 362 + 406}{6}$

Step 2

Simplify the numerator.

Add

$362$ and

$356$ .

$\frac{718 + 362 + 357 + 362 + 406}{6}$

Add

$718$ and

$362$ .

$\frac{1080 + 357 + 362 + 406}{6}$

Add

$1080$ and

$357$ .

$\frac{1437 + 362 + 406}{6}$

Add

$1437$ and

$362$ .

$\frac{1799 + 406}{6}$

Add

$1799$ and

$406$ .

$\frac{2205}{6}$

$\frac{2205}{6}$

Step 3

Cancel the common factor of

$2205$ and

$6$ .

Factor

$3$ out of

$2205$ .

$\frac{3 (735)}{6}$

Cancel the common factors.

Factor

$3$ out of

$6$ .

$\frac{3 \cdot 735}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 \cdot 735}{3 \cdot 2}$

Rewrite the expression.

$\frac{735}{2}$

$\frac{735}{2}$

$\frac{735}{2}$

Step 4

Divide.

$367.5$

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