Find the Mean 86 , 15 , 75 , 40 , 51 , 60 , 27 , 45 , 112 , 7 , 65 , 31 , 18 , 27 , 69

$86$ , $15$ , $75$ , $40$ , $51$ , $60$ , $27$ , $45$ , $112$ , $7$ , $65$ , $31$ , $18$ , $27$ , $69$

Step 1

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

$\frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Step 2

Simplify the numerator.

Add $86$ and $15$ .

$\frac{101 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $101$ and $75$ .

$\frac{176 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $176$ and $40$ .

$\frac{216 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $216$ and $51$ .

$\frac{267 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $267$ and $60$ .

$\frac{327 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $327$ and $27$ .

$\frac{354 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $354$ and $45$ .

$\frac{399 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $399$ and $112$ .

$\frac{511 + 7 + 65 + 31 + 18 + 27 + 69}{15}$

Add $511$ and $7$ .

$\frac{518 + 65 + 31 + 18 + 27 + 69}{15}$

Add $518$ and $65$ .

$\frac{583 + 31 + 18 + 27 + 69}{15}$

Add $583$ and $31$ .

$\frac{614 + 18 + 27 + 69}{15}$

Add $614$ and $18$ .

$\frac{632 + 27 + 69}{15}$

Add $632$ and $27$ .

$\frac{659 + 69}{15}$

Add $659$ and $69$ .

$\frac{728}{15}$

Step 3

Divide.

$48.5\overline{3}$

Step 4

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$48.5$

Find the Mean 86 , 15 , 75 , 40 , 51 , 60 , 27 , 45 , 112 , 7 , 65 , 31 , 18 , 27 , 69

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