Find the Mean 3.1 , 4.5 , 7.8 , 7.9 , 8.0 , 9.6 , 11.6

$3.1$ , $4.5$ , $7.8$ , $7.9$ , $8$ , $9.6$ , $11.6$

Step 1

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

$\frac{3.1 + 4.5 + 7.8 + 7.9 + 8 + 9.6 + 11.6}{7}$

Step 2

Simplify the numerator.

Add $3.1$ and $4.5$ .

$\frac{7.6 + 7.8 + 7.9 + 8 + 9.6 + 11.6}{7}$

Add $7.6$ and $7.8$ .

$\frac{15.4 + 7.9 + 8 + 9.6 + 11.6}{7}$

Add $15.4$ and $7.9$ .

$\frac{23.3 + 8 + 9.6 + 11.6}{7}$

Add $23.3$ and $8$ .

$\frac{31.3 + 9.6 + 11.6}{7}$

Add $31.3$ and $9.6$ .

$\frac{40.9 + 11.6}{7}$

Add $40.9$ and $11.6$ .

$\frac{52.5}{7}$

Step 3

Divide $52.5$ by $7$ .

$7.5$

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.

$7.5$

Find the Mean 3.1 , 4.5 , 7.8 , 7.9 , 8.0 , 9.6 , 11.6

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