Find the Mean 23 , 32 , 20 , 43 , 41 , 66 , 63 , 59 , 54 , 36 , 45 , 61 , 55 , 44 , 47

$23$ , $32$ , $20$ , $43$ , $41$ , $66$ , $63$ , $59$ , $54$ , $36$ , $45$ , $61$ , $55$ , $44$ , $47$

Step 1

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

$\frac{23 + 32 + 20 + 43 + 41 + 66 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Step 2

Simplify the numerator.

Add $23$ and $32$ .

$\frac{55 + 20 + 43 + 41 + 66 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $55$ and $20$ .

$\frac{75 + 43 + 41 + 66 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $75$ and $43$ .

$\frac{118 + 41 + 66 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $118$ and $41$ .

$\frac{159 + 66 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $159$ and $66$ .

$\frac{225 + 63 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $225$ and $63$ .

$\frac{288 + 59 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $288$ and $59$ .

$\frac{347 + 54 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $347$ and $54$ .

$\frac{401 + 36 + 45 + 61 + 55 + 44 + 47}{15}$

Add $401$ and $36$ .

$\frac{437 + 45 + 61 + 55 + 44 + 47}{15}$

Add $437$ and $45$ .

$\frac{482 + 61 + 55 + 44 + 47}{15}$

Add $482$ and $61$ .

$\frac{543 + 55 + 44 + 47}{15}$

Add $543$ and $55$ .

$\frac{598 + 44 + 47}{15}$

Add $598$ and $44$ .

$\frac{642 + 47}{15}$

Add $642$ and $47$ .

$\frac{689}{15}$

Step 3

Divide.

$45.9\overline{3}$

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.

$45.9$

Find the Mean 23 , 32 , 20 , 43 , 41 , 66 , 63 , 59 , 54 , 36 , 45 , 61 , 55 , 44 , 47

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