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

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

Step 1

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

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

Step 2

Simplify the numerator.

Add $20$ and $23$ .

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

Add $43$ and $32$ .

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

Add $75$ and $36$ .

$\frac{111 + 41 + 43 + 44 + 45 + 47 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $111$ and $41$ .

$\frac{152 + 43 + 44 + 45 + 47 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $152$ and $43$ .

$\frac{195 + 44 + 45 + 47 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $195$ and $44$ .

$\frac{239 + 45 + 47 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $239$ and $45$ .

$\frac{284 + 47 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $284$ and $47$ .

$\frac{331 + 54 + 55 + 59 + 61 + 63 + 66}{15}$

Add $331$ and $54$ .

$\frac{385 + 55 + 59 + 61 + 63 + 66}{15}$

Add $385$ and $55$ .

$\frac{440 + 59 + 61 + 63 + 66}{15}$

Add $440$ and $59$ .

$\frac{499 + 61 + 63 + 66}{15}$

Add $499$ and $61$ .

$\frac{560 + 63 + 66}{15}$

Add $560$ and $63$ .

$\frac{623 + 66}{15}$

Add $623$ and $66$ .

$\frac{689}{15}$

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

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