Find the mean of the list:
(10, 4, 2, 9, 5, 5, 0, 1, 1, 3)
State the definition of the mean.
The mean of a list of numbers is given by:
(sum of elements)/(number of elements)
Identify the sum of the elements.
(sum of elements) = 10+4+2+9+5+5+0+1+1+3:
(10+4+2+9+5+5+0+1+1+3)/(number of elements)
Next, find the number of elements.
Counting, we see that the list has 10 elements:
(10+4+2+9+5+5+0+1+1+3)/10
Look for the additive identity.
10+4+2+9+5+5+0+1+1+3 = 10+4+2+9+5+5+1+1+3:
10+4+2+9+5+5+1+1+3/10
Evaluate 10+4+2+9+5+5+1+1+3 using long addition.
| 3 |
| 1 | 0
| | 9
| | 5
| | 5
| | 4
| | 3
| | 2
| | 1
+ | | 1
| 4 | 0:
40/10
Reduce 40/10 to lowest terms. Start by finding the GCD of 40 and 10.
The gcd of 40 and 10 is 10, so 40/10 = (10×4)/(10×1) = 10/10×4 = 4:
Answer: |
| 4
