We have the following data set:
2,7,15,3,12,9,15,8,3,10
The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.
2,3,3,7,8,9,10,12,15,15
Then,
Mean is represented by the following expression:
Population variance formula looks like this:
Then, substituting:
For the standard deviation:
![\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20s%3D%5Csqrt%5B%5D%7B%5Cfrac%7B%5Csum%20%5E%7B%7D_%7B%7D%28x-%5Cmu%29%5E2%7D%7BN%7D%7D%20%5C%5C%20s%3D4.521%20%5Cend%7Bgathered%7D)
There are two ways to solve this.
The first way is logically.
Mary can
-wear a pink dress with black shoes -wear a pink dress with white shoes
-wear a blue dress with black shoes -wear a blue dress with white shoes
-wear a yellow dress with black shoes - wear a yellow dress with white shoes
Count them up, and you'll get six combinations!
Another way is simply mathematically, which is easier in my opinion.
3 (different colored dresses) × 2 (different colored shoes) = 6 (combos)
The question is asking to find the variance for the said samples in the problem ans use the sample data to determine each variance, and base on my further computation and further calculation, I would say that the answer would be the following:
#1. 3.3 -> 1 and 3 -> 2/9
#2. 1-> 0->3/9
#3. 6.3 - > 8 and 3-> 2/9
#4 49-> 1 and 8-> 2/9
3 x + 7 = 2
3 x = 2 - 7
3 x = - 5
x = - 5/3
3 ( -5/3) + 7 = - 15/3 + 7 = - 5 + 7 = 2
9 hours received $800
1 hour will be = $800/9
If he had worked 5 hours would receive: $800/9 * 5 ≈ $444.44
He would receive ≈ $444.44
