The standard deviation is 6.09
The variance is 37.04.
<h3>What is the standard deviation and variance?</h3>
Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
In order to determine the standard deviation, take the following steps:
- Determine the mean of the observation: (162 + 166 + 179 + 170 + 175) / 5 = 170.40
- Determine the difference between each value and the mean and then square the result:
(162 - 170.40)² + (166- 170.40)² + (179 - 170.40)² + (170 - 170.40)² + (175 - 170.40)²
70.56 + 19.36 + 73.96 + 0.16 + 21.16 = 185.20
- Determine the mean of the sum of the squared differences and then find the square root of the mean:
√185.20 / 5 = 6.09
Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset.
6.09² = 37.04
To learn more about standard deviation, please check: brainly.com/question/26201837
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Answer:
10% no rounding really necessary.
Step-by-step explanation:
Percent of reduction is basically asking, what do you need to multiply the original by to get the new number. So it's algebra.
40x = 36
x = 36/40
x = .9
So this means 36 is 90% of 40. So how much of a percent was taken away? 10. So that means it is 10% off.
if it helps you can think of percent increase or decrease like this . If you have some original value P and want to reduce/ increase by a percent x you would write it out like this.
P + x*P = P(1+x) where of course x is negative if you are decreasing. And you want x to be written as a decimal, so 34% would be .34 So in this case it would look like this.
36 = 40(1-x)
.9 = 1-x
-.1 = -x
.1 = x
So that's another way to get to the answer.
I don’t know if I’m 100% correct you might want to double check but I have a picture of my answer.
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Really just depends on how much you give them. For example, if you give them $4 you will get $3 in change.
