Of 60 cities, 3 have a lake and 29 have a river running through them. What fraction of these 60 cities have a lake or river runn
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The standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.
<h3>What is the standard deviation?</h3>It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have a data set:
8, 16, 14, 8, 16
As we know the formula for standard deviation is:
Here σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observation in data set.
X = (8+16+14+8+16)/5 = 12.4
n = 5
After calculating the standard deviation will be:
σ = 3.67
Add 8 to each data value to get the new data set 16, 24, 22, 16, 24.
New standard deviation:
σ(new) = 3.67
The standard deviation of both the data are same we can say the standard deviation does not change when we add a constant to each data value.
Adding the same constant c to each data value results in the standard deviation remaining the same.
Thus, the standard deviation of both the data are the same which is 3.67 and adding the same constant c to each data value results in the standard deviation remaining the same.
Learn more about the standard deviation here:
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Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:
Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8