Estimate the measure of angle 1
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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:
117.5 ft²
Step-by-step explanation:
To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.
First, we will find the area of the given square, by using the formula , multiplying the length and width. The dimensions of this square are 14×14.
14 · 14 = 196
The area of the square is 196 ft².
We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula . With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.
A = 5²
We will use 3.14 for .
A = 78.5
The area of both the semicircles is 78.5 ft².
Now, we can subtract.
196 - 78.5 = 117.5
The area of the figure is 117.5 ft².
Good luck ^^