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ehidna [41]
3 years ago
8

What is the mean, variance, and standard deviation of the values? Round to the nearest tenth. 1,9,4,12,13,13

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:


M = \frac{1+4+9+12+13+13}{6} = \frac{52}{6} = 8.6


To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:


D' = 1-8.6,9-8.6,4-8.6,12-8.6,13-8.6,13-8.6


D' = -7.6, 0.4, -4.6, 3.4, 4.4, 4.4


Now we need those difference squared:


(D')^2 = 57.76, 0.16, 21.16, 11.56, 19.36, 19.36


The variance is the mean of this new vector, so


\sigma^2 = \frac{57.76+ 0.16+ 21.16+ 11.56+ 19.36+ 19.36}{6} = \frac{129.36}{6} = 21.6


Finally, the standard deviation is simply the square root of the variance, so you have


\sigma = \sqrt{21.6} = 4.6

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Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

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Step-by-step explanation:

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3 0
2 years ago
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Bad White [126]

Answer:

y=1/2x+3

Step-by-step explanation:

So the slope formula is y=mx+b. Where mx is the slope and b is the y-intercept. In this case our slope is 1/2 because we rise by one unit and run by 2 units. The y-intercept in this case is 3 because on the y axis the line intersects over 3.

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The two cones below are similar. What is the value of x?
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Answer:

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Step-by-step explanation:

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----- = ------

2         x

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3 0
2 years ago
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nasty-shy [4]
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