Mathematics, 22.07.2019 03:00, dillongivenstheman

The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9. what is the sample standard deviation?

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answered: hjeffrey168

Hence, the sample standard deviation is:

1.1832

Step-by-step explanation:

The data is given by:

8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9.

The mean of these data points is given by:

$Mean(x')=\dfrac{8+8+8+5+9+8+7+6+6+7+7+7+7+9+9}{15}\\\\i.e.\\\\Mean(x')=\dfrac{111}{15}\\\\i.e.\\\\Mean(x')=7.4$

Now,

x x-x' (x-x')²

8 8-7.4=0.6 0.36

5 5-7.4= -2.4 5.76

9 9-7.4=1.6 2.56

8 8-7.4=0.6 0.36

7 7-7.4= -0.4 0.16

6 6-7.4= -1.4 1.96

7 7-7.4= -0.4 0.16

9 9-7.4=1.6 2.56

∑(x-x')²=19.69

Now the variance of the sample population is given by:

$Variance=\dfrac{\sum (x-x')^2}{n-1}$

where n is the number of data points.

Here n= 15

Hence, n-1=14

Hence, we get:

$Variance=\dfrac{19.6}{14}\\\\i.e.\\\\Variance=1.4$

We know that the standard deviation is the square root of the variance.

i.e.

$Standard\ deviation=\sqrt{1.4}\\\\i.e.\\\\Standard\ deviation=1.1832$

answered: Guest

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

-3 -3

y=-4x+5

Which of the following equations is equivalent to y+3=-4(x-2)?

answered: Guest

y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x y

0 0

1 -3

3 -9

-2 6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

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The numbers of rooms for 15 homes recently sold were: 8, 8, 8, 5, 9, 8, 7, 6, 6, 7, 7, 7, 7, 9, 9....