(10 points for the answer) y=

Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi

Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$s = \sqrt{\dfrac{875.5}{7}} = 11.18$

$\text{ Sample variance} = s^2 = 125.07$

Population:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

$\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46$

$\text{ Population variance} = \sigma^2 = 109.44$

7 0

3 years ago

10 (2y + 2) - y = 2 (8y - 8)

Ede4ka [16]

Answer:

10(2y+2)= 10.2y+10.2

20y+20-y

2(8y-8)=2.8y-2.8

20y+20-y=16y-16

20y-16y-y=-20-16

3y=-36

36/3y=?

y=-12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many different ways can four team members from the group of fifteen be lined up for a photograph?

damaskus [11]

Answer:

32760

Step-by-step explanation:

This is a permutation of 15 objects taken 4 at a time. To calculate this, we use the formula:

$_nP_r=\frac{n!}{(n-r)!}$

In our case, n is 15 and r is 4:

$_{15}P_4=\frac{15!}{(15-4)!}=\frac{15!}{11!}=32760$

6 0

3 years ago

Read 2 more answers

Evaluate the expression. 5 x (-6 / -1 + -10)

kotykmax [81]

Answer:

-20

Step-by-step explanation:

$5 * (-6 / -1+ -10)$

According to PEMDAS, we need to do the math in the parentheses first.

$-6 / -1 + -10$

Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.

$6 + -10$

Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.

$6 - 10$

Subtracting, we get 6 - 10 = -4 and we're left with:

$5 * (-4)$

Multiplying, our final answer is -20.

Hope this helps!

8 0

2 years ago

Find the slope. (-4, 10) (8, - 2)

s344n2d4d5 [400]

Answer:

is the slop in slope intercept form2=-2x

Step-by-step explanation:

-2--4

8- 10

2=-2x

5 0

2 years ago