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3 years ago

Find the standard deviation of the sample data set.

Mathematics

2 answers:

Leviafan [203]3 years ago

6 0

Answer:

the answer is B

Step-by-step explanation:

jeka57 [31]3 years ago

4 0

Answer:

Option A) 4.4 is the correct standard deviation of the the given data set.

Step-by-step explanation:

We are given the following data set:

127, 135, 128, 131, 133, 127, 122

Formula:

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

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

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

Solving:

$Mean =\displaystyle\frac{903}{7} = 129$

Sum of squares of differences = 4 + 36 + 1 + 4 + 16 + 4 + 49 = 114

$S.D = \sqrt{\frac{114}{6}} = 4.358898944 \approx 4.4$

Option A) is the correct standard deviation of the the given data set.

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For (a)-(e), state the property of water that is significant, and give one example of that property is biological importance: (a

Diano4ka-milaya [45]

A) high transparency of visible light
significance= allows photosynthesis to happen and speed up chemical reactions

b) high cohesion because of hydrogen bonding
significance= transport of water relies on water being pulled up around the plant.

4 0

3 years ago

If you have the equation, y=2x+10 what’s x if y=24

jolli1 [7]

Answer: x=7

24=2x+10

24-10=14

14=2x

14/2=7

6 0

3 years ago

If the ceos salary of 1,000,000 is taken out of the list what I would happen to the mean and median 25,25,25,35,35,45,45,55,55

Mama L [17]

Answer:

Both the mean and median decrease.

Step-by-step explanation:

Median (without 1,000,000):

25, 25, 25, 35, 35, 45, 45, 55, 55

= 35

Median (with 1,000,000):

25, 25, 25, 35, 35, 45, 45, 55, 55, 1,000,000

= average of 35 and 45

= 40

As you can see, without the outlier, the value of the median decreases.

Mean (without 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55) / 9

= 38.3

Mean (with 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55 + 1,000,000) / 10

= 100,0034.5

As you can see, without the outlier, the value of the mean dramatically decreases.

6 0

2 years ago

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

8 0

3 years ago

What is 15 plus 27? comon people, i need this answer fast, Linda this question is for u, so we can talk... ok

Crank

Answer:

42 bro

Step-by-step explanation:

3 0

3 years ago