Mathematics, 11.02.2020 20:39 mikewalton566

This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places. x 10.1 45.6 18.9 17.9 18.1 15.7 26.7 36.9

Mean =

Standard Deviation =

Variance =

Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.

Population Standard Deviation =

Answers: 3

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Answer from: zibnmustafah

Mean = 189.9

Standard Deviation = 31697.093

Variance = 178.037

Population Standard Deviation = 166.538 .

Step-by-step explanation:

We are given the following data below;

X X - X bar $(X - Xbar)^{2}$

10.1 10.1 - 189.9 = -179.8 32328.04

45.6 45.6 - 189.9 = -144.3 20822.49

18.9 18.9 - 189.9 = -171 29241

17.9 17.9 - 189.9 = -172 29584

18.1 18.1 - 189.9 = -171.8 29515.24

15.7 15.7 - 189.9 = -174.2 30345.64

26.7 26.7 - 189.9 = -163.2 26634.24

36.9 36.9 - 189.9 = -153 23409

$\sum (X-Xbar)^{2}$ = 221879.65

Mean, X bar = $\frac{\sum X}{n}$ = $\frac{10.1 +45.6+ 18.9+ 17.9+ 18.1+ 15.7+ 26.7+ 36.9}{8}$

= 189.9

Variance = $\frac{\sum (X - Xbar)^{2} }{n-1}$ = $\frac{221879.65}{8-1}$ = 31697.093

Standard deviation = $\sqrt{\frac{\sum (X - Xbar)^{2} }{n-1}}$ = $\sqrt{31697.093}$ = 178.037

Now we find that the data was actually from a population so now the formula for Population Standard deviation is given by = $\sqrt{\frac{\sum (X - Xbar)^{2} }{n}}$

Population Standard Deviation = $\sqrt{\frac{221879.65 }{8}}$ = 166.538 .

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

Answer from: Quest

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2. incorrect.

Hans wanted to find the length of the hypotenuse of the triangle. which statement correctly identifi

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