1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gregori [183]
3 years ago
7

Calculate the variance of the following set of data. 3, 33, 303, 233, 3, 73, 83, 63

Mathematics
2 answers:
andrew-mc [135]3 years ago
4 0

Answer:

12083.929

Step-by-step explanation:

First step: find the mean of the data.

mean = <u>3</u><u>+</u><u>3</u><u>3</u><u>+</u><u>3</u><u>0</u><u>3</u><u>+</u><u>2</u><u>3</u><u>3</u><u>+</u><u>3</u><u>+</u><u>7</u><u>3</u><u>+</u><u>8</u><u>3</u><u>+</u><u>6</u><u>3</u>

8

= <u>7</u><u>9</u><u>4</u>

8

= 99.25

Second step: Now we calculate each dog's difference from the Mean.

Example : 3–99.25=96.25

Answer: (-96.25)+(-66.25)+203.75+133.75+(-96.25)+(-26.25)+(-16.25)+(36.25)

Third step: To calculate the Variance, take each difference, square it, and then average the result.

s² = <u>(-96.25)</u><u>²</u><u>+(-66.25)</u><u>²</u><u>+203.75</u><u>²</u><u>+133.75</u><u>²</u><u>+(-96.25)</u><u>²</u><u>+(-26.25)</u><u>²</u><u>+(-16.25)</u><u>²</u><u>+(36.25)</u><u>²</u>

8–1

=<u> </u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>3</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>1</u><u>5</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>7</u><u>8</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>6</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>3</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u>

7

=<u> </u><u>8</u><u>4</u><u>5</u><u>8</u><u>7</u><u>.</u><u>5</u>

7

= 12083.929

Variance Formula:

<u> </u><u> </u>

Variance = s² =<u>Σ(</u><u>x</u><u>i−</u><u> </u><u>x</u><u> </u><u>)</u><u>²</u>

n−1

yawa3891 [41]3 years ago
4 0

Answer:

its 12084

Step-by-step explanation:

on my test

You might be interested in
A woman had $200. She went to a meatshop,
alukav5142 [94]
Ok then after that what’s the question ?
6 0
3 years ago
Select all the expressions that represent the large rectangle's total area can't find the answer please help
koban [17]
Where are the expressions. you didn’t attach anything
8 0
3 years ago
A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation
pantera1 [17]

Solution :

                    <u>Sample size</u>      <u> Sample mean</u>            <u> Sample S.D.</u>

Sample 1        $n_1=36$              $\bar{x}_1=150,000$               $s_1=17,000$

Sample 2       $n_2=45$              $\bar{x}_2=100,000$               $s_2=12,000$

$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, $t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

                                          = 559.9896

Lower limit, $(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$

Upper limit,  $(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$

Therefore 90% C.I. is (44402.0104, 55597.9896)   or $44402.0104 < \mu_1 - \mu_2 < 55597.9896$

5 0
3 years ago
-2√8-√2-2√8 can u help me solve this
Charra [1.4K]
See picture for answer.

4 0
4 years ago
1. Simplifying Equation Below<br> please help!!
vichka [17]

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • -36 divided by (-12).
    9·1 answer
  • Mae Ling earns a weekly salary of $360 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if
    15·1 answer
  • at megs party there were 14 chocolate cupcakes for every 21 vanilla cupcakes what was the ratio of chocolate cupcakes to vanilla
    7·1 answer
  • Find the midpoint of AB if A(-3, 8) and B(-7, -6). <br> (-5,7)<br> (2,1) <br> (-5,1) <br> (2,7)​
    7·1 answer
  • If PQR ~ SQT, find the value of x
    10·1 answer
  • A car weighs 2332 pounds. If 372 pounds of old parts are removed and replaced with 412 pounds of new parts, find new weights of
    12·1 answer
  • What’s the answer ?
    11·1 answer
  • A recent survey showed that among 725 randomly selected subjects who completed 4 years of college, 139 smoke and 586 do not smok
    8·1 answer
  • If mZ1= 140, what is m_3?<br> 900<br> 500<br> 1300<br> 400
    8·1 answer
  • Let f(x) = x + 4 and g(x) = x – 3. If g is a vertical translation of f, how many units and in what direction is f translated to
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!