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
maksim [4K]
3 years ago
15

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

Mathematics
1 answer:
Bond [772]3 years ago
7 0
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
You might be interested in
While playing with magnetic building tiles, Natalie constructed a square pyramid out of
Dovator [93]

The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

<h3>Volume of the orange pyramid</h3>

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

  • A is the base area of the pyramid
  • h is the height of the pyramid

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

<h3>Volume of the green pyramid</h3>

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

<h3>Height of the green pyramid</h3>

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

Learn more about area of pyramid here: brainly.com/question/22744289

#SPJ1

5 0
2 years ago
You are an assistant director of the alumni association at a local university. You attend a presentation given by the university
NNADVOKAT [17]

Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

<h2> p1 -p2 ± z*\sqrt{((1-p1)*p1)/n1 + ((1-p2)*p2/n2}</h2>

0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = <u>0.102</u>

= 0.02 - 0.082 = <u>-0.062</u>

<u>There is 95% confidence that there is a difference that lies between  - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>

<u></u>

<u>There is no significant difference between the two.</u>

5 0
3 years ago
The next model of a sports car will cost 4.7% more than the current model. The current model costs $48,000. How much will the pr
Mashcka [7]

Answer:

increase - $2256

price - $50256

Step-by-step explanation:

multiply the percent (in decimal form) by the original cost

48000(0.47)=2256

the increase is $2256

to find the price of it, add the two prices together.

48000+2256=50256

7 0
3 years ago
Read 2 more answers
Describe the angle as it relates to the digram <br> ;) :)
11Alexandr11 [23.1K]
The answer elevation /_angle B /_ V
6 0
3 years ago
Read 2 more answers
20 POINTS
victus00 [196]

Ni is not correct. To solve the equivalent quarterly interest rate, the annual interest rate should be multiplied by the correct ratio. Since the annual interest rate is 4% per year. So in 1 quarter is equal to 0.25 year.

<span>(4% / year) (0.25 year/ 1 quarter) = 1% per quarter</span>

8 0
3 years ago
Other questions:
  • A car factory can build 14 cars in 4 hours. <br><br> How many cars can it build in 7 hours?
    13·1 answer
  • -27+9-3+1 using sigma notation
    14·1 answer
  • Help me please on this problem
    12·1 answer
  • Use me for points why not
    12·2 answers
  • Can someone help me so i can do the rest like this on my own/
    8·1 answer
  • Evaluate |6(-7)-4| - |-4|·|7| + 8(3)
    5·2 answers
  • A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing t
    13·2 answers
  • Does 2+2 REALLY equal 5? There has been proof. But is it really correct?
    7·1 answer
  • Evaluate the expression when b=3 and c=6.
    7·1 answer
  • The diameter of a circle is 62cm
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!