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
andriy [413]
3 years ago
10

Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me

an is 10 (Type an integer or decimal.) The standard deviation is (Do not round until the final-answer. Then round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer All parts showing
Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer: The range is 13.  The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10

The standard deviation is given by :-

\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62

The range of the data : Maximum value -Minimum value

=16-3=13

You might be interested in
What is the measure of the major arc?
Sav [38]

The answer is D) 210 because arc eog is 150 and is the minor arc. A whole circle is 360 therefore 360-150=210

8 0
3 years ago
Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases by 1.5%. Write an equation for the populatio
steposvetlana [31]

Given:

In 2010, the population of a town = 2000

Every year, it increase by 1.5%

To find the equation P(t) which represents the population of this town t years from 2010.

Formula

If a be the original population of a town and it increases by b% every year, after t year the population will be

a (1+\frac{b}{100} )^{t}

Now,

Taking, a  =2000, b = 1.5 we get,

P(t) = 2000(1+\frac{1.5}{100} )^{t}

or, P(t) = 2000(1+0.015)^{t}

Hence,

The population of this town t years from 2010 P(t) = 2000(1+0.015)^{t}, Option D.

7 0
3 years ago
What is the slope indicated in the table below? Х 10 20 40 Y 20 17 14 11 30​
Leya [2.2K]

Answer:

answer might be

10/-3

Step-by-step explanation:

3 0
2 years ago
Plz help me I have no idea how to do this
Leviafan [203]

Answer:

0.8

Step-by-step explanation:

cos z = 8/10 = 0.8

8 0
3 years ago
Given the quadratic relation y = -x2 + 6x - 6, a) write the equation in vertex form b) graph the quadratic relation (using noteb
Mekhanik [1.2K]
<h3>Answer:</h3>
  • y = -(x -3)² +3 . . . . (agrees with your answer)
  • see the attachment for a graph
<h3>Step-by-step explanation:</h3>

Factoring the leading -1 from the first two terms, we have ...

... y = -(x² -6x) -6

Adding 9 inside parentheses to complete the square, then adding the opposite amount outside parentheses, we have ...

... y = -(x² -6x +9) -6 +9

... y = -(x -3)² +3

8 0
3 years ago
Other questions:
  • I need help can somebody help
    13·1 answer
  • The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 5 inche
    9·1 answer
  • Which part of an atom is actively exchanged or shared in a chemical bond? proton neutron electron all of the above
    10·2 answers
  • A nature museum has 2008 specimens of early birds, some with 222 wings and some with 444 wings. The specimens have a total of 40
    8·1 answer
  • How many calories are in 1 cup of chocolate ice cream
    6·1 answer
  • What is the hypotenuse
    12·1 answer
  • Twice as many points as bob in algebraic expression !!PLZ HELP!!
    8·2 answers
  • A thrill ride at an amusement park holds a maximum of 12 people per ride.
    6·1 answer
  • What are the factors of 16 that have a sum of 0
    6·1 answer
  • Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!