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
marin [14]
3 years ago
8

What is the standard deviation of the following data set rounded to the nearest tenth?

Mathematics
2 answers:
tamaranim1 [39]3 years ago
8 0
Formula\ for\ standard\ deviation\ :\\\\
x=\sqrt{y^2}\\
y-variance\\\\
y^2=\frac{(a_1-a)^2+(a_2-a)^2...+(a_n-a)^2}{n}\\
n-amount\ of\ numbers\\
a-mean\\\
a=\frac{11+5+12+8+5+12+10}{7} =\frac{63}{7}=9\\\\
y^2=\frac{(11-9)^2+(5-9)^2+(12-9)^2+(8-9)^2+(5-9)^2(12-9)^2+(10-9)^2}{7}
\\y^2=\frac{(2)^2+(-4)^2+(3)^2+(-1)^2+(-4)^2+(3)^2+1^2}{7}=\\ \frac{4+16+9+1+16+9+1}{7}=\frac{56}{7}=8\\\\
x=\sqrt8=2\sqrt2

Masteriza [31]3 years ago
6 0
\overline{x}\ \rightarrow\ the\ arithmetic\ mean\ \ \ \Rightarrow\ \ \ \overline{x}= \frac{11+5+12+8+5+12+10}{7} = \frac{63}{7} =9\\\\\sigma\ \rightarrow\ the\ standard\ deviation\\\\\sigma^2= \frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+...+(x_n-\overline{x})^2}{n} \\\\ \sigma^2= \frac{(11-9)^2+2\cdot(5-9)^2+2\cdot(12-9)^2+(8-9)^2+(10-9)^2}{7}=\\\\= \frac{2^2+2\cdot(-4)^2+2\cdot3^2+(-1)^2+1^2}{7} = \frac{4+32+18+1+1}{7} = \frac{56}{7} =8\ \ \Rightarrow\ \ \sigma= \sqrt{8} \approx2.8
You might be interested in
Help me pleaseeeeeeeeeeeee
postnew [5]

Answer:

Parallel

Step-by-step explanation:

The run right by each other not touching

3 0
3 years ago
Read 2 more answers
(-4y3 – 5y +16) + (4y2 – y + 9) =
velikii [3]

Answer:

-4y^3 + 4y^2 - 6y + 25

Step-by-step explanation:

<u>Step 1:  Distribute the plus</u>

(-4y^3 – 5y +16) + (4y^2 – y + 9)

-4y^3 - 5y + 16 + 4y^2 - y + 9

<u>Step 2:  Combine like terms</u>

-4y^3 - 5y + 16 + 4y^2 - y + 9

-4y^3 + 4y^2 - 6y + 25

6 0
3 years ago
If a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is
swat32

Answer:

A = 10.9 cm^2

Step-by-step explanation:

If a circle has a radius of 13 and a sector defined by a 7.4 degree arc, the area, in cms, of the sector is 10.9 cm^2 or 10 cm^2 to the nearest tenth.

8 0
4 years ago
Put -2, 33, -33, -100, -101, -99, 0, -1, 1, 100, 99 and 25 in order from greatest to least.
gregori [183]

101, 100, 99, 33, 25, 2, 1, 0

You put the same numbers by accident

3 0
3 years ago
If 2×2=4 and 4×4=8. What is 8×8?​
Oxana [17]

Answer:

64

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Your dinner bill is $25 before tax. The tax rate is 8%. You decide to give the waiter 10% tip based on your pre-tax bill. What i
    9·2 answers
  • Among all rectangles that have a perimeter of 176, find the dimensions of the one whose area is largest. write your answers as f
    7·2 answers
  • A sample is random sample is valid
    13·2 answers
  • A Women making $29 an hour gets a 15% raise. How much money will she make after 4 hours of working with the increased hourly pay
    10·2 answers
  • A System of equations is created by using the lies that is created by the equation 3X-2Y= -4 in a line that is created by the da
    14·1 answer
  • What is the difference when 2x^3+x-5 is subtracted from 6x^3-x^2+4x+8?
    5·1 answer
  • Please help‼️‼️ Will mark brainliest
    7·1 answer
  • Solve the system of equations by substitution.
    6·1 answer
  • Y is directly proportional to (x-4) when x=16, y=3 find y in terms of x
    7·2 answers
  • What is the sum of a seven-term geometric series if the first term is -2, the last term is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!