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
cluponka [151]
3 years ago
11

find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth

Mathematics
1 answer:
KatRina [158]3 years ago
7 0

Answer:

  • 3.0

Step-by-step explanation:

Sample standard deviation is found by steps below.

<u>Find the mean:</u>

  • μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2

<u>Find deviations from the mean and their squares:</u>

  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84
  • 13 - 12.2 = 0.8 ⇒ 0.8² = 0.64
  • 9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.24
  • 15 - 12.2 = 2.8 ⇒ 2.8² = 7.84

<u>Sum the squares:</u>

  • 10.24*2 + 7.84*2 + 0.64 = 36.8

<u>Divide by N - 1 (N - number of samples):</u>

  • 36.8/(5 - 1) = 9.2

<u>Square root is the sample standard deviation:</u>

  • σ = √9.2 = 3.0 (rounded)
You might be interested in
Which expression is equivalent to
VladimirAG [237]

Answer:

The answer is A which is X^3 3 root y

7 0
2 years ago
my yearly income is 18,000. My medical insurance premium is 230 a month. Is my medical premium 9.66% less then yearly income?
JulijaS [17]
NO.....9.66% less than $18,000 is $16,261.20
230×12= $2,760
7 0
3 years ago
Please help and choose letter and explaination
Dvinal [7]
C is the correct answer.

(7*60) +(7*3)

I hope this helps!
4 0
2 years ago
Read 2 more answers
I dont get it?? how do i set it up?? im so... confused?? can i get some helpm
snow_tiger [21]

Well, you need a diagram (see attached).

Since angle S = angle T then

9x -11 = 7x -3  ......  2x = 8 ........ x = 4

RS = RT = 4

There must be some more information that can't be seen


5 0
3 years ago
Please help IM OFFERING ALOT OF POINTS !!!!
VMariaS [17]

Answer:

cos 2Ф = - 161/289 , tan 2Ф = - 240/161

Step-by-step explanation:

* Lets explain how to solve the problem

∵ cos Ф = - 8/17

∵ Ф lies in the 3rd quadrant

- In the 3rd quadrant sin and cos are negative values, but tan is

 a positive value

∵ sin²Ф + cos²Ф = 1

∴ sin²Ф + (-8/17)² = 1

∴ sin²Ф + 64/289 = 1

- Subtract 64/289 from both sides

∴ sin²Ф = 225/289 ⇒ take √ for both sides

∴ sin Ф = ± 15/17

∵ Ф lies in the 3rd quadrant

∴ sin Ф = -15/17

∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle

∵ cos Ф = - 8/17

∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289

* cos 2Ф = - 161/289

∵ tan 2Ф = sin 2Ф/cos 2Ф

∵ sin 2Ф = 2 sin Ф × cos Ф

∵ sin Ф = - 15/17 and cos Ф = - 8/17

∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289

∵ cos 2Ф = - 161/289

∴ tan 2Ф = (240/289)/(-161/289) = - 240/161

* tan 2Ф = - 240/161

3 0
3 years ago
Other questions:
  • Name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6
    13·1 answer
  • Math help please.. number 13
    8·1 answer
  • Factor completely 3x2 − x − 4.
    15·1 answer
  • PLLLLLLLLLLZZZZZZZZZ
    6·2 answers
  • At a basketball championship game students were polled and 82% of the students said that basketball is better then football.
    5·2 answers
  • Martha has 20 more Oreos than Theo. Cla
    8·1 answer
  • What is the value of x?
    7·1 answer
  • NUMBER 41 FIND THE VALUE OF X
    8·1 answer
  • Find the value of Y. PLEASE HURRY
    9·1 answer
  • Stage 1: Cartesian Plane INFORMATION: A Cartesian Plane is used for sketching Graphs as well as to perform transformations. 1.1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!