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
Nadya [2.5K]
3 years ago
12

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

on of the data set

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

You might be interested in
Compare the rates to find which is the better value.<br> ​$60 for 100 flyers or ​$95 for 250 flyers
Elis [28]
95 is the better deal it’s only 35 more bucks and you get 150 more.
8 0
3 years ago
The table shows four numbers. -34<br>-0.4 0.4 ​
kvv77 [185]

Answer:

What do you have to do with the numbers

3 0
3 years ago
Please help... #18 and #28
Vesna [10]
I hope this helps you

5 0
3 years ago
Read 2 more answers
Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how ol
NeTakaya
I believe she is 6 I am not positive about it
7 0
2 years ago
HELP ME WITH THIS QUESTION PLEASE
lukranit [14]

Answer:

The 3rd one is the correct answer.

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the number pi correct to 5 decimal places<br><br> PLEASE ANSWER CORRECTLY
    12·2 answers
  • How do I put -(x-4)^2 -1 into standard form
    13·1 answer
  • Cindy has a poster in the shape of a parallelogram. What is the area of this parallelogram? 2.85 ft² 3.60 ft² 4.35 ft² 15.21 ft²
    14·1 answer
  • Find the value of x. Round to the nearest tenth
    14·1 answer
  • Show that the class of closed intervals [a, b], where a is rational and b is irrational and a &lt; b, is a base for a topology o
    7·1 answer
  • Suzie sells a box of 8 muffins for $7.60. What is the price per muffin?
    11·1 answer
  • Find the x-intercept and y-intercept of the line 4x - 3y= -12.
    9·1 answer
  • PLEASE HELP IMAGE ATTACHED⚠️⚠️⚠️⚠️⚠️
    14·1 answer
  • Which is the better buy? Explain.
    10·2 answers
  • 5 Quick algebra 1 questions for 50 points! <br><br><br> Only answer if you know all 5, Tysm! :)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!