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
joja [24]
2 years ago
8

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

on tell you about this data? (20 points) I NEEDDDDD THISSSSSS PLSSSSSSSSSSSSSSSS
Mathematics
1 answer:
Ket [755]2 years ago
8 0

Answer:

\sigma = 11.28 --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}

\bar x = \frac{7531}{91}

\bar x = 82.76

Next, calculate the variance using the following formula:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}

\sigma^2 = \frac{11580.6816}{91}

\sigma^2 = 127.26

Lastly, take the square root of the variance to get the standard deviation

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{127.26}

\sigma = 11.28 --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

You might be interested in
A scalene triangle is _______ isosceles.<br><br> - Sometimes<br> - Always<br> - Never
cricket20 [7]

Answer:

never

Step-by-step explanation:

Scalene triangles have no sides equal.

5 0
3 years ago
Please help me with this question
kipiarov [429]

Answer:

x = 21.8°

Step-by-step explanation:

tan = opposite / adjacent

tan x = 8/20

tan^-1 = 21.8°

5 0
3 years ago
Read 2 more answers
What equation is described below?
slega [8]

Answer:

7×7=49

Step-by-step explanation:

Is means equals and times means multiply

7×7=49

True

7−7=49

7-7=0  False

7+7=49

7+7 =14  False

49÷7=7

True but this is not the equation described above

7×7=48

49False

8 0
3 years ago
I really need help on question 19, 21, and 23 please help
ale4655 [162]

Answer:

there blurd out  

Step-by-step explanation:

3 0
2 years ago
How do you solve, 2=2y-x and 23=5y- 4x , using the substitution method
kicyunya [14]
2= 2y - x
23 = 5y - 4x

isolate the x in the first equation

x = 2y - 2

now use this to substitute x in the second equation

23 = 5y - 4 (2y - 2)
23 = 5y - 8y + 6
23 = -3y + 6
-3y = 17
y = -5 2/3 (5.6 repeating )

now use that to find x in either equation.

2 = 2 (-5.66666) - x
2= -11.3 repeating - x
13.3 repeating = -x
x = -13.3 repeating

optional ** use the second equation to check
5 0
3 years ago
Other questions:
  • "In the diagram, m = 128° and m = 76°. What is mABC?
    9·2 answers
  • if the movie theater seats 328 people, what is the max amount of money the theater can bring in during a showing
    10·1 answer
  • Compare using &lt; or &gt; 8.86_ 8.65​
    14·1 answer
  • What is the slope and y-intercept of this line?y -6x 2
    6·1 answer
  • Whats the difference of the two expression? (3/7x+9)-(2/7x-3)
    6·1 answer
  • HELP ASAP<br> Compare the volume of these two shapes, given the radii are the same.
    13·1 answer
  • Can someone help me with math?
    13·1 answer
  • Which equation is represented by the table
    10·2 answers
  • Find an expression for the area enclosed by quadrilateral ABCD below.
    14·2 answers
  • Determine whether the data in the table can be modeled by a linear equation. Explain.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!