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
Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250
V125BC [204]

Answer:

no mode

Step-by-step explanation:

no number appears more than once

therefore there is no mode

3 0
2 years ago
What is the radius of a circle if the diameter is 50 inches? (just type in your answer as a number only)
sergeinik [125]

Answer: Given radius (R) = 50

Diameter =  2R =  100

Circumference =  2πR

=  100π

=  314.15926535898

Area =  πR2

=  2500π

=  7853.9816339745

6 0
3 years ago
Read 2 more answers
Tessa claims that a rotation of 90° clockwise about the center of some polygons will carry the polygon onto itself. Select two p
DochEvi [55]
It's square and rhombus
5 0
3 years ago
Read 2 more answers
The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coeffic
kozerog [31]

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

6 0
3 years ago
Which point is an x interception of the quadratic function f(x)=(x-8)(x+9)
viva [34]

f(x)=(x-x_1)(x-x_2)\\\\(x_1,\ 0),\ (x_2,\ 0)-x\ interceptions

\text{We have}\ f(x)=(x-8)(x+9)=(x-8)(x-(-9))\\\\\text{therefore your answer is:}\\\\(8,\ 0),\ (-9,\ 0)

6 0
3 years ago
Read 2 more answers
Other questions:
  • In the top row of an chessboard, Tom writes the values 1, 2, 4, 8, 16, 32, 64, 128. In the leftmost column, Tom writes the value
    12·1 answer
  • WILL MARK BRAINLIEST PLEASE ANSWER QUESTION BELOW!!!
    14·1 answer
  • The correct answer is B. Can you explain this?
    15·1 answer
  • Solve 1/2 (- 4 + 6n) = (1+9). Check your solution .​
    13·1 answer
  • All parallelograms are rectangles true or false
    9·2 answers
  • Can someone please help me!!! Ill mark brainliest!!
    15·1 answer
  • Determine the domain with symbols, will give brainlist
    13·2 answers
  • PLEASE HELP PRE ALGEBRA EASY 10 POINTS
    8·1 answer
  • 8y +9 &gt; 41 please help im on a staar test.
    15·2 answers
  • Change 288 square inches to feet
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!