The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
Answers
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
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Related Questions
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 3 centimeters.
What is the volume of the prism?
20 cm3
36 cm3
47 cm3
60 cm3
Answers
Answer:
60 cm3 is the volume of the prism
Step-by-step explanation:
Because the formula for volume is length * width * height!
please mark the brainliest!
Answer:
60
Step-by-step explanation:
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answers
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
Answers
The radius of a circle is 6.1 millimeters. What is the circle's area?
Answers
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
answer 7 and 8 for 16 points
Answers
9514 1404 393
Answer:
7) 42 yd²
8) 32 in²
Step-by-step explanation:
Put the given numbers in the appropriate area formula and do the arithmetic.
__
7) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . where b is the base length and h is the height
A = 1/2(12 yd)(7 yd)
A = 42 yd²
__
8) The area of a parallelogram is given by the formula ...
A = bh
A = (8 in)(4 in)
A = 32 in²
Find the surface area of the cone. Round answer to the nearest tenth.*
Answers
Answer:
628.319 rounded= 628.3
Step-by-step
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answers
Answer:
17.728
Step-by-step explanation:
H
45
G
8
F
3
Ε
Find
cos FHE.
Answers
Answer:
no sé pero lo nesesito porfavor
Answer:
Its B. 4/5
Step-by-step explanation:
on edge 2020 :)
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
Answers
So money received by Ryan will be “x+7”
Now,
Money spent by Bryan: 28
Money saved by Bryan:50
So,
Money received by Bryan: 28+50=78
Money. Received by Ryan:78+7=85
Hope this is the correct answer
Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.
P-P H-P R-P
P-H H-H R-H
P-R R-R
What is the missing term for this compound event? What is the sample size?
A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.
Answers
Answer:
B). The missing term is H-R, and the sample size is 9.
Step-by-step explanation:
Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.
As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.
Answer: the answer is B :)
Step-by-step explanation:
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
Answers
Find the absolute value
|-7|
Answers
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
which table shows data with variability?
Answers
Answer:
the table should show the data
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answers
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answers
Answer:
9/8
Step-by-step explanation:
.........................
2x + 2 y = -2
3x - 2y = 12
Answers
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answers
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
17/3 divided by 2/3 help please!:))
Answers
Answer:
0.94444444444
A high school student volunteers to
present a report to the administration about the types of lunches students prefer.
He surveys members of his class and records their choices. What type of sampling did the student use?
systematic random sampling
voluntary sampling
• convenience sampling
stratified sampling
Answers
Answer:
convenience sampling
Step-by-step explanation:
You and your friend enter a drawing with 3 different prizes. A total of 11 people entered the drawing, and prizes are awarded randomly.
There are 990 ways to award the prizes.
What is the probability that you win first prize and your friend wins second prize?
A. [tex]\frac{1}{11}[/tex]
B. [tex]\frac{9}{990}[/tex]
C. [tex]\frac{1}{990}[/tex]
D. [tex]\frac{11}{990}[/tex]
Answers
The probability that you win first prize and your friend wins second prize is given as follows:
B. 9/990.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
990.
The number of desired outcomes is of 9, as:
You win the first prize.Your friend wins the second prize.There are 11 - 2 = 9 people that can win the third prize.Hence:
1 x 1 x 9 = 9.
Meaning that the probability is of:
p = 9/990.
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Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answers
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.
Answers
Answer:
Option C
Step-by-step explanation:
The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct
As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect
Option D is true to its words , hence it is also a wrong choice for this question
Hence, option C is correct
Answer:
You can resolve poor data collection by increasing the sample size
Step-by-step explanation:
-5 3/4 - 3 1/2 =?
A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3
Answers
Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
Get a common denominator
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-8 5/4
Rewritng
-8 4/4 - 1/4
-9 1/4
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answers
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
Question 5
A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on
a spin is calculated and given in the table.
©
1
3
4
5
Section
Probability
2
0.20
0.40
0.20
0.15
0.05
A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?
Answers
Answer:
The correct answer is 100
Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?
Answers
Answer:
480 minutes or 8 hours
Step-by-step explanation:
1 student = 15 minutes
32 students = x
x= 32 students *15 minutes
x= 480 minutes
480 minutes it takes for all of his students to present their reports.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Students= 32
Each student can take = 15 minutes.
So, time taken by 32 students
= 32 x 15
= 480 minutes.
Hence, students take 480 minutes to complete the report.
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NEED 22-24 AND 31-33 FAST
Answers
Answer:
22-24= -2
31-33= -2
Step-by-step explanation:
The identity (x2 + y2) = (x2 - y2) + (2xy)? can be used to generate Pythagorean triples. What
Pythagorean triple could be generated using x=8 and y=3
Answers
Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
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Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answers
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
How many degrees Fahrenheit is -20°C?
Answers
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!