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
STALIN [3.7K]
3 years ago
13

On a 10-item test, three students in Professor Hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. F

or this distribution of test scores, the standard deviation is equal to the square root of A) 4. B) 5. C) 6. D) 9
Mathematics
2 answers:
Inessa [10]3 years ago
4 0

Answer:

For this distribution of test scores, the standard deviation is equal to the square root of 9

D) 9

Step-by-step explanation:

We need to know the standard deviation formula:

S=\sqrt{\frac{sum(x-Am)^2}{n-1} } (1)

Where:

S: Standard deviation

sum: Summation

x: Sample values

Am: Arithmetic mean

n:   Number of terms, in this case 3

Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

Am=\frac{2+5+8}{3} = 5

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.

(x-Am)^2 of each term:

(2-5)^2=9\\(5-5)^2=0\\(8-5)^2=9

Now, we can find the standard deviation:

S=\sqrt{\frac{9+0+9}{3-1} } \\S=\sqrt{\frac{18}{2} } \\S=\sqrt{9}

The standard deviation is equal to the square root of 9

docker41 [41]3 years ago
3 0

Answer:

D) 9

Step-by-step explanation:

Standard Deviation is Calculated by formula:  

Standard deviation(\sigma) = Standard deviation(\sigma) = \sqrt{\frac{1}{n-1}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

First: Calculating Mean of 2, 5 and 8:

\text{Mean}(\bar x)=\frac{2+5+8}{3} = 5

Then Standard deviation is:

Standard deviation(\sigma) = \sqrt{\frac{1}{3-1}\sum_{i=1}^{n}{(x_{i}-5)^{2}} }

⇒ \sigma = \sqrt{\frac{1}{2}[{(2-5)^{2}}+{(5-5)^{2}}+{(8-5)^{2}} } =\sqrt 9

You might be interested in
20a + 158 +6c = 20 (6) + 15 (4) + 6(8)<br> +<br> ?<br> +<br> ?
Jobisdone [24]

Step-by-step explanation:

20a + 158+6c=you will expand the brackets

= so it is 120+60+48

20a+158+6c=120+60+48

20a+ 6c=120+60+48-158

20a+6c=70

20a divide by 20+6c divide by 6 on both side

a + c = 0.58

7 0
2 years ago
Can someone please help? I am having trouble with this question. Thank you so much.
Nikitich [7]

Answer:

32  =  26

d 2 =  32

Step-by-step explanation: UMU

7 0
3 years ago
Bill has 5 times as many baseball cards as Fred. Tim has 3 fewer than 4 times as many baseball cards as Fred. In all they have 1
son4ous [18]
67, 40 and 60 is how many each has
6 0
3 years ago
Constructing Parallel Lines
Orlov [11]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

Learn more about Equation of Line:

brainly.com/question/21511618

#SPJ1

6 0
2 years ago
Factor the following expression using the GCF: 16b + 40ab
LuckyWell [14K]
The greatest common factor is 8b. The reason is because both values have a factor of 8 and a factor of b. It is also the largest number.

See photo below

5 0
2 years ago
Other questions:
  • Two 1.60cm×1.60cm plates that form a parallel-plate capacitor are charged to ± 0.711nC . What is the potential difference across
    8·2 answers
  • The level of cholesterol in the blood of women aged 20 to 55 in a particular country is normally distributed with mean 212 mg/dl
    13·1 answer
  • A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total
    5·1 answer
  • What do 8:5 16:10. 24:15 what do these ratios have in common.
    7·2 answers
  • 6- 3= c solve for c
    11·2 answers
  • Alycia created a personal budget for the upcoming month. She received a salary of $2,700 and had various fixed and variable expe
    13·1 answer
  • hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii i need help so ya pleasssseeeee oh and answer all of them
    5·1 answer
  • I need help, I don't quite understand
    5·2 answers
  • Solve for x to the nearest tenth.
    6·1 answer
  • a Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest for
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!