Answer the statistical measures and create a box and whiskers plot for the following set of data

2,5,7,8,8, 10, 11, 12, 14, 14, 15, 16, 18, 18, 19

Min:
Q1:
Med:
Q3:
Max:

Answer:

the mean is 65

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .

Solution:

The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 202, σ = 38.2

i) for student B, x = 199. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]

ii) for student D, x = 222. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]

iii) for student F, x = 172. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]

iv) for student H, x = 215. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]

For z = 2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]

For z = -2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]

Answer:

rational

Step-by-step explanation:

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Answer:

61.2

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

if the lines are parallel, the triangles are similar and thus proportional

set up a proportion:

22/8 = (6x+3)/12

8(6x+3) = (22)(12)

48x + 24 = 264

48x = 240

x = 5

Answer:

I think it would be W=1

Step-by-step explanation:

Hope this helps :-)

Answer:

The probability that both A and B occur is P = 0.01

Step-by-step explanation:

Both events A and B have a probability p of occurring.

Then both events A and B have a probability (1 - p) of NOT occurring.

The probability that neither A or B occurs is equal to the product of the individual probabilities, and this is equal to 0.81, then:

(1 - p)*(1 - p) = 0.81

1 - 2*p + p^2 = 0.81

p^2 - 2*p + 0.19 = 0

We can solve this if we use Bhaskara's equation, the two solutions are:

[tex]p = \frac{-(-2) +- \sqrt{(-2)^2 - 4*1*0.19} }{2*1} = \frac{2 + - 1.8}{2}[/tex]

Then the two solutions are:

p = (2 + 1.8)/2 = 3.8/2 = 1.9

A probability must be a number between zero and one, and this is larger than one, so this solution can be discarded.

the other solution is:

p = (2 - 1.8)/2 = 0.2/2 = 0.1

This means that the probability that event A occurs is p = 0.1

And the probability that event B occurs is p = 0.1

The probability that both events occur is equal to the product of the individual probabilities, which is:

P = 0.1*0.1 = 0.01

Answer:

u = 0

Step-by-step explanation:

hedh djsf

fjdg

ggf

Answer:

4 : 3

Step-by-step explanation:

ur welcome

Answer:

72

Step-by-step explanation:

because you do 8x9 and its 72

Answer:

72

Step-by-step explanation:

hope it helps

Answer:

1/4

Step-by-step explanation:

6/24 simplifies to 1/4. 1 shrub every 4 feet.

Answer:

Step-by-step explanation:

shes fastr

Answer:

week 4

Step-by-step explanation:

that is answer

Answer:

Rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

Step-by-step explanation:

Given that in a year there are a total of twelve months, if he slept for 33% of the year, to determine how many months are spent sleeping the following calculation must be performed:

12 - (12 x 33/100) = X

12 - (12 x 0.33) = X

12 - 3.96 = X

8.04 = X

12 - 8.04 = 3.96

Thus, rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

Answer:

i dont even understand this can u pls place an attachment of the problem pls

Answer:

A,

B

Step-by-step explanation:

If it's a 15 dollar variable fee and a flat 10 our equation looks like this

15c+10

which is the same as A

Now that we know the equation we can just plug a couple of numbers in

when c=3 what is h

15(3)+10=

55

THerefore the answer is B

Answer:

13) A

14) B

Step-by-step explanation:

For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically:  15 charge + 10 travel fee = hour.

Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.

Answer:

B. 288 In

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x*(x-2)-(288)=0

 x • (x - 2) -  288  = 0

Find two factors of  -288  whose sum equals the coefficient of the middle term, which is   -2 .

     -288    +    1    =    -287

     -144    +    2    =    -142

     -96    +    3    =    -93

     -72    +    4    =    -68

     -48    +    6    =    -42

     -36    +    8    =    -28

     -32    +    9    =    -23

     -24    +    12    =    -12

     -18    +    16    =    -2    That's it

Answer: 288

Answer:

1,300

Step-by-step explanation:

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300.

Answer: 1300

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300

Step-by-step explanation:

Answer:

74037.7t

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

-(4+2(-2) +3) -3(4) -2

-(4-4+3)-3(4)-2

-3-3(4)-2

-3-12-2

-17

Answer:

Step-by-step explanation:

A representation shows a proportional relationship between

[tex]x \: and \: y[/tex]

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

9514 1404 393

Answer:

  1) 240

  2) 211

Step-by-step explanation:

The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...

  1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...

When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.

  234₅ +1 = 240₅

  210₅ +1 = 211₅

Answer:

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-8 = 2y - 2

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it's a solution.

Here we see that -8 does indeed equal -8.

∴ y = -3 is the solution to the equation.

Answer:

A. 1/5

Step-by-step explanation:

To find scale factor, simply find the length of one side on the copy and divide by the length of the corresponding side on the original.

For instance, the top side of the copy is 1 unit long, and the top side of the original is 5 units long. So, take 1 divided by 5 to get a scale factor of 1/5.

Answer:

Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.