The scores on a statistics test had a mean of 81 and a standard deviation of 9. One student was absent on the test day and his score wasn't included in the calculation. If his score of 78 was added to the distribution of scores, what would happen to the mean and standard deviation?

A) Mean will increase, standard deviation will decrease.

B) Mean will increase, standard deviation will increase.

C) Mean will decrease, standard deviation will stay the same.

D) Mean will decrease, standard deviation will increase.

E) Mean will decrease, standard deviation will decrease.

Answers

Answer 1

Answer: E) Mean will decrease, standard deviation will decrease

Step-by-step explanation:

Initial mean = 81

Initial standard deviation = 9

New score = 78

Taking a look at the initial mean(averahe) score, which is 81 and the new score to be added to the initial scores, the initial average is greater than the new score. Hence, this will result in a decrease in the new mean score after adding the new score of 78.

Also, taking a look at the standard deviation which is 9, we can conclude that the variability in initial scores from the mean scores is high. However, the new score of 78 and the initial mean are very close, and tend to low variation. Hence, adding the new score will lead to a decrease in variability and hence a decrease in the value of standard deviation.


Related Questions

Which expressions are equivalent to 5 (d+6) ?

Answers

Answer:

[tex] \boxed{5 (d+6)} \: is \: equivalent \: to \: \boxed{5 (m+6)} \\ if \: both \: \boxed{m} \: and \: \boxed{d} \: has \: the \: same \: value.[/tex]

Step-by-step explanation:

♨Rage♨

4(3x + 3) = 3(5x + 0.5)
What is the value of x?

Answers

Answer:

x=3.5

Step-by-step explanation:

X= 3.5
(remove the parentheses)
12x+12=15x+1.5
12x-12=15x+1.5
12x-15x =1.5-12
-3x = -10.5
(divide both sides by -3)
x= 3.5

Mrs. Frasier is making costumes for the school play. Each costume requires 0.75 yard of fabric. She bought 6 yards of fabric. How many costumes can Mrs. Frasier make?

Answers

Step-by-step explanation:

0.75 yard = 1 costume

1 yard = 1/0.75 =4/3 costume

6 yards = 4/3 × 6 = 8 costumes

if you wanna check,

8 costumes = 6 yards

1 costume = 6/ 8

= 3/4 (0.75) yard

All the people of a neighborhood pooled together and won the lottery they won 10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

what is the y-intercept using these coordinates?

(1.8, 2.25) & (4, 5)

Answers

Answer:

(0,0)

Step-by-step explanation:

-5x - 4 = 3x + 12 what is the value of x

Answers

Answer:

x=-2

Step-by-step explanation:

Check out the image. It says it all. If you still don't understand then there's some lovely lessons on Khan academy explaining this. :)

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]-5x - 4 = 3x + 12[/tex]

-Take [tex]3x[/tex] and subtract it from [tex]-5x[/tex]:

[tex]-5x - 4 - 3x = 3x - 3x + 12[/tex]

[tex]-8x - 4 = 12[/tex]

-Add [tex]4[/tex] to both sides:

[tex]-8x - 4 + 4 = 12 + 4[/tex]

[tex]-8x = 16[/tex]

-Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-2[/tex].

Which of these tables represents a non-linear function?
х
17
18
y у
20
19
18
17
19
20
Х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
У
16
17
19
20

Answers

Answer:

Abstract. The aim of the second and final part of this study is to simulate fatigue crack growth in the ... The proposed method is based on conducting finite element ... I for the mode-mixity phase angle –20 are used as the inputs to the finite element ... П17ч. For plane strain conditions,. Sц ij ╪ Sij ю. Si3Sj3. S33. П18ч. 462.

Step-by-step explanation: There you go. I know im really smart and i always wanna help!!

Is negative 2 bigger then negative 6​

Answers

Answer:

Yes, negative 2 is bigger than negative six.

Answer:

(-2 is greater than -6 )it is the lower the it is such as -2 the way you know which is greater is by whatever negative is closer to 0 or to the positive numbers.

Step-by-step explanation:

Hope this heped!

If it costs $5.25 for a 1 pound 3 ounces of beef, how much will it cost for 8 pounds?

Answers

Answer:

35.84$

Step-by-step explanation:

1Ib 3oz beef = 5.25$

1 pound equals 16 ounces

8 {times} 16 = 128

1lb 3oz quals 19 ounces

5.25$ {divided by} 19 = 0.28$

128 {times} 0.28$ = 35.84$

i really need help its for the Pythagorean theorem

Answers

\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{minipage}{6cm}\sf N{a}me of the school\\\sf Notice \\\\\sf Date:- Date/month/year\\\\\bf Heading\\\sf Body/Content\\\\Signature \\N{a}me \\Designation\end{minipage}}\end{gathered}\end{gathered}\end{gathered}\begin{

5. Eighteen more than four times a number is 114. Write and solve the equation.
a. 18+ 4x = 114; x = 24
b. 18 - 4x = 114; x = -24
c. 18x + 4 = 114; x = 93
d. 18x - 4= 114; x = 6.5

Answers

Answer:

A.

Step-by-step explanation:

18 more than meaning addition

Four times a number meaning multiplying a number we don't know yet

Is 114, or equals 114.

Equation: 18 + 4x = 114; x = 24

18 + 4(24) = 114

18 + 96 = 114

Jennifer invites her friends over for a party. Her mother buys a value pack of party favors. She removes 2 damaged pieces from the entire lot and divides the rest equally in 10 goody bags. If each bag contains 7 party favors, how many party favors were there initially?

Answers

Answer:

72

Step-by-step explanation:

Call the amount she started with, x

she removes 2

x - 2

then she divides it by 10

(x - 2)/10

each bag contains 7 pieces

(x - 2)/10 = 7

so now solve using inverse operations

(x - 2)/10 = 7

        *10    *10

x - 2 = 70

  +2    +2

x = 72

The first golfer had a score of +6 and the second golfer had a score of -3. How many more shots did the first golfer take. 1.The first golfer had a score of +6 and the second golfer had a score of -3. How many more shots did the first golfer take. 1.

Answers

Answer:

9 more shots

Step-by-step explanation:

If the first golfer had a score of +6 and the second golfer had a score of -3, in order to know how many more shots the first golfer take, we will take the difference between both goals as shown;

= 6-(-3)

= 6+3

= 9

Hence the first golfer took 9 more shots than the second.

Answer:

9

Step-by-step explanation:

Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?
–15 degrees
–9 degrees
–3 degrees
3 degrees

Answers

Answer:

–9º on the first day

Step-by-step explanation:

hope this helps, please mark brainliest :((

Answer:

-9 degrees

Step-by-step explanation:

hope this helps! from  e d g e n u i t y

find x and y
i need help fast

Answers

Step-by-step explanation:

here you go have my x and y

if the radius of Circle A is 2 inches the radius of circle B is 3 1/4 inches and the radius of circle C is 1 inch what is the perimeter of ABC

Answers

Answer:  The perimeter of triangle ABC is 12 1/2 inches.

Step-by-step explanation:  Each radius given is used twice in the diagram to connect to the radii of the adjacent circles to form the sides of the triangle.

So the perimeter of the triangle is found by adding twice the length of each radius.

P= 2( 2 + 3 1/4 + 1)

P= 2( 6 1/4)

P = 12 1/2

What is the value of cosC?
15/8
8/15
15/17
8/17

Answers

Answer: 15/17

Step-by-step explanation: I took the K12 Math test!

Based on the trigonometric calculations, the value of cosC is equal to: C. 15/17.

The types of trigonometry graph.

In Mathematics, there are six (6) types of trigonometry graph that are used to graphically represent a trigonometric function and these include:

SineCosine Tangent CosecantSecantCotangent

Based on the right-angled triangle attached, we can deduce the following parameters:

Opposite side (BA) = 8 units.

Adjacent side (BC) = 15 units.

Hypotenuse (AC) = 17 units.

In trigonometry, cosine (cos) is given by this mathematical expression:

cosC = BC/AC

cosC = 15/17.

Read more on cosine function here: https://brainly.com/question/4599903

#SPJ2


Translate the point (0, 1) 1 unit down and 5 units right
)

Answers

Answer:

(5,0)

Step-by-step explanation:

1 unit down means y-1 which is 1-1=0

5 units right means x+5 which is 0+5=5

if it is unclear or you need more explanation, ask freely.

Look : ( 0 , 1 ) ----¢ one unit down = ( 0 , 0 )

----¢ five units right = ( 5 , 0 )

jack borrowed $600 from his dad and paid him back $475 how much does he still owe his dad

Answers

Answer:

125

Step-by-step explanation:

600-475=

Answer:

125

Step-by-step explanation:

$600 subtract 475 = 125

HELP ME Explain plsss

Answers

Hey :)

When you add -5 and 5 you’ll get 0

So the final answer is 3


Hope this helps!

answer is 3

The property we used is associative and first we did 5 + 3 which is 8 and -5 + 8 which is 3

Look at image attached:

Answers

Option A= 36 + 27 pi is the correct answer

Area of square= 6*6 = 36

Area of the remaining circle = 3/4*pi*r^2

= 3/4*pi*6^2= 27*pi

Thus, total area = area of square+ area of circle

36 + 27pi

Which expressions have a sum greater than 20? Select all that apply.
A 15.16 + 4.09
B. 0.8 + 19.3
C. 13.36 + 6
D. 8.3 + 11.8
DE 10.09 + 9.9

Answers

Answer:

0.8 + 19.3 and 10.09 + 9.9

Step-by-step explanation:

Hope this helps Plz give brainliest

Answer:

23

Step-by-step explanationis chillingwithmeme

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$ thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$ thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a​ bachelor's is ​$ nothing thousand and the average yearly salary for an individual whose final degree is a​ master's is ​$ nothing thousand.

Answers

Complete question :

Suppose the average yearly salary of an individual whose final degree is a master's is $55 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn ?$116 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = $59,000

Step-by-step explanation:

Let:

Average salary of a bachelor's degree = b

Salary of a master's holder = 2b - 55000

Combined salary of both degrees :

b + (2b - 55000) = 116000

b + 2b - 55000 = 116000

3b = 116000 + 55000

3b = 171000

Divide both sides by 3

3b/3 = 171000/3

b = 57000

Hence,

Average salary of a bachelor's degree holder = $57,000

Average salary of a master's degree holder = 2(57000) - 55000 = 59,000

How do i graph -7x-2y=-21???

Answers

Answer:

-7/2 is the slope. -10.5 is your starting point on the y-axis. You go from -10.5, up 7 and over to the left 2 times because it's negative.

Step-by-step explanation:

-7x-2y=-21

-2y=7x-21

y=-7/2x-21/2

y=-7/2x-10.5

Hope this helps!

You might want to simplify the equation first. Basically, we'll use y = ax+b instead.

[tex]-7x-2y=-21\\-2y=-21+7x\\y=\frac{-21}{-2}+\frac{7x}{-2} \\y=\frac{21}{2}-\frac{7x}{2}\\y=\frac{21-7x}{2}[/tex]

Should have been like this then you are able to graph.

To graph, you need to find the x-intercept and y-intercept.

(1) Find x-intercept, substitute y = 0

[tex]0=\frac{21-7x}{2} \\0=21-7x\\7x=21\\x=3[/tex]

Thus, the graph has a x-intercept at (3,0). For those who are wondering where does the fractional 2 go, just multiply the whole equation by 2 to get rid of the fraction.

(2) Find y-intercept, substitute x = 0

[tex]y=\frac{21-7x}{2}\\ y=\frac{21-0}{2}\\ y=\frac{21}{2} \\[/tex]

Also 21/2 = 10.5, Thus the graph passes y-axis at (0, 10.5)

Now plot the graph, make a line from x-intercept and y-intercept and you should get like this (Picture below.)

-3x + 8=17
explain how to solve this two-step equation plz

Answers

Answer: X= -3

Step-by-step explanation:

First you would subtract 8 from both sides so you have...

-3x=17-8

Simplify...

-3x=9

Divide by -3 to get

x= 9/-3

x= -3

17
-8
——
9

9/3=3. It’s basically doing the problem backwards. X=3

Jean received grades of 75% and 65% on her
first two tests. What does she need to score on
the next exam to have an 80% average on all
three tests?
a. 85
b. 90
c. 95
d. 100

Answers

the correct answer is D

65+75+100= 240 divided it by 3 equal 80%

-5 + x + x + 13
Plzzz help me out

Answers

Answer:

2x + 8

Step-by-step explanation:

Step 1: Define expression

-5 + x + x + 13

Step 2: Combine like terms (x)

-5 + 2x + 13

Step 3: Combine like terms (constants)

2x + 8

Find the distance between the points (3, 2) and
(6, 6).

Answers

Answer:

(3,4)

Step-by-step explanation:

hii pls help me, I’m terrible at math!

Answers

Answer:

The answer is x = 31/25.

Step-by-step explanation:

You put x on one side and the numbers on the other and basically get your answer.

Exact form is X=31/25
Decimal x=1.25

Please help asap i will be giving brainliest

Answers

Answer:

d

Step-by-step explanation:

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