Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Slugging Percentages for Leading Major League Baseball Players

0.612 0.612 0.523 0.523
0.606 0.606 0.631 0.631
0.584 0.584 0.592 0.592
0.644 0.644 0.597 0.597
0.639 0.639 0.607 0.607
0.564 0.564 0.673 0.673

Answers

Answer 1

Answer:

[tex]s = 0.0394[/tex]

Step-by-step explanation:

Given:

0.612 0.523  0.606 0.631  0.584  0.592  0.644  0.597  0.639  0.607  0.564  0.673

Required

Calculate the sample standard deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]

[tex]\bar x = \frac{7.272}{12}[/tex]

[tex]\bar x = 0.606[/tex]

The sample standard deviation is then calculated using:

[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]

[tex]\sum (x - \bar x)^2 = 0.017098[/tex]

So, we have:

[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]

[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]

[tex]s = \sqrt{0.00155436363}[/tex]

[tex]s = 0.0394[/tex] -- approximated


Related Questions

helpppppppppppp! please

Answers

Answer:

x = 36

Step-by-step explanation:

2x + 3x = 180° (consecutive angles are supplementary)

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

Which two integers does the square root of 99 lie between?

Answers

Answer:  the square root of 99 lies somewhere between 9.9 and 10.

Step-by-step explanation:

Answer:9 and 10

Step-by-step explanation:

it was hw

Find the values of x, y, and z.

Answers

Answer:

x = 20°

y = 160°

z = 160°

Step-by-step explanation:

x = 20°

(Measure of arc is equal to the measure of its corresponding central angle)

z = 180° - 20°

(Linear pair angles)

z = 160°

y = z

(Measure of arc is equal to the measure of its corresponding central angle)

y = 160°

20, 160, 160 hope it helps

if the price of the petrol increases by 25%,Santosh intends to spend only 15% more on petrol,how much % should he reduce the quantity of petrol that he buys?​

Answers

Suppose Santosh buys quantity of gasoline today =x
Let today's price of gasoline be equal to=y

Santosh spends on gasoline today =xy

The new price of gasoline is
(increase by 25%)
=
1.25×y

Santosh wants to spend only 15% more,

he wants to spend=1.15 ×xy

Quantity he buys at new rate=
1.15 ×xy
------------ =
1.25×y

1.15x
--------
1.25

Reduction in quantity of purchase=

x- (1.15x/1.25) = 0.10x / 1.25

% Reduction in quantity of purchase of gasoline
=
0.10x
--------
1.25
--------------- ×100 =
x


0.10
-------- ×100
1.25

=
8%

Please help me please !

Answers

Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

What’s this shape called?

Answers

Answer:

This shape is called triangle

The shape is a concave polygon

MIDPOINT AND DISTANCE DUE TONIGHT NEED ASAP

Answers

Answer:

1. B

2. E

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

[tex]d = \sqrt{(11--7)^{2} + (-5-2) ^{2} } [/tex]

=19.31

0.5-(6-0.5), -2- (1--2)

0.5-5.5,-2-3

(-5,-5)

I need help FAST!!!!

Answers

Answer:

Step-by-step explanation:

okay, so here are a few methods you can use.

___

1) +

x + 7 = 10 so because this is addition we use the reverse, subtraction. So

x - 7 = 10 - 7 and that equals to 3.

2) -

x - 2 = 10 so because this is subtraction we do the reverse, addition.

x + 2 = 10 + 2 and that equals to 12.

3) x

x times 3 = 21 because this is multiplying we divide.

x/3 = 21/3 and that would be 7.

4) /

x/2 = 10 same as above, reverse is multiplying.

x times 2 = 10 times 2 and thats 20.

GL!

Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket.

The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get.
3 (x+1) = 3 1/3

How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound​

Answers

Answer: They have 1/3 pounds of fertilizer and 3 buckets

Step-by-step explanation:

What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)

A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2


Answers

Answer:

D) [tex]\frac{-3}{2}[/tex]

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that the points are (-4,10) and (4,-2)

we have to find that the slope of the line

Step(ii):-

Solution:-

                   [tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

                  [tex]m = \frac{-2-10}{4-(-4) }[/tex]

                 [tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]

Final answer:-

The slope of the line m =  [tex]\frac{-3}{2}[/tex]

6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!

Answers

18

Explanation:
4x6=24
2x3=6
24-6=18

Hope this helps!:)

What is the mean and range of 15 20 18 22 22 28 29

Answers

Answer:

Mean = 22

Range = 14

Step-by-step explanation:

pls give brainliest

each marble bag sold by Yoko's Marble Company contains 5 yellow marbles for every 6 red marbles. If a bag has 42 red marbles, how many yellow marbles does it contain?

Answers

35 yellow marbles
42/6=7
7x5=35

Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

Answers

Answer:

-5x^6 - 2x^5 + 4x^2 + 3x + 3

Step-by-step explanation:

Combine like terms from each of the polynomials.

(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)

(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)

Then, order them by degree.

-5x^6 -2x^5 + 4x^2 + 3x + 3

HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT


if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin

Answers

Answer:

( -1 , -2 )

Step-by-step explanation:

Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =

Answers

Step-by-step explanation:

r = 7x + 7y

8 = 7x + 7 ×2

8 = 7x + 14

7x = 14 - 8

7x = 6

X = 6 / 7

Answer:

it's clear right

Step-by-step explanation:

i hope it's helps

HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST

Answers

Answer:

.........(loading)....................

Step-by-step explanation:

...........................

Read the sentence.

She did not want to take sides in the argument.

Which of the following sentences means the same thing?

A.
She was neutral during the argument.

B.
She was outspoken during the argument.

C.
She was entitled during the argument.

D.
She was unequal during the argument.

Answers

Answer:

A

Step-by-step explanation:

I took the quick check : D

Answer:

A

Step-by-step explanation:

I already did the quick check too

Solve for the variable: (x – 3)2 = 0

Answers

Answer:

x=3

Step-by-step explanation:

(x-3)2=0

= 2x-6=0

= 2x=6

= x=3

Answer:

thw answer is x=3

Step-by-step explanation:

hoped I helped:)

the sum of a number and its multiplicative inverse is 5 times the number

Answers

Answer:

Holii me ayudas a ganar plis

is 6 a factor for 71

Answers

Answer:

no its not kpfkansnsbsdhdbdb

Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you

Answers

a

Step-by-step explanation:

Find the area of the shaded (gray) region.



Question 13 options:

24 cm squared


60 cm squared


84 cm squared


36 cm squared

Answers

60 cm squared that is the answer hope this helps

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

To know more about an expression follow

https://brainly.com/question/21813010

#SPJ7

A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles

Answers

Answer:

a. Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

b) Ending Inventory: Matrix D:

                            Hard      Soft      Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

Step-by-step explanation:

a) Data and Calculations:

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

Restocking: Matrix C

                           Hard    Soft       Plastic

San Francisco     500   1,400      1,400

Los Angeles       600      600       600

Total Sales over the first 6 months =

Matrix B * 6 = Matrix B6

Sales in January: Matrix B

                             Hard    Soft       Plastic

San Francisco       600     1,200     1,900

Los Angeles         300       200        400

* 6

=

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Matrix C6 = Matrix C * 6

=

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

Inventory at the end of June =

Matrix A + Matrix C6 - Matrix B6

= Matrix D

Stock on January 1: Matrix A

                              Hard    Soft       Plastic

San Francisco       1,000   2,000    6,000

Los Angeles         1,000   6,000    2,000

+

Restocking: Matrix C6

                           Hard     Soft       Plastic

San Francisco    3,000   8,400      8,400

Los Angeles      3,600   3,600      3,600

-

Sales from January to June: Matrix B6

                             Hard    Soft       Plastic

San Francisco     3,600   7,200     11,400

Los Angeles        1,800    1,200      2,400

Ending Inventory: Matrix D:

                             Hard      Soft       Plastic

San Francisco      400     3,200     3,000

Los Angeles     2,800     8,400     3,200

I need help finding the value of each express?

Answers

Answer:

part B (12)

part C (-6)

part D (6)

Step-by-step explanation:

just divide and multiply

Solve for n. 56 = -4n

Answers

Answer:

-14

Step-by-step explanation:

ok

A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?

Answers

rate*time=job
r*60 minutes =5 cakes
60r=5, divide off 60 to find her rate
r=1/12
1/12 * c minutes =job
i’m not sure if there’s meant to be a value for the C but if so just divide the time in minutes by twelve for the amount of cakes she would bake

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Evaluate the expression. (38 + 10) ÷ 12 + 52

Answers

48/12=4
4+52=56
Answer 56

Answer:

56

Step-by-step explanation:

(Use PEMDAS for the order of operations)

First, solve everything in parentheses. You get this:

48 ÷ 12 + 52

Next, divide. You get this:

4 + 52

Lastly, add for the answer:

56

PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.

Answers

Hey! I believe this is correct :) If you have any questions, feel free to ask!
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