The following table shows the number of times key club students at Peconic high school went to echo beach last summer.

Number of echo beach trips: 5,6,8,9,12,14
Frequency: 8,7,11,15,3,4

a. How many students are in the key club?

b. Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth

The Following Table Shows The Number Of Times Key Club Students At Peconic High School Went To Echo Beach

Answers

Answer 1

a)  The students in the key club are 48students.

b)  The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4

What is meant by standard deviation?

The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.

Given,

The number of echo beach trips are 5,6,8,9,12,14.

And also given that the frequencies are 8,7,11,15,3,4

a) The students in the key club are,

∑[tex]F_{i}[/tex]=8+7+11+15+3+4

=48

∑[tex]F_{i}[/tex]=48

Therefore, the students in the key club are 48students.

b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]

=397/48

=8.27≈8.3

Therefore, Mean=8.3

Total number of observations=48

Here, it is an even number

[tex](48/2)^{th}[/tex]  [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position

X                      5       6            8                 9                     12              14

F                       8        7           11                 15                    3                 4

position           8    8+7=15   15+11=26    26+15=41         41+3=44    44+4=48

The value of X at  [tex]24^{th}[/tex] position is 8 and  [tex]25^{th}[/tex] position is also 8

Then, Median=(8+8)/2

=8

Therefore, Median=8.3

Mode= Highest frequency corresponding to X value

=9

Therefore, Mode=9

Range=Highest value-Lowest value

=14-5

=9

Therefore, Range=9

Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]

=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²

=87.12+37.03+0.99+7.35+41.07+129.96

=303.52

Therefore, variance=303.52

Standard deviation=√variance

=√303.52

=17.4

Therefore, standard deviation=17.4

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Related Questions

Edna bought a cube-shaped jewelry box that has 7-inch sides. The volume of a cube with side s is s3. What is the volume of the jewelry box?

Answers

The volume of the jewelry box will be;

⇒ 343 inch³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Edna bought a cube-shaped jewelry box that has 7-inch sides.

And, The volume of a cube with side s is s³.

Now,

Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.

Hence, The volume of the jewelry box = 7³

                                                            = 7 × 7 × 7

                                                            = 343 inch³

Thus, The volume of the jewelry box will be;

⇒ 343 inch³

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What does the term rhetorical situation refer to?
• A. Ideals
that a speaker uses to guide a speech no matter who the
audience is
• B. A specific occurrence in ancient Greece when politicians bullied
the people
• C. The relationship between the speaker, the speaker's style of
address, and the audience's expectations
• D. Parents, teachers, and other adults who are on social networking
sites

Answers

Answer:

Step-by-step explanation:

This term refers to any set of circumstances that involves at least one person using some sort of communication to modify the perspective of at least one other person.

Answer: c

Step-by-step explanation:

j took the quiz on apex

Suppose that 16 inches of wire costs 80 cents. At the same rate, how many inches of wire can be bought for 45 cents?​

Answers

9 inches. The math: the ratio of 16/80 is equal to 1/5. So, x/45 must also equal 1/5. (x/45=1/5) Multiply both sides of the equation by 45 to isolate the x value; x=9.

Can someone please help me with my math homework (m^2+2m-8)/(m+4) thanks and have a good day/night/evening.

Answers

Answer:

Below

Step-by-step explanation:

The numerator factors , so you have this:

(m+4)(m-2) / (m+4)         the (m+4) 's cancel and you are left with (m-2)

Sergio buys 684 red stickers and
729 blue stickers for his 24 classmates
Each classmate receives the same
number of stickers. Sergio gives the
leftover stickers to his younger brother.
How many stickers does Sergio give to
his younger brother?

Answers

Hence, Sergio give to his younger brother is [tex]58[/tex].

What is the division?

Division is the opposite of multiplication. If three groups of four make twelve in multiplication, twelve divided into [tex]13[/tex] equal groups give four in each group in division.

Here given that,

Sergio buys [tex]684[/tex] red stickers and [tex]729[/tex] blue stickers for his [tex]24[/tex] classmates.

Each classmate receives the same number of stickers.

Total number of stickers are

[tex]684+729=1413[/tex]

So, the Sergio give to his younger brother is

[tex]\frac{14131}{24}=58[/tex]

Hence, Sergio give to his younger brother is [tex]58[/tex].

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Consider the curve given by the equation y² - 6y - 9x² - 144x = 576. It can be shown that dy/dx=
9(x + 8)/ Y-3

Find the x-coordinate of the point where the line tangent to the curve is the x-axis.

Answers

The x-coordinate of the point where the line tangent to the curve is the x-axis is; x = -8

How to Interpret the tangent line to a curve?

To get he x-coordinate of the point that the line tangent to the curve is the x-axis, what we will do is to equate the numerator of the derivative to zero.

Now, we are given the equation of the curve as;

y² - 6y - 9x² - 144x = 576.

We are told that It can be shown that;

dy/dx = 9(x + 8)/(y - 3)

From our earlier definition, the x-coordinate will be at;

9(x + 8) = 0

divide both sides by 9 to get;

x + 8 = 0

x = -8

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Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas? Explain.

Answers

Answer:

how much oz does it take to make mac and cheese and pizza? will edit when get answer

Step-by-step explanation:

What does the slope tell you?
◄ 0.25 ounce of salad costs $1.
25 ounces of salad costs $1.
A salad costs $0.25 per ounce.
A salad costs $25 per ounce.

Answers

Answer: what is the answer?

Step-by-step explanation:

a salad costs $0.25 per ounce!:)

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown. • Studio Q charges a $30 registration fee plus $80 per month. . Studio R charges a $105 registration fee plus $65 per month. after how many months will the total cost of the dance lessons be equal at the two studios? What will the cost be?​

Answers

Answer:

5 months and the cost is $430

Step-by-step explanation:

Let's start by figuring out the equations for both dance studios.

Q : 30 registration fee plus 80 per month.

R : 105 registration fee plus 65 per month.

We can use the variable m for months.

Registration is a flat fee, so that will be it's own term. Plus the costs per month. We will multiply the costs per month times months, m.

Q :  30 + 80m

R : 105 + 65m

Now, if we want to find out how many lessons until the costs are equal, we need to make the two equations equal to each other.

80m + 30 = 65m + 105

Now, we work backwards to find out what m is.

Subtract 30 on both sides.

80m = 65m + 75

Subtract 65m on both sides

15m = 75

Divide by 15 on both sides to isolate m.

m = 5

After 5 months, the total cost of the dance lessons will be equal at the two studios. To find out the cost, we must multiply the months back in. We can substitute 5 in for any of the equations as they are equal. I will use 80m + 30.

80(5) + 30 = ?

400 + 30 = ?

430 = ?

The cost for both studios will be equal at 5 months, with a cost of $430.

Mike had 6 1/4 pounds of potatoes to share with his friends. He gave them 3 4/5 pounds. How many pounds of potatoes does Mike have left?

Answers

Answer: 2 9/20

Step-by-step explanation:

First, rewriting our equation with parts separated

=6+14−3−45

Solving the whole number parts

6−3=3

Solving the fraction parts

14−45=?

Find the LCD of 1/4 and 4/5 and rewrite to solve with the equivalent fractions.

LCD = 20

520−1620=−1120

Combining the whole and fraction parts

3−1120=2920

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

254−195

Applying the fractions formula for subtraction,

=(25×5)−(19×4)4×5

=125−7620

=4920

Simplifying 49/20, the answer is

=2 9/20

Please Help!! It's really simple and I've done half already but I REALLY need help on the other half!!!! My assignment is on the first page and the first half that I've done is on the second page.

Answers

The equation of asked line is y = x/3+3

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

The equation of a line passing through two points (x1, y1) and (x2, y2) is

y-y1 = (y2-y1)/(x2-x1)*(x-x1)

The two points are (6, 5) and (3, 1)

Equation =

y-5 = -4/-3*(x-6)

y-5 = 4/3*(x-6)

3y - 15 = x-6

3y = x+9

y = x/3+3

Hence, the required equation is y = x/3+3

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Kelly earns $96 in 12 hours. At this rate, how many dollars will she earn in 20
hours?
OA. $160
OB. $240
O C. $200
O D. $80

Answers

96/12 = x/20

Solve it and get the answer.

A. 160
Set up your ratios: $/hours=$/hours
Plug in your values: 96/12=x/20
Cross multiply: 12x=96•20
Multiply then divide: x=160

Please help with this question​



[tex]10 \sqrt{2} [/tex]

Answers

10 root to 2= 14.142

Answer:

The answer is approximately equal to 14.14214

Length (cm): Length (m)

100: 1

250: 2.5

78.2: .782

123.9: 1.239

y: ? I need to know what goes next to the y



Write an equation for the proportional relationship. Let x represent a length measured in meters and y represent the same length measured in centimeters. I don't know what would be the equation.

Answers

The equation for the proportional relationship is x=y×(1/100) where x represents length in meters and y represents same length in centimeters.

What is meant by proportionality?

The phrase proportionality refers to any relationship that always has the same ratio. The quantity of apples in a crop, for example, is proportionate to the number of trees in the orchard, with the ratio of proportionality being the average number of apples per tree.

In mathematics, two sequences of numbers, generally experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

Given,

Length(cm): Length(m)

    100         :   1

    250         :  2.5

     78.2        :   782

     123.9       :  1.239

The value that goes next to y is,

y: y×(1/100)

Therefore, x=y×(1/100)

The equation for the proportional relationship is  x=y×(1/100)

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What is the midpoint of AB?

Answers

Answer:h

Step-by-step explanation:

8+-6=2

If a person weighs 290 lbs, how much of a dosage should they get every 4 hours if they need to be
administered 11.9 mg/kg? Round to 1 decimal.

Answers

290 lbs is the same as 131.542 kg.

So, they should be administeted (131.542)(11.9) mg, which is about 15.65 mg.

The U.S. Postal Service delivers about 212 billion pieces of mail each year. Of this mail, 4/5 is sent by big commercial users. About how many pieces of mail are sent by big commercial users each year? Hint: billion is part of the label “billion pieces of mail”.

Answers

The mail that are sent by big commercial users is 169.60 billion.

How many mails are sent by big commercials users?

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 4/5.

In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.

The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion

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0 Assignment is past due
5.PS-20
Question Help
Doug dives from a platform that is 7.5 meters above water. His dive takes him 1.5 meters below the surface of the water. How
far does Doug's dive take him?
Doug's dive takes him meters.

Answers

Answer:

9 meters

Step-by-step explanation:

|7.5|+|-1.5|=9

(the || on either side of each number shows that it's representing how far the number is from 0, so it's essentially 7.5+1.5)

Will mark brainliest :)

Answers

Answer:

hope it helps!

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

8y ≤ 10x  Divide both sides by 8

y ≤ 5/4x  Simplified

See the attached picture.  This is crossing the y axis at 0.  If you start at (0,0) and go up 5 and to the right 4.  You will see the second point graphed.  This demonstrates the slope of the line.  ≤ tells us that we are including everything below the line.

You should check out Desmos.  It is a free graphing program.  It is cool.

Solve the system of equations using any method
y = x^2 + 4
y = 2x + 4

Answers

The solution of the system of equation is as follows;

x = 2y = 8

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method as follows:

y = x² + 4

y = 2x + 4

Therefore,

2x + 4 = x² + 4

x² - 2x   = 0

x² = 2x

x = 2

Let's find y

y = 2x + 4

y = 2(2) + 4

y = 4 + 4

y = 8

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An elevator travels310ft in 10 seconds. How far will it travel in 12 seconds

Answers

Answer: 372ft

Step-by-step explanation:

310 divided by 10 equals 31.

31 times 12 = 372

And so it is 372 ft

HELP ME OUT THANSKSSSSS SO MUCH

Answers

Answer:

10.59

Step-by-step explanation:

SOLVE FOR FF
10f+10=9f
F=

Answers

The F= -1 because you probably forgot the negative sign but F is -1

Answer:

-10

Step-by-step explanation:

I would explain it but my keyboard won't let me type certain things.

Please give brainlist T-T

Graph the linear equation y = –2x + 6 on the coordinate plane.

Answers

The graph of the function y = - 2x + 6 is plotted and attached.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation of line -

y = - 2x + 6

Given is the following equation of line as -

y = - 2x + 6

The slope of the line would be [- 2] and the [y] intercept would be [6].

Refer to the graph attached.

Therefore, the graph of the function y = - 2x + 6 is plotted and attached.

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If 9 cows can fit in a field, how many fields are necessary to make sure 65 cows are all in a field?

Answers

Answer:

7.2 field or 7 field

Step-by-step explanation:

9 cows=1 field

65 cows=x field

cross multiply

9x=65×1

x=65÷9

x=7.2/7 field

Three verticies of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. (please helpp!!)

Answers

Answer:

AE=19

EAD=34

Step-by-step explanation:

Look at the image for step by step help.

-Hope this helped

I need help with this please help me

Answers

Answer: A

Step-by-step explanation:

The three angles in a triangle add to [tex]180^{\circ}[/tex]. Therefore, each angle measures [tex]\frac{180^{\circ}}{3}=60^{\circ}[/tex].

Chindi puts 2 3/5 kg of bird seed in his large feede. This is 1 3/10 times as much bird seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

The total amount in the smaller feeder is 2 kg.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Chindi puts 2(3/5) kg of bird seed in his large feed.

This is 1(3/10) times as much bird seed as he puts in his smaller feeder.

The total amount is represented by 1.

Now,

1(3/10) = 2(3/5) kg

13/10 = 13/5 kg

Multiply both sides by 10/13

1 = 10/13 x 13/5 kg

1 = 2 kg

This means the total amount of seeds in the smaller feeder is 2 kg.

Thus,

The total amount in the smaller feeder is 2 kg.

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The dinner bill comes to $30, and you want to leave a 20% tip. What is the total cost of the bill?

Answers

The total of cost of the bill will be $36

Answer:

$36

Step-by-step explanation:

First, let us make an expression to solve this using the given information.

For that let the total cost be x.

Amount of the bill                     tip                     total cost

          100                 ⇒               20          ⇒           120

           30                  ⇒               20          ⇒            x

Accordingly,

100 ⇒ 120

30   ⇒  x

Use cross multiplication and solve for x.

100x = 120 × 30

100x = 3600

Divide both sides by 100.

x = $ 36

SOLVE FOR N

3/2 -1/2n= 2n+3
N =

Answers

Answer: n= -3/5 OR n= -0.6

Step-by-step explanation:

exact form and decimal form

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