2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the Box Plot

2. Consider The Following Dot Plot And Answer The Following Questions : A. Find The Measures Of Central

Answers

Answer 1

The measures of central tendency for this data set are as follows:

Mean = 3.55.Median = 3.5.Mode = 3.

How to calculate measures of central tendency?

In Mathematics, there are three (3) main measures of central tendency and these include the following:

MeanMedianMode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

How to calculate the mode?

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: https://brainly.com/question/9550536

#SPJ1

2. Consider The Following Dot Plot And Answer The Following Questions : A. Find The Measures Of Central

Related Questions

what is the mean of 12342634

Answers

Answer:

Mean = 3.125 ≈ 3.13

Step-by-step explanation:

Mean = Sum of numbers =  1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13

           Amount of number                     8                             8

4.
Solve the system of inequalities graphically. Label the solution set with an S.
Help asap

Answers

Answer:

Solution = (2,1)

Step-by-step explanation:

Make them equal each other and solve for x.

2x - 3 = 1

2x = 4

x = 2

2 * 2 - 3 = 1

Solution = (2,1)

The sales tax for an item was $15 and it cost $500 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

The answer is 3 percent because 500divided by 15 is 0.03 or 3 percent

A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sample of 500 resistors and will reject the entire shipment if 10 or more of the resistors are defective. Suppose that 4% of the resistors in the whole shipment are defective. What is the probability the engineer accepts the shipment? Do you believe the acceptance policy of the engineer is sound?

Answers

Step-by-step explanation:

remember, the number of possible combinations to pick m out of n elements is C(n, m) = n!/(m! × (n-m)!)

50,000 transistors.

4% are defective, that means 4/100 = 1/25 of the whole.

so, the probability for one picked transistor to be defective is 1/25.

and the probability for it to work properly is then 1-1/25 = 24/25.

now, 500 picks are done.

to accept the shipment, 9 or less of these 500 picks must be defective.

the probability is then the sum of the probabilities to get

0 defective = (24/25)⁵⁰⁰

1 defective = (24/25)⁴⁹⁹×1/25 × C(500, 1)

= 24⁴⁹⁹/25⁵⁰⁰ × 500

2 defective = (24/25)⁴⁹⁸×1/25² × C(500, 2)

= 24⁴⁹⁸/25⁵⁰⁰ × 250×499

3 defective = 24⁴⁹⁷/25⁵⁰⁰ × C(500, 3) =

= 24⁴⁹⁷/25⁵⁰⁰ × 250×499×166

...

9 defective = 24⁴⁹¹/25⁵⁰⁰ × C(500, 9) =

= 24⁴⁹¹/25⁵⁰⁰ × 500×499×498×497×496×495×494×493×492×491 /

9×8×7×6×5×4×3×2 =

= 24⁴⁹¹/25⁵⁰⁰ × 50×499×166×71×31×55×494×493×41×491

best to use Excel or another form of spreadsheet to calculate all this and add it all up :

the probability that the engineer will accept the shipment is

0.004376634...

which makes sense, when you think about it, because 10 defect units in the 500 is only 2%. and since the whole shipment contains 4% defect units, it is highly unlikely that the random sample of 500 will pick so overwhelmingly the good pieces.

is the acceptance policy good ?

that completely depends on the circumstances.

what was the requirement about max. faulty rate in the first place ? if it was 2%, then the engineer's approach is basically sound.

it then further depends what are the costs resulting from a faulty unit ? that depends again on when the defect is usually found (still in manufacturing, or already out there at the customer site, or somewhere in between) and how critical the product containing such transistors is. e.g. recalls for products are extremely costly, while simply sorting the bad transistors out during the manufacturing process can be rather cheap. if there is a reliable and quick process to do so.

so, depending on repair, outage and even penalty costs it might be even advisable to have a harder limit during the sample test.

in other words - it depends on experience and the found distribution/probability curve, standard deviation, costs involved and other factors to define the best criteria for the sample test.

what are the solution of the quadratic equation (x-8)3-13x(x-8)+3=0? use u substitution to solve.

Answers

[tex]3(x - 8) - 13x(x - 8) + 3 = 0 \\ 3x - 24 - 13 {x}^{2} + 104x + 3 = 0 \\ - 13 {x}^{2} + 107x - 21 = 0 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a } \\ a = - 13 \\ b = 107 \\ c = - 21 \\ x = \frac{ - 107 + - \sqrt{ {107}^{2} - 4(13)( - 21)} }{2( - 13)} \\ x1 = \frac{107 - \sqrt{10357} }{26} \\ x2 = \frac{107 + \sqrt{10357} }{26} [/tex]

Hope it helps

Please give brainliest

A train leaves Little Rock, Arkansas, and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 85 kilometers per hour.
How long will it take before they are 680 kilometers apart?

Answers

Answer:

4hours

Step-by-step explanation:

1hour =85+85

=170km/h

time= distance÷

speed=170km/h

680÷170=time

=4h

he graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Answers

The domain of the function is all real numbers, the range of a function is y ≤ 4

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say:

The domain of the function is all real numbers.The range of a function is y ≤ 4The x-axis intercept will be at (-6, 0) and (-2, 0).

Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

In isosceles triangle ABC, AC=BC=20, the measure of angle A=68, and CD is the altitude to side AB. What is CD to the nearest 10th

Answers

Answer:

Step-by-step explanation:

Comment

The way the diagram looks when it is drawn is that you are going to need the sine function to solve for the side opposite which is CD.

Formula

Sin(A) = Sin(68 = opposite / hypotenuse     Substitute values.

Solution

sin(68) = altitude (side opposite) / 20       multiply both sides by 20

20*sin(68) = 20* altitude / 20                     substitute for sin(68)

20* 0.9272 = altitude

altitude = 18.5

Answer: 18.5 to the nearest tenth

Index Number:
b) A trader bought ar bags of rice at a cost, c= 24x+103 and sold them at a price.
x = 33x-x^2/20

(1)
Find the expression for the profit.
(i) If 20 bags of rice were sold, calculate the percentage profit.

Answers

The expression for the profit is -x^2/30 + 9x - 103 and the percentage profit on 20 bags of rice is 11.1%

How to determine the profit expression?

The cost and the selling price are given as:

C(x) = 24x + 103

S(x) = 33x - x^2/30

The profit is calculated using:

P(x) = S(x) - C(x)

This gives

P(x) = 33x - x^2/30 - 24x - 103

Evaluate the like terms

P(x) = -x^2/30 + 9x - 103

Hence, the expression for the profit is -x^2/30 + 9x - 103

The percentage profit

When x = 20, we have:

Cost: C(20) = 24 * 20 + 103 = 583

Profit: P(20) = -(20)^2/30 + 9(20) - 103 = 64.67

The percentage profit is then calculated as:

Percentage = P(x)/C(x) * 100%

This gives

Percentage = 64.67/583 * 100%

Evaluate

Percentage = 11.1%

Hence, the percentage profit on 20 bags of rice is 11.1%

Read more about profit and cost at:

https://brainly.com/question/19104371

#SPJ1

Help please and thanks! I'll award brainliest if you show your work as well :)

Answers

Answer:

6 inches

Step-by-step explanation:

Formula for surface area of a cylinder:

[tex]SA=2\pi r^{2} +2\pi rh[/tex]

Plug in values and solve for the radius:

[tex]180\pi =2\pi r^{2} +2\pi r(9)\\[/tex]

Divide both sides by [tex]2\pi[/tex]

[tex]90=r^{2} +r(9)[/tex]

Subtract 90 from both sides

[tex]0=r^{2} +9r-90[/tex]

Use the quadratic equation to find the roots

[tex]x=(-b[/tex]±[tex]\sqrt{b^2-4ac})*\frac{1}{2a}[/tex] (sorry for formatting, Brainly doesn't

                                           allow equations with ± in them)

[tex]x=\frac{-9+\sqrt{9^2-4*1*90} }{2(1)}[/tex]        and          [tex]x=\frac{-9-\sqrt{9^2-4*1*90} }{2(1)}[/tex]

[tex]x=\frac{(-9+\sqrt{81+360})}{2}[/tex]          and          [tex]x=\frac{(-9-\sqrt{81+360})}{2}[/tex]

[tex]x=\frac{(-9+\sqrt{441})}{2}[/tex]               and          [tex]x=\frac{(-9-\sqrt{441})}{2}[/tex]

[tex]x=\frac{(-9+21)}{2}[/tex]                   and          [tex]x=\frac{(-9-21)}{2}[/tex]

[tex]x=\frac{12}{2}[/tex]                           and          [tex]x=\frac{-30}{2}[/tex]

[tex]x=6[/tex]                             and          [tex]x=-15[/tex]  

We can't have a negative radius, so that leaves us with r=6 in.

2. The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
70
-8
1.75
1/6

Answers

Answer:

62.

Step-by-step explanation:

because I subtract 70 to 8 equal to 62

Answer:

I think

Step-by-step explanation:

I think 62 hope you have a good day

Chris and Hillary are remodeling their family room. They are deciding on the flooring, sofa and TV. How many possible combinations are shown in the tree diagram?
A. 10
B. 11
C. 12
D. 13

Answers

C. Is the correct answer

Answer:

its C ^^ makes more sense :D

Step-by-step explanation:

hope this helps

Calculate the discriminant to determine the number of real roots of the equation.

y = x2 + 3x + 9

one real root
no real roots
three real roots
two real roots

Answers

find D which is the discriminant and with D < 0.

therefore the equation has an imaginary root and not a real root.

please help i will give brainliest

Answers

The picture is very blurry

D. -1 7. A weaver bought a bundle of grass for $50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit. 10 %​

Answers

Profit percentage for weaver after selling mat is equals to 140%.

What is percentage ?

" Percentage is defined as the hundredth part of the whole given quantity. It is represented by symbol %."

Formula used

Profit% = [tex](\frac{Profit }{cost price} )[/tex]×   100

According to the question,

Given,

Cost price of bundle of grass = $50.00

Number of mats made = 8

Selling price of each mat = $15.00

Therefore,

Selling price of 8 mats = 15 × 8

                                     = $120

Selling price > Cost price

Therefore,

Profit = Selling price - Cost price

         = 120 - 50

         = $70

Substitute the value in the formula to get profit percentage we get,

Profit% = [tex]\frac{70}{50}[/tex] ×100

            = 140%

Hence, profit percentage for weaver after selling mat is equals to 140%.

Learn more about percentage here

https://brainly.com/question/14979505

#SPJ2

which table represents an exponential function of the form y=bx when 0

Answers

The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.

What is an exponential function?

A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.

What is the solution?

Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:

y(x) = (1/3)ˣ

substituting the values of x into the equation, we have:

y(-3) = (1/3) ⁻³ = 27

x = -2; thus

y(-2) =  (1/3) ⁻³ = 9

x = -1; thus

y(-1) =  (1/3) ⁻³ = 3

x = 0; thus

y(0) =  (1/3) ⁻⁰ = 1

x = 1; thus

y(1) =  (1/3) ¹ = 1/3

x = 2; thus

y(2) =  (1/3) ⁻² = 1/9

x = 3; thus

y(3) =  (1/3) ⁻³ = 1/27

Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y  = bˣ is table 2.

learn more bout exponential functions at:
https://brainly.com/question/2456547

#SPJ1

Use prime factorizations to find the GCF of 18 and 33.
Prime factorization of 18: 2 × 3 × 3
Prime factorization of 33: 3 x 11
The GCF of 18 and 33 is

Answers

Answer:

Use prime factorizations to find the GCF of 18 and 33.

Prime factorization of 18: 2 × 3 × 3

Prime factorization of 33: 3 x 11

The GCF of 18 and 33 is

Step-by-step explanation:

Use prime factorizations to find the GCF of 18 and 33.

Prime factorization of 18: 2 × 3 × 3

Prime factorization of 33: 3 x 11

The GCF of 18 and 33 is

Answer:

3 XD

Step-by-step explanation:

Use the following math quiz scores to answer the questions. 85%, 65%, 87%, 68%, 90%, 73%, 65%, 85%, 95%, 85% 17) What is the mean of these scores? 18) What is the median score? The point on the scale that divides the distribution of scores in half 19) What is the mode of these scores? The value that occurs most frequently in a set. 20) What is the range of these scores? The difference between the lowest and highest values​

Answers

Answer:

79.8

Step-by-step explanation:


Given the function f(x) = ³x – 1, evaluate f(-12).

Answers

Evaluation:

The answe for the function is -1.

I need the answer please help!

Answers

Option C is the correct answer as SAS stands for Side, Angle, Side. You would need one side, one angle and another side to be the same for the conditions for congruency to be met.

You need to make party favors for a friend's birthday. 48 people were invited, but you'll only have to make favors for those who say they will attend. Some of the favors will be yellow and the rest will be xanadu. Make a graph using paper or technology that shows all of the possible combinations of yellow or xanadu party favors you might choose to make. Let a represent the xanadu favors and y represent the yellow favors. Your graph should be labeled with x-intercept, y-intercept, shaded region, linear boundary (solid or dashed). Also include an additional point with coordinates clearly labeled in the solution region that shows me how many of each favor you choose to make after all RSVP's are received

Answers

The update of the completed graph is given in the image attached as it shows the possible combinations of Yellow or Xanadu party favors that might choose will be ( 48, 0).

What is the graph about?

For this graph, we shall make Xanadu party favors  as X

and yellow favors  as  Y

Therefore note that: X + Y = 48

In the graph of X - Intercept

Y = 0, X = 48

In the graph of Y- intercept,

Y = 48 , X = 0

Therefore, the graphical representation of the combinations is given in the image attached.

Learn more about combinations from

https://brainly.com/question/11732255

#SPJ1

Find the APR, rounded to the nearest tenth of a percent (one decimal place) for the loan. Purchase a living room set for $4,900 at 8% add-on interest for 4 years. Enter only the number without % sign.

Answers

The annual percent rate(APR) to purchase a living room set for $4,900 at 8% add-on interest for 4 years is 8. 6

How to calculate the annual interest rate

Using the formula

APR = ((Interest + Fees / Loan amount) / Number of days in loan term)) x 365 x 100

Note that Interest expense = Original amount / interest rate

Interest amount = $4, 900

Rate = 8% = 0. 08

Interest expense = $4, 900× 0. 08 = $392

Loan amount is also the principal amount ,  P = I / (RT)

where I is Interest Amount, R is Rate of Interest and T is Time Period.

Principal amount = $4, 900 ÷ 0. 08 × 4 = $4, 900 ÷ 0.32 = $ 15,313. 5

Substitute the values into the formula for APR

APR = [tex]\frac{392+ 4900}{15312.5} / 1460 * 365* 100[/tex]

APR = [tex]0.345 / 1460 *365*100[/tex]

APR = [tex]2. 36* 10^-4 *365* 100[/tex]

APR = [tex]8. 625[/tex]

To the nearest tenth is, 8. 6

Therefore, the annual percent rate(APR) is 8. 6

Learn more about Annual percent rate here:

https://brainly.com/question/25545513

#SPJ1

If 2,6 kg of potatoes cost R13,20, what will the cost of 3,3 kg be?​

Answers

Answer:

[tex]\huge\boxed{\sf R. 16.75}[/tex]

Step-by-step explanation:

*Assuming commas are used for decimals.

Given that:

2.6 kg potatoes = R 13.20

Using unitary method

Divide 2.6 to both sides

1 kg potatoes = R 13.20/2.6

1 kg potatoes = R 5.1

Multiply 3.3 to both sides

3.3 kg potatoes = R 5.1 × 3.3

3.3 kg potatoes = R 16.75

[tex]\rule[225]{225}{2}[/tex]

I just need help with question one, but if you want to you can answer question 2 as well. I’ll give 100 points!

Answers

Explanation:

Given f(x) : (2, -3)

Translation's:

f(x) + 2 then graph translates up by 2 units up =  [tex]\boxed{\sf (2, -1)}[/tex]

f(x) - 3 then graph translates down 3 units down = [tex]\boxed{\sf (2, -6)}[/tex]

f(x + 5) then graph translates left 5 units = [tex]\boxed{\sf (-3, -3)}[/tex]

-f(x) then graph reflects over x axis = [tex]\sf \boxed{\sf (2, 3)}[/tex]

f(-x)  then graph reflects over y axis = [tex]\sf \boxed{\sf (-2,-3)}[/tex]

f(2x) then graph has horizontal compression = (2/2, -3) = [tex]\boxed{\sf (1, -3)}[/tex]

2f(x) then graph has vertical compression = (2, (-3)2) = [tex]\boxed{\sf (2, -6)}[/tex]

-f(x - 4) then graph reflects over x axis, moves 4 units to right = [tex]\sf \boxed{\sf (6, 3)}[/tex]

Solution 2

Parent function: y = x²

Graph function: f(x) = (x + 8)² - 4

After Identification:

D. The graph has a translation of 8 units left and 4 units down.

Answer:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Question 1

Given:  [tex]f(x)=(2,-3)[/tex]

[tex]f(x)+2 \implies (x, y+2)= (2,-3+2)=(2,-1)[/tex]

[tex]f(x)-3 \implies (x,y-3)=(2,-3-3)=(2,-6)[/tex]

[tex]f(x+5)\implies (x-5,y)=(2-5,-3)=(-3,-3)[/tex]

[tex]-f(x) \implies (x,-y)=(2,-(-3))=(2,3)[/tex]

[tex]f(-x) \implies (-x,y)=(-(2),-3)=(-2,-3)[/tex]

[tex]f(2x) \implies \left(\dfrac{x}{2},y\right)=\left(\dfrac{2}{2},-3\right)=(1,-3)[/tex]

[tex]2f(x) \implies (x,2y)=(2,2 \cdot -3)=(2,-6)[/tex]

[tex]-f(x-4) \implies (x+4,-y)=(2+4,-(-3))=(6,3)[/tex]

[tex]\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & &\\f(x)+2 & f(x)-3 & f(x+5) & -f(x) & f(-x) & f(2x) & 2f(x) & -f(x-4)\\& & & & & & &\\\cline{1-8} & & & & & & &\\(2,-1) & (2,-6) & (-3,-3) & (2,3) & (-2,-3) & (1,-3) & (2,-6) & (6,3)\\& & & & & & &\\\cline{1-8} \end{array}[/tex]

Question 2

Parent function:  [tex]y=x^2[/tex]

Given function:  [tex]f(x)=(x+8)^2-4[/tex]

[tex]f(x+8) \implies f(x) \: \textsf{translated}\:8\:\textsf{units left}[/tex]

[tex]f(x)-4 \implies f(x) \: \textsf{translated}\:4\:\textsf{units down}[/tex]

Therefore, a translation 8 units to the left and 4 units down.

Solve the equation sin 79.5° = cos 2x

Answers

Answer:

x=5.24-9+180n,174.75+180n

Step-by-step explanation:

Consider two spinners I have the colors gray orange blue and yellow to make an area model what letter combination will go in the box highlighted in yellow below GB BB BG OY

Answers

Answer:

BB

Hope that helps!

What is the answer?
I want the explanation step by step
Help me

Answers

Did you try to solve it? I’m not sure about that picture the picture seems quite confusing.

Finding the slope from points

Answers

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = [tex]\frac{y_1 - y_2}{x_1-x_2}[/tex]

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 )  ⇒ ( x₂ , y₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

m = -3

Answer:

m = -3

Step-by-step explanation:

Given two points:

(-1,-7) & (1,-13)

To Find:

The slope

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question, on the formula:

(y_2,y_1) = (-13,-7)(x_2,x_1) = (1,-1)

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{ - 13 - ( - 7)}{1 - ( - 1)} [/tex]

Simplify using PEMDAS:

P = ParenthesesE = exponentsM = MultiplicationD = DivisionA = additionS = subtraction

[tex] \rm \: m = \cfrac{ - 13 + 7}{1 \ + 1} [/tex]

[tex] \rm \: m = \cfrac{ - \cancel6}{ \cancel2} = \boxed{ - 3}[/tex]

Hence, the slope of the line that passes through the given points in it's simplest form is -3.

The estimated distribution (in millions) of the population by age in a certain country for the year 2015 is shown in the
pie chart. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the
sample standard deviation of the data set. Use 70 as the midpoint for "65 years and over."
The sample mean is x- (Round to two decimal places as needed.)
Under 4 years: 24.8
15-14 years: 422
15-19 years 194
20-24 years: 256
25-34 years 50.7
35-44 years: 35.7
45-64 years 75.2
65 years and over 54.3

Answers

The sample mean for the data is 21.38 and the sample standard deviation for the data is 56.19

The frequency distribution for the data

To do this, we start by calculating the midpoint of each class using:

Midpoint= (Lower + Upper)/2

Using the above formula, we have:

Age (x)        Frequency (f)

2                   24.8

9.5               422

17                  194

22                 256

29.5             50.7

39.5              35.7

54.5             75.2

70                 54.3

The sample mean for the data

This is calculated using:

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

So, we have:

[tex]\bar x = \frac{2*24.8 + 9.5*422 + 17*194 + 22*256 + 29.5*50.7 + 39.5*35.7 + 54.5*75.2+70*54.3}{24.8 + 422 + 194 + 256 + 50.7 + 35.7 + 75.2 + 54.3}[/tex]

Evaluate

[tex]\bar x = \frac{23793.8}{1112.7}[/tex]

[tex]\bar x = 21.38[/tex]

Hence, the sample mean for the data is 21.38

The sample standard deviation for the data

This is calculated using:

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

So, we have:

[tex]\sigma_x = \sqrt{\frac{2*(24.8-21.38)^2 + .............+70*(54.3-21.38)^2}{24.8 + 422 + 194 + 256 + 50.7 + 35.7 + 75.2 + 54.3 - 1}}[/tex]

Evaluate

[tex]\sigma_x = \sqrt{\frac{3509508.4556}{1111.7}}[/tex]

[tex]\sigma_x = \sqrt{3156.88446128}[/tex]

[tex]\sigma_x = 56.19[/tex]

Hence, the sample standard deviation for the data is 56.19

Read more about mean and standard deviation at:

https://brainly.com/question/15858152

#SPJ1

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D is the answer hope

Step-by-step explanation:

hope this helped

Other Questions
The american heart association recommends strength training how many days per week for healthy adults and many low-risk cardiac patients?. Ventricular fibrillation is identified in a 50-year-old unresponsive client that just arrived in the ED via EMS. Which action do you take first Aside from those examples given in the lesson, think of two words that carry extra connotative meanings. List those words, and then provide both the connotative and denotative meanings. The diagram shows two sets of vectors that result in asingle vector.50 m200 m100 mR250 mWhat are the first two steps for finding the magnitudeof the resultant vector?find the square of the first horizontal vector and thesquare root of the first vertical vectorfind the square root of the first horizontal vector andthe square root of the second horizontal vectorfind the sum of the two horizontal vectors and thesum of the two vertical vectorsfind the difference between the two horizontalvectors and the difference between the two verticalvectors Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars. Which table of values matches this equation? Write the slope-intercept form of the equation for the line.y = -10/3x + 1/2y = -3/10x + 1/2y = 1/2x +3/10y = 3/10x +1/2 a triangle has sides lenghts of 6.8cm, 28.5cm and 29.3cm. is this a right angled triangle Consecrate means to make or declare sacred.Hallow means to make or declare holy.What does Lincoln conclude about the assembledcrowd's purpose of dedicating the cemetery? Solve for x to the nearest tenth of centimetre John donn's poetry is charged with remarkable passionate intensity. Is this a strong topic sentence for supporting paragraph of an interpretive essay on Donne's The Flea as a love poem Find the area of each triangle. In The House on Mango Street, many of the women in Esperanza's neighborhood rely on men to improve their lives, but in the process, give up their freedom to these men. Which details support this conclusion Read the sentence from the passage.So, first of all, let me assert my firm belief that the only thing we have to fear is fear itselfnameless, unreasoning, unjustified terror which paralyzes needed efforts to convert retreat into advance. How does the sentence add to the development of the text? PLEASE HELP! i need done ASAP. It is easier to determine the electron configurations for the p-block elements in periods 1, 2, and 3 than to determine the electron configurations for the rest of the p-block elements in the periodic table because. 5 oranges are shared equally by 2 people.About how many oranges does each person get 5. you work at a t-shirt printing business. 175 of 3,500 t-shirts shipped are printed improperly. what is the experimental probability that a t-shirt is printed improperly? a: 6% b: 1.75% c: 5% d: 35% A human baby is born with one X chromosome and one Y chromosome.what must be true about this baby Dylan bought seven candy bars for $10.50. How much did he pay for each candy bar? i hs no life hahahaha