Answer:
Step-by-step explanation:
We would determine the mean an standard deviation first
Mean = (107 + 92 + 97 + 95 + 105 + 101 + 91 + 99 + 95 + 104)/10 = 98.6
Standard deviation = √(summation(x - mean)/n
n = 10
Summation(x - mean) = (107 - 98.6)^2 + (92 - 98.6)^2 + (97 - 96.6)^2 + (95 - 98.6)^2 + (105 - 98.6)^2 + (101 - 98.6)^2 + (91 - 98.6)^2 + (99 - 98.6)^2 + (95 - 98.6)^2 + (104 - 98.6)^2 = 274
Standard deviation = √(274/10) = 5.23
The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean.
We will use the t distribution because the sample size is small and the population standard deviation is not given.
Degree of freedom, df = 10 - 1 = 9
α = 1 - 0.99 = 0.01
z α/2 = 0.01/2 = 0.005
The area to the right of z 0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995. Using the t distribution table,
z = 3.25
Margin of error = z × s/√n
Where
s = sample standard Deviation = 5.23
Margin of error = 3.25 × 5.23/√10 = 5.38
Confidence interval = sample mean(point estimate) ± z × σ/√n
The lower boundary of the confidence interval is
98.6 - 5.38 = 93.22
The upper boundary of the confidence interval is
98.6 + 5.38 = 103.98
We estimate with 99% confidence that the mean weekly child care cost of their employees is between $93.22 and $103.98
Also,
99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.
The 99% confidence interval for the average weekly childcare cost based on this sample data is [$94.6, $102.6], which means we're 99% certain the true average cost falls within this range.
Explanation:When we are talking about a confidence interval for the population mean, we're trying to determine a range within which we're confident the true average child care cost falls, given the data we have from a sample of employees. To do this, we first have to calculate the mean (or average) child care cost and the standard deviation of our sample.
The mean weekly child care cost would be ($107 + $92 + $97 + $95 + $105 + $101 + $91 + $99 + $95 + $104) / 10 = $98.6. To calculate the standard deviation, you would subtract each data point from the mean, square the results, find the average of these squared differences, and finally take the square root. In this case, the standard deviation equates to ~5.27. Now we can use these values to calculate the confidence interval. For a 99% confidence interval with a sample size of 10, the appropriate t-value from the t-distribution table is 3.25. The confidence interval would therefore be Mean +/- t-value*(standard deviation/sqrt(n)). So the interval would be 98.6 +/- 3.25*(5.27/sqrt(10)). This calculates to an interval of [94.6, 102.6]. That means we're 99% confident the true average weekly child care cost falls between $94.6 and $102.6.
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i need help with rhombus,rectangles and squares
Answer:
a= 11, b= 12
Opposite angles of parallelogram are equal.
m<D = m<B
9b-2=106°
9b= 108°
b= 12°
Sum of the adjacent angles of a parallelogram = 180°
m<B+m<C = 180°
106°+7a-3=180°
7a = 180°-106°+3
7a=77°
a= 11°
what is 4+5????????????????
Answer:
9
Step-by-step explanation:
4+5=9
Answer:
9
Step-by-step explanation:
4 then add 5 lol
Tyler completely filled the Box shown below with unit cubes with no gaps or overlaps even counted the number of Cubes that he used to fill the Box what type of measurement is represented by the number of Cubes Tyler counted
Question:
The options are
A. area
B. height
C. volume
D. perimeter
Answer:
The correct option is;
C. volume
Step-by-step explanation:
Here we note that the size of the unit cube is 1 cubic unit
When the box is filled with the unit cubes the total number of unit cubes represent the volume capacity of the box into which the number of nit cubes are placed.
The volume is a quantity that is also represented by the product of the length, width and height dimensions of the cube.
What are 3 equivalent ratios to 2/5
Answer:
10/25, 4/10, 20/50
Step-by-step explanation:
They all simplify to be 2/5.
SAT Scores 1510 1480 2100 1800 1300 1250 1400 1430 1390 1520 The SAT scores for a group of 10 students are shown. What is the mean absolute deviation of the group (round to the nearest tenth)
The mean absolute deviation of the group of SAT scores is approximately 169.8.
To find the mean absolute deviation (MAD) of the group of SAT scores, we follow these steps:
1. Calculate the mean (average) of the scores.
2. Find the absolute deviation of each score from the mean.
3. Calculate the mean of these absolute deviations.
Let's proceed with the calculations:
1. Calculate the mean:
[tex]\[ \text{Mean} = \frac{1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520}{10} \][/tex]
[tex]\[ \text{Mean} = \frac{14,580}{10} \][/tex]
[tex]\[ \text{Mean} = 1458 \][/tex]
2. Find the absolute deviation of each score from the mean:
[tex]\[ \text{Absolute deviations: } |1510 - 1458| = 52, |1480 - 1458| = 22, |2100 - 1458| = 642, |1800 - 1458| = 342, \][/tex]
[tex]\[ |1300 - 1458| = 158, |1250 - 1458| = 208, |1400 - 1458| = 58, |1430 - 1458| = 28, |1390 - 1458| = 68, |1520 - 1458| = 62 \][/tex]
3. Calculate the mean of these absolute deviations:
[tex]\[ \text{MAD} = \frac{52 + 22 + 642 + 342 + 158 + 208 + 58 + 28 + 68 + 62}{10} \][/tex]
[tex]\[ \text{MAD} = \frac{1698}{10} \][/tex]
[tex]\[ \text{MAD} = 169.8 \][/tex]
Therefore, the mean absolute deviation of the group of SAT scores is 169.8 (rounded to the nearest tenth).
The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).
To find the mean absolute deviation (MAD) of a set of data, you first need to calculate the mean (average) of the data, then find the absolute difference between each data point and the mean, and finally, calculate the average of these absolute differences.
Calculate the mean of the given SAT scores: (1510 + 1480 + 2100 + 1800 + 1300 + 1250 + 1400 + 1430 + 1390 + 1520) / 10 = 14660/10
= 1466
Calculate the absolute deviation of each score from the mean: |1510 - 1466|, |1480 - 1466|, and so on.
This gives - 44+14+634+334+166+216+66+36+76+54
= 1620
Calculating MAD -
= 1620/10
= 162
The mean absolute deviation of the group of SAT scores is 162 (rounded to the nearest tenth).
i have to find the answer if 33% of 21
Answer:
6.93 is you're answer.
Step-by-step explanation:
6.93/21 = 33%
Please help me idk this
Answer:
pi times d
Step-by-step explanation:the actuall formula is 2 pi r but since the radius times 2 is the diameer its pi times d hope this helps god bless
Answer:
c
Step-by-step explanation:
the circumference formula
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary. twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE
Answer:
one half the measure of their intercepted arcs.
m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
Step-by-step explanation:
Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are 1/2 the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2. m∠CDE.
We can see the pic shown in order to understand the question.
During the first 15 weeks of the 2016 season of a certain professional football league, the home team won 141 of the 241 regular-season games. Is there strong evidence of a home field advantage in this league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test.
Answer:
The answer is 2.0190
Step-by-step explanation:
From the given question,
We recall that,
p = 141/241 = 0.5850
so, p = 0.5
The Hypothesis is:
H₀ : P = 0.5, this means that H0:50% of the games played will be won
vs
H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.
n=241,x=141
Then,
SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421
z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190
therefore, there is strong evidence that there is home field advantages in professional football.
Following are the calculation to the hypothesis test:
[tex]\to \hat{p}= \frac{141}{241}=0.5850 \\\\\to p=0.5[/tex]
Hypothesis:
[tex]H_{0}:P=0.5[/tex] implies [tex]H_0:50\%[/tex] of a games would be won.
vs
[tex]H_{1}:P>0.5[/tex] because of home-field advantages, the victory exceeds [tex]0.5[/tex] . [tex]\to n=241 \\\\\to x=141\\\\\to SD(p)=\sqrt{(\frac{p\times q}{n})}=\sqrt{(\frac{0.5\times 0.5}{241})}=\sqrt{(\frac{0.25}{241})}= \sqrt{0.001}=0.0322 \\\\\to z=\frac{\hat{p}-p}{SD(p))}=\frac{0.5850-0.5}{0.0322}=\frac{0.085}{0.0322}=1.624\\\\ \to P(Z>1.624)=0.0521879[/tex]
conclusion [tex]P-value =0.0521879<0.05[/tex], As a result, we reject the null hypothesis, i.e. there's really significant evidence that home-field advantage exists in pro football.
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A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?
Answer:
0.083333333333 or 8.3%
Step-by-step explanation:
3/9x2/8
The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it
Answer:
1/12.
Step-by-step explanation:
There are a total of 9 marbles so
Prob(drawing first a green) = 3/9.
After drawing the green there are 8 marbles left in the bag, so:
Prob(drawing a red) = 2/8.
The required probability = 3/9 * 2/8
= 1/3 * 1/4
= 1/12.
The graph shows the number of pages in each chapter of a book that Josh is reading. A number line going from 2 to 28. 1 dot is above 2. 0 dots are above 4. 0 dots are above 6. 0 dots are above 8. 2 dots are above 10. 0 dots are above 12. 3 dots are above 14. 2 dots are above 16. 1 dot is above 18. 2 dots are above 20. 2. dots are above 22. 0 dots are above 24. 1 dot is above 16. 0 dots are above 28. Which statement is true about the effect of the 2-page introduction chapter? The outlier of 2 increases the median page count. The outlier of 2 increases the mean page count. The outlier of 2 decreases the median page count. The outlier of 2 decreases the mean page count.
Answer:
The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Answer:
D) The outlier of 2 decreases the mean page count.
Step-by-step explanation:
Hope this helps:)
cual es la raiz cuadrada de 625?
Respuesta: 25 o -25
la raíz cuadrada de 625 es 25 o -25
porque algo al cuadrado es 625 y 25 y -25 funcionan
estoy usando el traductor de Google, así que no te preocupes, esta traducción es extraña
A circle has a sector with area 64/5 pi
and central angle of 8/5 pi
radians.
What is the area of the circle?
Either enter an exact answer in terms of it or use 3.14 for and enter your answer as a decimal.
3 of 4
.
Answer:
The area of the circle is [tex]16\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of complete circle subtends a central angle of 2pi radians
so
using proportion
Find the area of the circle
[tex]\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2[/tex]
define these terms
social reform
predestination
revival
Answer:social reform:is a kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.
predestination:The act of predestining or the condition of being predestined. revival:is an act or instance of reviving or the state of being revived.
Answer:
Social Reform: A kind of social movement that aims to make gradual change, or change in certain aspects of society, rather than rapid or fundamental changes.
Predestination: The act of predestining or the condition of being predestined.
Revival: An act or instance of reviving or the state of being revived.
You have a bag of 12 marbles. Six are blue, two are green, three are yellow, and one is red. If you reach into the bag and pull out one marble, what is the probability that it will be yellow?
Answer:
1/4 or 25%
Step-by-step explanation:
Given that:
blue marbles : 6 green marbles : 2yellow marbles: 3red marble: 1Total marbles: 12If you reach into the bag and pull out one marble, so the probability that it will be yellow is:
P (Yellow) = Number of yellow marbles in the bag / Number of marbles in the bag
= 3/12
= 1/4 or 25%
Hope it will find you well.
The expression 15p+12r shows the total cost of buying p printed shirts and r plain shirts find the total cost if you buy two printed shirts and three plain shirts
In Mathematics, we use algebraic expressions to solve problems. In this case, substituting the numbers of printed and plain shirts into the given expression determines the total cost, which is 66.
Explanation:The subject of this question is in the discipline of Mathematics, specifically within algebraic expressions. The expression representing the total cost of buying shirts is 15p+12r, where p is the number of printed shirts and r is the number of plain shirts.
To find the total cost for buying two printed shirts and three plain shirts, we substitute p with 2 and r with 3 in the given expression.
So, the total cost becomes: 15*2 + 12*3 = 30 + 36 = 66. Therefore, the total cost of buying two printed shirts and three plain shirts is 66.
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Final answer:
The total cost of buying two printed shirts and three plain shirts can be calculated by substituting into the expression 15p + 12r. The result is a total cost of $66.
Explanation:
The student is asking how to calculate the total cost of buying printed and plain shirts. The expression to find the total cost is given as 15p + 12r, where p is the number of printed shirts and r is the number of plain shirts. To find the total cost for two printed shirts and three plain shirts, we substitute p with 2 and r with 3 into the expression, which gives us:
Total Cost = 15(2) + 12(3)
Total Cost = 30 + 36
Total Cost = 66
Therefore, if you buy two printed shirts and three plain shirts, the total cost would be $66.
A cylindrical pond has a 12 ft diameter, and the water in the pond is 5 ft deep. Water is being drained from the pond at a rate of 1 cubic foot per minute. How long will it take to drain the pond
Answer:
=452.16 ft^3
It will take 452.16 min.
Step-by-step explanation:
A ball is thrown into a lake, creating a circular ripple that travels outward at a speed of 5 cm per second. Express the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake. A = 25t A = 2576 A = Ar? A = 5t? None of the above
Answer:
The area of the circular ripple after t second is
A =25π t²
where A is in cm².
Step-by-step explanation:
Given that,
Circular ripple that travels outward at a speed of 5 cm per second.
It means that, the radius of the circular ripple increases at a seed 5 cm/ s.
Therefore the radius of the circular ripple after t seconds is
r(t)= 5t
where r(t) is in cm.
We know ,
The area of a circular object is = π r²
The area of the circular ripple after t second is
A= π(5t)²
=25πt²
where A is in cm².
The area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π
The formula for calculating the area of the circular ripple as a function of time is expressed as:
A(t) = πr(t)²
Given that the ripple travels outward at a speed of 5 cm per second, hence;
r(t) = 5tcm/s
Substitute the radius into the formula to have:
A(t) = π(5t)²
A(t)= 25t²π
Hence the area, A. of the circle in terms of the number of seconds, t, that have passed since the ball hits the lake is A(t)= 25t²π
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x - 5y = -15 if x = -5
Answer:
If x= -5 y=2
Step-by-step explanation:
1. Plug in -5 in X then solve for Y
2. Solve for y
-5 - 5y = -15
-5y= -10
y= 2
Hope this helps!
Answer:
y = 2
Step-by-step explanation:
First, put the -5 in for x:
-5 - 5y = -15
Then, add five to both sides to get - 5y by itself:
-5y = -10
Finally, divide both sides by -5 to get y:
y = 2
drop down 8x – 2 – 5x + 7 =
Answer:
3x + 5
Step-by-step explanation:
Add like terms together:
8x - 2 - 5x + 7
3x - 2 + 7
3x + 5
Someone please help me
Answer: -2 dab
Step-by-step explanation: add all the negatives = -40
Then add all positives +26
-40+26=-14 /7 numbers =-2
The graph of the function f(x) = (x +2)(x + 6) is shown below.
What is true about the domain and range of the function?
A. The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
X B. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
C. The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D. The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Find the area os the rectangle TOUR
Answer:
The answer to your question is 80 units²
Step-by-step explanation:
Data
R = (-6, -6)
U = (6, -2)
O = (4, 4)
T = (-8, 0)
Process
1.- Find the distance between R and U, and the points U and O
dRU = [tex]\sqrt{6 + 6)^{2} + (-2 + 6)^{2}}[/tex]
dRU = [tex]\sqrt{12^{2} + 4^{2}}[/tex]
dRU = [tex]\sqrt{144 + 16}[/tex]
dRU = [tex]\sqrt{160}[/tex] = 12.65
dUO = [tex]\sqrt{(4 - 6)^{2} + (4 + 2)^{2}}[/tex]
dUO = [tex]\sqrt{(-2)^{2} + (6)^{2}}[/tex]
dUO = [tex]\sqrt{4 + 36}[/tex]
dUO = [tex]\sqrt{40}[/tex] = 6.32
2.- Find the Area
Area = base x height
-Substitution
Area = 12.65 x 6.32
- Result
Area = 80 units²
Which ordered pair is a solution of the equation?
- x - 4y = -10
Answer:
-10,0
Step-by-step explanation:
(-10,0)
Two leopard seals, Snap and Snarl, start 210 meters apart. They swim toward each other at a constant speed of 10 km/h each. Gilly, a Gentoo penguin, starts at Snap and swims back and forth between the seals continually until the two seals meet. When going from Snap to Snarl, Gilly swims at 15 km/h, but when going from Snarl to Snap, Gilly swims at 20 km/h.
What is the total distance that Gilly swims before the seals meet?
9514 1404 393
Answer:
165 km
Step-by-step explanation:
Gilly's speed at 15 kph is 5 kph more than Snap's speed of 10 kph. That is, Gilly moves away from Snap at 5 kph.
Moving toward Snap, Gilly's closure speed is 10 kph +20 kph = 30 kph.
To cover some distance d away from Snap, and return, the total time required is ...
time = distance/speed
t_away = d/5
t_toward = d/30
The total distance Gilly travels is the product of speed and time.
t_away = (15)(d/5) = 3d
t_toward = (20)(d/30) = 2/3d
Then Gilly's average speed for the round trip is ...
speed = distance/time = (3d +2/3d)/(d/5 +d/30) = (11/3)/(7/30) = 110/7 . . . kph
__
The two sharks have a closure speed of 10 + 10 = 20 kph, so the time it takes for them to meet is ...
time = distance/speed = (210 km)/(20 km/h) = 10.5 h
In that time, Gilly travels ...
distance = speed · time = (110/7 km/h)(10.5 h) = 165 km
The total distance Gilly swims before the seals meet is 165 km.
_____
Additional comment
There are several ways this problem can be worked. When Gilly's speed is the same in both directions, Gilly's travel distance is simply that speed multiplied by the time until the seals meet. Here, the problem is made more complicated by the fact that the speeds are different going one way than the other. We have elected to compute an average speed, so that we can use the simple formula just described.
Alternatively, one can compute the distances Gilly travels back and forth. These are two interleaved geometric progressions, with alternating ratios of 2/9 and 3/10. The distances Gilly travels between meetings are ...
126, 28, 8.4, 28/15, 0.56, ... km
This sequence has a sum of 165 km that can be found by considering alternate terms. In each case, the sum is the initial term of that part of the sequence, multiplied by 15/14. Then the overall sum is (126 +28)(15/14) = 165.
i really need helppppp
Could it be a im doing the same thing
Answer: A which is x=-3
Step-by-step explanation:
You put 2x to the left hand side which makes it a negative. Then you move the 5 to the other side since 2x has a variable and 5 doesn't. You need to put one side of the equation with a variable and one not. Then 5 becomes -5 because you move it over. So it will be 6x-2x= - 7- 5.Then subtract 6x and 2x which is 4x. -7 subtract -5 equals -12. Divide -12 and 4 which makes it -x=3.
:
Mario walked at a rate of 23 miles every 10 minutes.
What was his walking rate in miles per hour?
Answer:
It might be 414 miles per hour. Sorry, I don't have an explanation for now, SO SORRY!
x^2+3x−4=0 Solve for x. Write the smaller solution first, and the larger solution second.
smaller x=
larger x=
Answer:
smaller x: -4
larger x: 1
Step-by-step explanation:
We need to factor this. In order to do so, we need to find factor pairs of the coefficient of x^2 (which is 1 in this case) and of the constant (-4 in this case) such that they add up to 3.
Here, the factors of 1 are obviously just 1 and 1. The factors of -4 are (1, -4), (-1, 4), and (2, -2). Notice that 1 * 4 + 1 * (-1) = 3, so we know that our factor pair from 1 is (1, 1) and our factor pair from -4 is (-1, 4).
Then, we factor this quadratic into: (x - 1)(x + 4) = 0. Now, solve for x by setting each of these two factors equal to 0:
x - 1 = 0 ⇒ x = 1
AND
x + 4 = 0 ⇒ x = -4
So, the solutions are x = -4 and x = 1.
Hope this helps!
Answer:
smaller x= -4
larger x= 1
Step-by-step explanation:
x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x(x + 4) - (x + 4) = 0
(x - 1)(x + 4) = 0
x = -4, 1
If the area of a circle is 36pi, what is the circumference
Answer:
113.1cm^2
Step-by-step explanation:
We know the area for a circle is pi * r^2, where r is the radius. We know the diameter, so all we need to do to find the radius is half the distance of the diameter, which would then be 6 cm. We plug in 6 as r, we get 36pi cm^2 as our exact answer. And a good approximation would be 113.1 cm^2.
Answer: 37.68
Step-by-step explanation:
First off our formulas are:
[tex]Area: A=\pi r^2\\Circumference: C=2\pi r[/tex]
Solve for r in the area formula.
[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt[]{\frac{A}{\pi} }[/tex]
[tex]r=\sqrt[]{\frac{36\pi}{\pi} }[/tex]
[tex]r=\sqrt[]{36}[/tex]
r=6
Plug this into the circumference formula.
[tex]C=2\pi r\\C=2(3.14)(6)\\C=37.68[/tex]
Here is a list of numbers that my teacher drew out of a hat from 49 possible numbers over the last 11 days: {35, 2, 39, 24, 19, 21, 39, 14, 24, 43, 8}. For this set of data, determine the:
a.) mean
b.) median
c.) mode
Answer:
a) Mean = 24.4 to the nearest tenth.
b) Median = 24.
c) There are 2 modes 24 and 39.
Step-by-step explanation
First list the numbers in ascending order:
2, 8, 14, 19, 21, 24, 24, 35, 39, 39, 43.
There are a total of 11 numbers.
a) Mean = sum of the above / 11 = 268/11
= 24.4.
b) Median = the middle number = 24,
c) Mode The numbers 24 and 39 occur twice so there are 2 modes.