Five plumbers charge different hourly
rates: $35, $42, $52, $38, and $42.
Find the mean, median, mode, MAD,
and IQR of these values. Which
measure of center and which measure
of variability best describe the data?

Answers

Answer 1
**The mean is: $41.8**

Explanation: for mean you add all the numbers up and divide it based upon how much numbers there are in total, so for this problem it would be:
$35 + $42 + $52 + $38 + 42 ÷ 5 = 41.8

**The median is: $42**

Explanation: to find the median we arrange the numbers from least to greatest or greatest to least you’ll get the same answer for median.
Original: $*35, $*42, $52, $*38, $*42

Least to greatest: ($35, $38, $42, $42, $52)

Greatest to least: $52, $42, $42, $38, $35)

Then we find the number in the center which is: $42 for the median.

**The mode is: $42**

Explanation: To find the mode we just see what number was repeated the most which in this case is $42

**MAD (Mean Absolute Deviation) is: $4.24**

Explanation to find the MAD we need to first add all the numbers up and divide them by the number of elements there are in the data set in total.
So we do,
$35 + $42 + $52 + $38 + 42 ÷ 5 = 41.8
Just as we did for finding the mean the difference for this though is after we’ve found this number we subtract each number by 41.8
and when we subtract the rule is there is no negative numbers so if any you subtract turn out to be negative you change it to positive so it would be:
$35 - $41.8 = (-6.8) change to + = 6.8
$42 - $41.8 = 0.2
$52 - $41.8 = 10.2
$38 - $41.8 = (-3.8) change to + = 3.8
$42 - $41.8 = 0.2

Then we add all the numbers up we just got and divide it by the number of elements in the date set so we do, $6.8 + $0.2 + $10.2 + $3.8 + $0.2 = 21.2 ÷ 5 = $4.24

**IQR (Interquartile Range) is: $10.5**

Explanation to find the IQR we order the numbers least to greatest or greatest to least it doesn’t matter which order you do it.

Greatest to least: $52, $42, $42, $38, $35

Least to greatest: $35, $38, $42, $42, $52

Q1 is: $36.5
Explanation: we get this by adding:
$35 + $38 ÷ 2 = 36.5

Q2 is: $42
Explanation: it’s right in the center

Q3 is: $47
Explanation: we get this by adding:
$42 + $52 ÷ 2 = $47

In order to find IQR we need to do Q3 - Q1
So, $47 - $36.5 = $10.5

**Measure of the center: (Mean = $41.8, Median = $42, Mode = $42, Range = $17**

Explanation: for range we simply subtract the biggest number from the smallest one which would be $52 - $35 = $17

**Measure of variability: (range = $42, Standard deviation = $2.91, Variance = $8.48)**

Explanation for standard of deviation we first find the mean which is $41.8, then we subtract each number be $41.8 which will give us these numbers which we’ll multiple by 2:
$6.8 x 2 = $13.6
$0.2 x 2 = $0.4
$10.2 x2 = $20.4
$3.8 x 2 = $7.6
$0.2 x 2 = $0.4
Then the numbers you get you add up and divide it by the number of elements in the data, which would be $13.6 + $0.4 + $20.4 + $7.6 + $0.4 = 42.4 ÷ 5 = 8.48
So the variance is: $8.48
Then to find the standard deviation we square root $8.48 which gives us: $2.91

Related Questions

Which retirement plan is managed by an insurance company?

a Fixed Annuity
b Pension Plan
c Roth IRA
d Traditional IRA

Answers

Answer:

Fixed Annuity

Step-by-step explanation:

Fixed annuity is the most common annuity

During the accumulation phase, the individual makes a lump-sum payment or multiple payments over time to the insurance company

The insurance company invests the money as it sees fit, along with the money of other participants, forming a pool of invested funds

Answer Is A Because A fixed annuity is a type of insurance contract that promises to pay the buyer a specific, guaranteed interest rate on their contributions to the account. By contrast, a variable annuity pays interest that can fluctuate based on the performance of an investment portfolio chosen by the account's owner.

Please answer I’ll give Brainly

Answers

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 people on the data plot.

5 of them got 15 questions or more correct, meaning 5/8 people got 15 or more questions correct.

5/8 = 5 ÷ 8

5 ÷ 8 = 0.625

0.625 = 62.5%

Expand (2+x)^3 using binomial theorem​

Answers

Step-by-step explanation:

= 2³ + x ³ + 3(2)²x + 3(2)x²

= 8 + x³ + 12x + 6x²

= x³ + 6 x² + 12 x + 8

please help me w ith thsi

Answers

Hi there! :)

[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]

Find the area of the shape using the formula for the area of a trapezoid:

A = 1/2(b1 + b2) · h

Where:

b1 = base 1

b2 = base 2

h = height

A = area

Plug in the given bases and height:

A = 1/2(7.5 + 2.5) · 2.5

Simplify:

A = 1/2(10) · 2.5

A = 5 · 2.5

A = 12.5 units²

Maths question is very hard

Answers

yeah it is hardddd.

Answer:

I cant quite see the question or understand what your asking.

Find the area of the regular polygon

Answers

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answers

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

For the rectangular prism, the length is 3 1/2 inches, and the height is 5 1/2 inches.
What is the width?

Show your work or justify your solution.

Answers

Answer:

no answer

Step-by-step explanation:

This is because,before finding the width,length,and height of the block, there should be a stated volume,or some other parameters or properties of the prism must be stated, as such the answer cannot be determined

Answer:

thanks

Step-by-step explanation:

If a Tv costs $910 and the sales tax is $80, how much will the TV cost in total?

Answers

Answer:

$1,638.00

Step-by-step explanation:

Before Tax Price: $910.00

Sale Tax: 80.00% or $728.00

After Tax Price: $1,638.00

There Are The Before And After :D!!

2+2 >:) so complicated

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 and thank u or the free points

Step-by-step explanation:


A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answers

Answer:

the island is 1787.63ft far.

Step-by-step explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft

Mrs Tyler rolls a die each day to see how many points the homework will be worth that day. What is the probability that she rolls a 6 on Monday and a number less than 3 on Tuesday

Answers

Answer:

2/12

Step-by-step explanation:

5 A box of donuts holds
12 donuts. One-fourth
of the donuts have
sprinkles. Of the remaining
donuts, one-third have
cherry filling. The rest are
plain, What percent of the
donuts are plain?

Answers

Answer:

91.6667%

Step-by-step explanation:

1/3 of 1/4 = 1/12

11/12 = 91.6667%

Have a great day <3

Answer:

50% of the donuts are plain

Step-by-step explanation:

out of 12 donuts, 1/4 have sprinkles. This results in 3 donuts having sprinkles. 3 out of 12 is 9. 1/3 of 9 is 3. 3 donuts have cherry filling. The rest, which is 6 are plain. 6 is 50% of 12.

Will mark brainliest for any help!

Answers

Answer:

2) 523.3 in²

Steps:

the given polygon is a heptagon

a regular heptagon's area = 7/4 × s² × cot(180°/7)

for the given heptagon

A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)

Can I please have help I will mark brainly est

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

I believe its SQUARE! Cuz it says 4 right angles.....

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.​

Answers

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

I don’t understand this. Please help me.

Answers

Answer:

A

Step-by-step explanation:

To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.

There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent

Answers

Answer:

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.

This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]

The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.

Delia put I two bags of blocks in the left-side pan of a balance. Each bag has the
same number of blocks. After she adds 10 blocks to the right-side pan, the pans
hang evenly. How many blocks are in 1 bag?

Answers

I agree the top of me is correct :)

72 is 40% of what number? A. 18 B. 144 C. 180 D. 280

Answers

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

is the marked equation right?
i cola in for me please

Answers

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Why is stock data calculated using the subtraction and addition method instead of a simple moving average? PLEASE HURRY I AM TAKING A TEST

Answers

Answer:

The moving average (MA) is a simple technical analysis tool that smooths out price data by creating a constantly updated average price. The average is taken over a specific period of time, like 10 days, 20 minutes, 30 weeks or any time period the trader chooses. There are advantages to using a moving average in your trading, as well as options on what type of moving average to use. Moving average strategies are also popular and can be tailored to any time frame, suiting both long-term investors and short-term traders.

Step-by-step explanation:

One disadvantage to solving systems using substitution is that isolating a variable often involves dealing with messy fractions. There is another method for solving systems of equations: the addition/subtraction method.

In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.

sorry it is so long, i hope this helps!

what is the equation of the line in slope-intercept form?

Answers

Answer:

y = 8x

Step-by-step explanation:

Slope intercept form is y = mx + b

y = y coordinate

m = slope, rise over run

x = x coordinate

b = y-intercept, where the line crosses the y-axis.

y = mx + b

y = 80/10x + 0

y = 8x + 0

y = 8x

Answer:

y=-8x

Step-by-step explanation:

Helpppppppppppppppppp

Answers

The number on top of sigma is the number of terms.

The answer is C. 8 terms.

The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?

Answers

If you drove at 80mph it would take you approximately 3 hours

This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.

25% of 4 hours is 1 hour

4 hours - 1 hour = 3 hours

8p(-3p^2+6p-2) hellpppppppp

Answers

-16p was my answer after simplifying it

Answer:

120p - 16p = 104p

Step-by-step explanation:

-3p x -3p = 9p + 6p = 15p x 8p = 120p

8p x -2 = -16p

120p - 16p = 104p

Please wait for more responses if needed thank you.

If x = 5, then which of the following equations makes a true statement?

Answers

i dont know. dear you should maybe try adding a picture.. help me out a bit.

There are 12 pieces of candy in a bowl. 6 are mints, 4 are Butterscotch, and 2 are Cinnamon.

What is the probability of Mr. Sommer
pulling out mint, putting it back, and then
choosing mint again? P(mint, then mint)

Answers

Answer:

6/12

Step-by-step explanation:

I think that's right because once you put that mint back it's not decreasing in value so it would stay as 6/12

Find the greatest common factor of 28 and 35

Answers

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Answers

Answer:

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 0 and 5 minutes.

This means that [tex]a = 0, b = 5[/tex]

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

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