Mathematics College

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

The length of a rectangle is 7x - 3 and the width is 2(x + 3). What is the perimeter of the rectangle?

Answers

Answer:

(18x + 6)m

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Perimeter = 2l + 2w

Perimeter = 2(7x - 3) + 2(2(x + 3))

Perimeter = 14x - 6 + 4(x+3)

Perimeter = 14x -6 +4x +12

Perimeter = (18x + 6)m

need help with these 2 questions

Answers

Answer:

There are no questions....

Are they on your prev one?

Cold day where I live! Stuck inside and need some help with math!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

4°

Step-by-step explanation:

Use tangent:

tan = opposite / adjacent

tan x = 1/14x = arctan (1/14)x = 4°

Please help

See the picture

Answers

Answer:

6

Step-by-step explanation:

Gud luck

Compute four-week and five-week moving averages for the time series. If required, round your answers to two decimal places. Week Sales 4 Period Moving Average 5 Period Moving Average 1 17 2 21 3 19 4 23 5 18 fill in the blank 1 6 16 fill in the blank 2 fill in the blank 3 7 20 fill in the blank 4 fill in the blank 5 8 18 fill in the blank 6 fill in the blank 7 9 22 fill in the blank 8 fill in the blank 9 10 20 fill in the blank 10 fill in the blank 11 11 15 fill in the blank 12 fill in the blank 13 12 22 fill in the blank 14 fill in the blank 15

Answers

Answer:

     fill in the blank 1      =20

fill in the blank 2    =20.25            

fill in the blank 3 =  19.4

   fill in the blank 4     =  19.75                  

 fill in the blank 5 =19.6                                                                  

 fill in the blank 6  =  19.25                    

fill in the blank 7=19.2

  fill in the blank 8  =   18              

fill in the blank 9= 19

fill in the blank 10 = 76/4=19                

  fill in the blank 11 =   18.8

Step-by-step explanation:

Week        Sales      4 Period Moving Average      5 Period Moving Average

1                  17                      

2                 21      

3                 19          

4                 23                  

5                  18              fill in the blank 1  

                                           =20

6                   16        fill in the blank 2               fill in the blank 3

                                       =20.25                            19.4

7                  20        fill in the blank 4                     fill in the blank 5

                                    19.75                                     19.6

8                   18          fill in the blank 6                fill in the blank 7

                                       19.25                                   19.2

9                   22       fill in the blank 8               fill in the blank 9

                                        18                                      19

10                20           fill in the blank 10            fill in the blank 11

                                           76/4=19                        18.8

11                15      fill in the blank 12                      fill in the blank 13

                                  20                                               19.2

12              22           fill in the blank 14               fill in the blank 15

                                      18.75                                   19

The formula used for moving average is

a1= 1/4 ( W1+W2+W3+W4)

a2= 1/4 ( W2+W3+W4+ W5)

a3= 1/4( W3+W4+ W5+W6)

and so on

Where W1= week 1, W2= week 2 ,W3=  week3

a1= 1st average , a2= 2nd average

The similar process is used for five year moving average

a1= 1/5 ( W1+W2+W3+W4)

a2= 1/5 ( W2+W3+W4+ W5)

a3= 1/5( W3+W4+ W5+W6)

Only it is divided by 5 instead of 4

To calculate the four-week and five-week moving averages, we need to sum up the sales for the specified number of weeks and divide by the corresponding period.

Week | Sales | 4-Period Moving Average | 5-Period Moving Average

-----|-------|------------------------|------------------------

1    | 17    |                        |                      

2    | 21    |                        |                      

3    | 19    |                        |                      

4    | 23    |                        |                      

5    | 18    | 20.00                  |                      

6    | 16    | 19.25                  |                      

7    | 20    | 19.50                  |                      

8    | 18    | 19.25                  |                      

9    | 22    | 19.00                  |                      

10   | 20    | 19.00                  |                      

11   | 15    | 18.75                  | 19.20                

12   | 22    | 18.75                  | 19.20                

13   | 22    | 19.75                  | 19.40                

14   |       | 19.75                  | 19.40                

15   |       | 19.75                  | 19.40                

The four-week moving average is calculated by summing up the sales of the current week and the previous three weeks, and then dividing by 4. The five-week moving average is calculated similarly, but with a period of five weeks.

Please help me with this problem!​

Answers

Answer: Yes

Step-by-step explanation:

Solving for the third angle in the left triangle, using the fact that angles in a triangle add to 180 degrees, we get the third angle is 180-50-60=70 degrees.

Thus, the triangles are similar by AA.

Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
​

Answers

2,007.5

Explanation: The round trip to go to the park is 5.5 (2.75 times). Then multiply 5.5 by 365 days and you’ll get 2,007.5

Jonathan is making 4 birdhouses. Each needs 7 3/4 feet of wood. How much wood is needed?​

Answers

Answer:

31 feet of wood is needed

I have no idea what this question is asking ​

Answers

Answer:

I think it's $200 as well since it asks how much money was borrowed.

Step-by-step explanation:

The 100th term of 80, 110, 140

Answers

Answer: 3050

formula: [tex]a_{n} =a_{1}+(n-1)*d[/tex]

80+99*30=3050

3050......................

what is the length of ML

Answers

first, find the circumference of the circle

2πr = 2π × 5

= 31.42 ft

then multiply the circumference with the angle given which is 50° divided by 360°.

31.42 × 50 ÷ 360 = 4.36 ft

answer = 4.36 ft

also can I get brainliest...plsss

What is the measure of angle GXI?

Answers

Answer:

Step-by-step explanation:

GXI with three points sounds like a triangle and a triangle angle equals 180 degrees.

Add picture and I'll try to solve full problem

If 3 students eat 2 pizzas how many pizzas are needed for 54 students

Answers

Answer:

18 pizzas

Step-by-step explanation:

find the distance between the two points

(1, 2), (-3, 5)​

Answers

Answer:

13

Step-by-step explanation:

if you  cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.

MULTIPLE CHOICE PLS ANSWER

Answers

Answer:

Option.B

Step-by-step explanation:

Its because if you add these two angles you get a supplementary angle or 180°

Using this we can form an equation to find the value of x.

(Hope this answer helps :))

(And is this question from Khan Academy?)

A container that holds beans is shaped like a cylinder. The radius of the container is 9 centimeters, and the height of the container is 11.25 centimeters.Which measurement is closest to the volume of the container in cubic centimeters?
2862.78
954.26
715.69
238.5

Answers

Answer:

I can't tell you the answer but pi is 3.1415

There are 40 people in a choir.
Half of the people in the choir are women.
The number of women in the choir is 5 times the number of
men in the choir.
The rest of the people in the choir are children.
the number of
children in the
choir
:
the number of
men in the choir
n : 1
Work out the value of n.
You must show how you get your answer.
n =

Answers

9514 1404 393

Answer:

  n = 4

Step-by-step explanation:

Of the 40 people, half are women, so there are 20 women.

There are 5 times as many women as men, so 20/5 = 4 are men.

The remainder are children, so there are 20-4 = 16 children.

The ratio of children to men is ...

  children : men = 16 : 4 = 4 : 1 = n : 1 . . . . . . . . remove a factor of 4 from 16:4

The value of n is 4.

A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)2x^3 − 5x^2 − 28x + 15 = 0; {1/2}

Answers

Answer:

2x^3 − 5x^2

Step-by-step explanation:

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

3. Which statement is true?
A. The only factors of 3 are 3 and 1.
B. The only factors of 4 are 4 and 1.
C. The only factors of 6 are 6 and 1.
D. The only factors of 8 are 8 and 1.

Answers

Answer: A

Step-by-step explanation: 4 can be divided by 2, 6 can be divided by 3, and 8 can be divided by 4. 3 can only be divided by 3 and 1, so the answer is A.

Hope this helps :)

Answer:

A) 3 is a prime number which means its only factors are itself and one

Step-by-step explanation:

all other options are composite numbers and have 3 or more factors:

factors of 4: 1,2,4

factors of 6: 1,2,3,6

factors of 8: 1,2,4,8

What value of y makes the equation 3y+ 9 = 36 true?

Answers

Answer:

y=9

Step-by-step explanation:

order least to greatest -5, -7, -0.75, 13, 0.75, 0.5, 9

Answers

Answer: -7, -0.75, -5, 0.5, 0.75, 9, 13

Step-by-step explanation:

Because negative numbers are always less

Which one of the following expressions has the same value as -11 + 6?

Answers

Answer:

1 + 4 = 5

Step-by-step explanation:

Please answer within the next 7 min, giving 38 points of a ligament answer!

Answers

The answer is choice C

(Will mark branliest please help!! :) Find the area of the figure.
A) 20 mm2
B) 40 m2
4 mm
4 mm 6 mm
C) 14 mm
D) 40 mm
4 mm

Answers

Answer:

Well, let's break it down.

Since calculating a triangle is like calculating a rectangle, then sawing it in half, we can correctly decide that the top and bottom right sections are both equal to twelve, adding up to 24.  Now for the other two, we can use another quick trick; by instead of adding the equal right triangles, you can skip the division and multiplication by two, leaving us with a square area of 16. 24 + 16 is 40, and since we are working with millimeters instead of meters, the answer must be D

tl/dr: D

Hope this helps!

Step-by-step explanation:

Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
long and one pair in 2 inches long. What shape could Tyshawn have drawn?

Answers

Answer:

Rectangle

Step-by-step explanation:

2 inches × 2 sides and 4 inches × 2 sides = a rectangle

A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer:

No; it will not double the volume of the box

Step-by-step explanation:

There were 56 signers of the Declaration of Independence. The circle graph shows their occupations.


Based on the graph, it could be inferred that —

Answer Choices

A. Merchants were too busy to be involved in independence.
B. Only a few farmers were interested in independence.
C. Most of the signers had some familiarity with the law.
D. Most of the signers were not interested in medicine.

Answers

Answer:Step-by-step explanation:

What is the value of mc015-1.jp g?

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

1456

Step-by-step explanation:

This question is asking us to find the sum of [tex]4(3)^{n-1}[/tex] from n = 1 to n = 6. We can find the sum like this:

[tex]4(3)^{1-1} +4(3)^{2-1} +4(3)^{3-1} +4(3)^{4-1} +4(3)^{5-1} +4(3)^{6-1}[/tex]

Which can be simplified to:

[tex]4(3)^{0} +4(3)^{1} +4(3)^{2} +4(3)^{3} +4(3)^{4} +4(3)^{5}[/tex]

[tex]4(1) +4(3) +4(9) +4(27)+4(81) +4(243)[/tex]

[tex]4 +12 +36 +108+324 +972 = 1456[/tex]

Use the figure to find the measures of the numbered angles.

Answers

Answer:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

Answer:

Step-by-step explanation:

1 = 81 degrees

2 = 99 degrees

3 = 81 degrees

4 = 99 degrees

5 = 81 degrees

6 = 99 degrees

7 = 81 degrees

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