The ages of the racers in a bicycle motocross race are 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29. The 30-year-old drops out of the race and is replaced with a 15-year-old. How are the mean, median, and mode of the ages affected?

Answers

Answer 1

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2


Related Questions

Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Answers

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

What type of angles are 2 and 7?

A. Supplementary angles
B. Alternate exterior angles
C. Alternate interior angles
D. Vertical angles

Answers

Answer:

B: Alternate Exterior Angles


Find the area of the shaded region in terms of x.

Answers

Answer:

35x^2 - 71x + 15

Step-by-step explanation:

look at the photo

Martina will make flower arrangements with 3 roses in each arrangement. She will use the equation y = 3x to find the total number of roses she needs. What does x represent in the equation

Answers

X represents each rose and y represents each arrangement

X represents the number of arrangements.

The surface of a rectangular table has a perimeter 20 feet. Its area is 21 square feet. What are the dimensions of the table?​

Answers

Answer:

7 and 3

Step-by-step explanation:

We know that all 4 sides have to add up to 20 and that 2 of the sides are the same because it's a rectangle. To find the area, we have to do length times width. Two different sides have to equal 21 when multiplied. The factors of 21 are 1, 3, 7, and 21. Let's try 1 and 21. We need an area of 21. 1 x 21 = 21 so it satisfies that. Now let's find the perimeter.21 + 21 + 1 + 1 = 44, but we need an perimeter of 20. Now, let's try 7 and 3. 7 x 3 = 21, so it satisfies the area. 7 + 3 + 7 + 3 = 20, so it also satisfies the perimeter. Therefore, 7 and 3 are the dimensions of the table.  

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

i missed a day of school and we started a new unit lol

Answers

180-90-45 = 45 so 45

b= (x+7) a= (x=1)=180 solve for angle a and b

Answers

b=(x+7)a=(x=1)=180 then 37

B(10,15) B´(4,6) Which type of transformation is that?​

Answers

I believe this a reduction

Find the value of x! First person to correctly respond gets brainliest!!

Answers

Answer:

180-33 = 147

Step-by-step explanation:

Please help with this question... Which expression is equivalent to x^3/2?​

Answers

Answer: D

Step-by-step explanation:

Answer:

Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6


A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm

Answers

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Gail ran 6/10miles on Saturday and 6 8/10 miles on Sunday. How many miles did Gail run over the weekend?

Answers

Answer:

7 2/5 miles

Step-by-step explanation:

6/10 + 6 8/10 = 6 14/10 = 7 4/10 = 7 2/5 miles

HELP FOUR MORE MINUTES LEFT ON MY TEST!

Answers

The angle MFE= 28 degrees

If 6 pounds of grapes costs $1.89, how much would 15 pounds of grapes cost?

Answers

So divide 1.89 by 6 to see how much would one pound of grape be
1.89/6=0.315
Then multiply 0.315 (price for one pound of grape ) by 15
0.315*15 =4.725 $for 15 pounds of grape

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

Answers

Answer:

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units

please i need a answer and u will get good deeds

Answers

Answer:

she uses 43 kilograms of clay in all

Step-by-step explanation:

Logan bought two pounds of strawberries for $11.20. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

You will have to divide $11.20 by 32 ounces to find how much it is per ounce:

Each ounce of strawberries costs $0.35

Step-by-step explanation:

Answer:

Each ounce of strawberries will cost $0.35

Step-by-step explanation:

11.20/32 = 0.35

Enter the resulting inequality.
13>-3; Subtract 13 from both sides.
The resulting inequality is

Answers

Answer:

10>-6

Step-by-step explanation:

Subtract 3 from both sides, 13-3=10, -3-3=6

The original inequality is true

Answer:

The answer is 0>-16

Step-by-step explanation:

[tex]13 > - 3 \\ 13 - 13 > - 3 -1 3 \\ 0 > - 16[/tex]

4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

1 1/2 - 2/5 ÷ 4 2/5 × 3/4​

Answers

Answer:

1 19/44 (1.4318182)

Answer:

1 19/44

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form

Answers

y=3/5x+5

hope this helps!!

This is the homework problems!

Answers

That is the angle for C not A

Help 40 points!!! Brainlist!!!

Answers

Answer:

V=one third (3)(3)(5)

Step-by-step explanation:

What is 1,198,145 rounded to the nearest ten thousand?

Answers

Answer: 1,200,000

Explanation:

15 if a die is rolled, what is the probability of getting an even number? P(even) number​

Answers

The probability of getting an even number is 3/6 or 1/2.

Find the area of the figure and choose the appropriate result.
1 m
3.5 m
8 m

Answers

Answer:

Area if figure = 22 m²

Step-by-step explanation:

Given:

Length of rectangle = 8 m

Width of rectangle = 1 m

Base of triangle = 8 m

Height of triangle = 3.5 m

Find:

Area if figure

Computation:

Area if figure = Area of rectangle + Area of triangle

Area if figure = [l x b] + [(1/2)(b)(h)]

Area if figure = [8 x 1] + [(1/2)(8)(3.5)]

Area if figure = 8 + 14

Area if figure = 22 m²

The sum of two numbers is 52 and the difference is 12. What are the numbers?

Answers

Answer:

32 and 20

Step-by-step explanation:

x + y = 52

x - y = 12

2y = 40

y = 20

x = 32

please help me with this

Answers

Answer:

808+808=1616 340+340=680  then 1616-680=976

Step-by-step explanation:

you need to add 808 plus 808 which is 1616 then add 340 plus 340 which is 680, then subtract 1616-680 which is 976.

Lisa purchased almonds for $3.00 per pound and she spent $24.90. How many pounds of almonds did she purchase? The price went up to $3.50 a pound and lisa only had 25.00 how many pounds of almonds can she buy and whats her chance?

Answers

Answer:

1. Lisa purchased almonds for $3.00 and spent $24.90.

The quantity of almonds bought is therefore:

= Total amount spent / Cost per pound

= 24.90 / 3

= 8.3 pounds

2. If the price goes up to $3.50 per pound and the maximum Lisa can spend is $25, the number of pounds she can get is:

= Maximum amount for almonds / Price per almonds

= 25 / 3.5

= 7.14 pounds

Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost $8.00 and tickets for children (y) cost $4.50. Which inequality represents the number of adults and children who can go to a show using the $30 gift certificate?

Answers

8+4.50= 12.5
12.5 times 3= 37.5 which is higher than 30 therefor it has to be 2 because 12.5 times 2= 25

Answer= 2

The inequality that represents the number of adults and children who can go to a show using the $30 gift certificate is:

x < 4 and y < 7.

Where x is the number of children and y is the number of adults.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Makenzie got a $30 gift certificate to the local theater for her birthday. Adult tickets (x) cost = $8.00

Children's tickets (y) cost =  $4.50

Now,

The number of children who can go to the theater.

4.50y = 30

y = 30/4.50

y = 6.67

This means,

y < 7 _____(1)

Now,

The number of adults who can go to the theater.

8x = 30

x = 30/8

x = 3,75

x < 4 ______(2)

Thus,

From (1) and (2).

The inequality represents the number of adults and children

x < 4 and y < 7.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Other Questions
The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra, how many boys are in the orchestra? (GIVING BRAINLIEST!!) Suppose your friend says he can solve 3x = 15by using the Multiplication Property of Equality. Is he correct? Unlike savings accounts, banks expect people to make frequent withdrawals and deposits to checking accounts.TrueFalse Peter has 7 oranges sam as 5 and mary has 3 . What is the ratio of the oranges of peter mary and sam Adam measured a line to be 6.4 inches long. If the actual length of the line is 6.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Assume that Simple Co. had credit sales of $248,000 and cost of goods sold of $148,000 for the period. Simple uses the aging method and estimates that the appropriate ending balance in the Allowance for Doubtful Accounts is $2, 800. Before the end-of-period adjustment is made, the Allowance for Doubtful Accounts has a credit balance of $230. What amount of Bad Debt Expense would the company record as an end-of-period adjustment? Melinda baked 40 muffins for her school bake sale. At the bake sale, each muffin cost $1.50. How many money would the bake sale make if they sold all of Melinda's muffins? Oriole Company had 302000 shares of common stock issued and outstanding at December 31, 2020. During 2021, no additional common stock was issued. On January 1, 2021, Oriole issued 404000 shares of nonconvertible preferred stock. During 2021, Oriole declared and paid $171000 cash dividends on the common stock and $155000 on the nonconvertible preferred stock. Net income for the year ended December 31, 2021, was $964000. What should be Oriole's 2021 earnings per common share, rounded to the nearest penny Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. who want brainlist??? Please help me with this I put the story with it too Find the value of x and y. This has to do with geometry Please help, I have been trying to figure this out, please help i beg you Identify the wave that has the highest amount of energy Domino construction uses _______________a.vertical steel support and horizontal slab of reinforced concrete which is connected by stairways.b.a horizontal beam that extends past its vertical support.c.suspension cables which are suspended from vertical supports anchored into the ground or a riverbed.d.one or more triangular units that are connected at the joints by long beams Two trains, Train A and Train B, weigh a total of 510 tons. Train A is heavier than Train B. The difference of their weights is 484 tons. What is the weight of each train? Two Way Table 1SUV Sedan TotalsMale21396045180FemaleTotal 15684The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers.Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?es )A)0.25B)0.55C)0.75D)0.87 I Honestly Don't Know The First Step To Solving This Please read the short story "Sleeping" By Katharine Weber. Once you have finished, you will write your ideas down to continue the writing prompt avaliable at the end of the story.SleepingBy Katharine WeberShe would not have to change a diaper, they said. In fact, she would not have to do anything at all. Mrs. Winter said that Charles would not wake while she and Mr. Winter were out at the movies. He was a very sound sleeper, she said. No need to have a bottle for him or anything. Before the Winters left they said absolutely please not to look in on the sleeping baby because the door squeaked too loudly.Harriet had never held a baby, except for one brief moment, when she was about six, when Mrs. Antler next door had surprisingly bestowed on her the tight little bundle that was their new baby, Andrea. Harriet had sat very still and her arms had begun to ache from the tension by the time Mrs. Antler took back her baby. Andy was now a plump seven-year-old, older than Harriet had been when she held her that day.After two hours of reading all of the boring mail piled neatly on a desk in the bedroom and looking through a depressing wedding album filled with photographs of dressed-up people in desperate need of orthodonture (Harriet had just ended two years in braces and was very conscious of malocclusion issues) while flipping channels on their television, Harriet turned the knob on the baby's door very tentatively, but it seemed locked. She didnt dare turn the knob with more pressure because what if she made a noise and woke him and he started to cry?She stood outside the door and tried to hear the sound of a baby breathing but she couldnt hear anything through the door but the sound of the occasional car that passed by on the street outside. She wondered what Charles looked like. She wasnt even sure how old he was. Why had she agreed to baby-sit when Mr. Winter approached her at the swim club? She had never seen him before, and it was flattering that he took her for being capable, as if just being a girl her age automatically qualified her as a baby-sitter. By the time the Winters came home, Harriet had eaten most of the M & M's in the glass bowl on their coffee table: first all the blue ones, then the red ones ,then all the green ones, and so on, leaving, in the end, only the yellow.They gave her too much money and didnt ask her about anything. Mrs. Winter seemed to be waiting for her to leave before checking on the baby. Mr. Winter drove her home in silence. When they reached her house he said, My wife. He hesitated, then he said, You understand, don't you? and Harriet answered Yes without looking at him or being sure what they were talking about although she did really know what he was telling her and then she got out of his car and watched him drive away.Writing PromptYou have just read Sleeping by Katharine Weber in which a young girl is asked to babysit a child that she will never see. In an essay, narrate what happens after Mr. Winter drops Harriet off at home. Be sure to use what you have learned about the setting, characters, and plot of the passage as you write your continuation.Your writing will be scored based on the development of ideas, organization of writing, and language conventions of grammar, usage, and mechanics. Find the area of the shaded polygons