Question 9 (1 point)

The histograms and summary statistics summarize the data for the number of hits in the season by baseball players

in two leagues. Each data set contains one outlier. What are the values of the two outliers? Explain how each value

is determined to be an outlier.

Some summary statistics for the number of hits by players in each league.

mean median standard deviation minimum Q1 Q3

maximum

league A 151.12 148 26.83

29

136 167 207

league B 163.25 157 24.93

136 145 178 256



Plsss helppp

Answers

Answer 1

Answer:

Step-by-step explanation:

League A                   League B

151.12                            163.25

148                                157

26.83                             24.93

29                                  136

136                                145

167                                178

207                               256

League A in ascending order :

26.83 , 29 , 136, 148 , 151.12 , 167,207

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564[/tex]

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=148

Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98[/tex]

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 26.83 , 29 , 136, 148

n = 4

Q1=82.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 148 , 151.12 , 167,207

n = 4

Q3=159.06

IQR = Q3-Q1=159.06-82.5=76.56

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

[tex](82.5-1.5\times 76.56,159.06+1.5\times 76.56)[/tex]

(-32.34,273.9)

So, There is no outlier

Maximum = 207

2)

League B in ascending order :

24.93,136,145,157,163.25,178,256

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45[/tex]

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=157

Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42[/tex]

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 24.93,136,145,157

n = 4

[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5[/tex]

Q1=140.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 157,163.25,178,256

n = 4

Q3=170.625

IQR = Q3-Q1=170.625-140.5=30.125

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

[tex](140.5-1.5\times 30.125,170.625+1.5\times 30.125)[/tex]

(95.3125,215.8125)

24.93 and 256 are outliers  

Maximum = 256


Related Questions

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answers

Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

the denominator in 6/9.75 is incorrect.

Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?​

Answers

Answer:

He scored 14 points per game.

84/6

Step-by-step explanation:

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Answer:

14

Step-by-step explanation:

To find the unit rate for the question you have to divide 84 by 6

Solve the equation for the red variable.

Answers

Answer:

w=6(6.6667-g)

Step-by-step explanation:

g=1/6w+6.6667

-1/6w=6.6667-g

-w=6(6.6667-g)

w=6(6.6667-g)

Solve −3.5 = x/4 for x using the multiplication property of equality.

The operation in the problem is
-Addition
-Subtraction
-Multiplication
-Divison

The inverse operation is
-Addition
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= x
0.5
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Answers

Answer:

Step-by-step explanation:

The operation in the problem is division

The inverse is multiplication

(-14)

Answer: division inverse= multiplication answer=-14

Step-by-step explanation:

20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.

Answers

Answer:

125 birr

Step-by-step explanation:

80%=100

1%=1.25

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Answers

7.

a. This is an equation because it has to parts, separated by an equal sign

b. 5 because 5 is the number b is multiplied by in the first part

c. idk

d. a, b, and c are the variables

e. idk

sorry haven't done this in a while

The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo? $ per ounce

Answers

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

$0.15 more per ounce does her conditioner cost than her shampoo.

Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The conditioner she likes to use costs $12 for a 30-ounce bottle.

Cost of shampoo per ounce =Total cost/Number of ounce

= 6/24

= $0.25 per ounce

Cost of conditioner per ounce =Total cost/Number of ounce

= 12/30

= $0.4 per ounce

Difference =0.4-0.25

= $0.15

Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.

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How do you know if an equation has one solution, no solutions, or infinitely many solutions?

Answers

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

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Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?

Answers

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

-----------------------------------

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)

a)10
b)13
c)31
d)34

Answers

Answer:

The answer is 13 hope it helps!<3

Step-by-step explanation:

what are all the fractions that are equivalent to 5/6​

Answers

Answer:

There are infinitely many equivalent fractions

Step-by-step explanation:

This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.

Find the value of a and b when x =10

Answers

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Let’s do a first.
So to start, we need to substitute 10 into the equation, so:
a = 5 x (10 squared) / 2
Which can be simplified to
a = 5 x 100 / 2
a = 500 / 2
a = 250

Now onto b. Again, we need to substitute 10 into the equation, so:
b = (2 x (10 squared))(10 - 5) / 10 x 10
Which can be simplified to
b = (2 x 100)(10 - 5) / 10 x 10
b = 200(10 - 5) / 10 x 10
b = 200(5) / 10 x 10
b = 1000 / 10 x 10
b = 1000 / 100
b = 10

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 790 lb. How many boxes of books can the delivery person bring up at one​ time?
The delivery person can bring up
nothing boxes of books.

Answers

Answer:

15

Step-by-step explanation

So, since the weight of the delivery person is 160 lbs... and the weight limit of the elevator is 790 lbs...  Then you could subtract. If you subtract 790 lbs and 160 lbs you get 630 lbs.

So, this means that 630 lbs of boxes can go in the elevator

Since each box weighs 40 lbs, then you could divide the remaining pounds that could go on the elevator and the weight of each box. If you divide 630 lbs and 40 lbs, then you would get 15.75, but you can't carry a 75th of a box. So you in this circumstance, you would round down 15.75 to 15.

In conclusion, that's how I got my answer of 15

What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.

Answers

Answer:

0.8 or 4/5

Step-by-step explanation:

[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex]8 \times \frac{ 1 }{ 10 }[/tex]

[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]

[tex]\frac{8}{10} [/tex]

[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]

[tex]\frac{4}{5} [/tex]

[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]

How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

The equation will not have an equal sign because that’s what represents an equation

Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Step-by-step explanation:

There you go homies

GIVING BRAINLIEST! what is the slope and the y-intercept of the line on the graph below?

Answers

Answer:

Your answer is C. the y intercept is 1 and the slope is -1/4. Hope this helped!

Step-by-step explanation:

PLS help in this questions. Thanks !

Answers

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Which shows how to best estimate the product of 0.4 x 0.93?

0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1

Answers

Answer:

b

Step-by-step explanation:

Answer:

C. 0.5 times 1 = 0.5

A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332

Answers

Hi! I think it’s 425

An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?

Answers

Answer:

  piece1:   14 feet

  piece2:  16 feet

Step-by-step explanation:

piece1:   x

piece2:  x + 2

x + x + 2 = 30

2x + 2 = 30

2x = 28

x = 14

piece1:   x = 14

piece2:  x + 2 = 14 + 2 = 16

Length of short piece = x
Length of longer piece = x + 2
Given x + x + 2 = 30, 2x = 28, x=14
Pieces are 14ft and 16ft long

Make s the subject of the formula

T^2=2p+as

Answers

Step-by-step explanation:

Original formula: T^2 = 2p + as

T^2 - 2p = as

s = (T^2 - 2p) / a

NEED HELP ASAP PLEASE.

Answers

Answer:

b.40

Step-by-step explanation:

X^2+ 17x+91=0
Help please!!

Answers

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

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