In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What are the lower and upper limits of a box-and-whiskers display of this data

Answers

Answer 1

Answer:

[tex]L =52[/tex] --- Lower Limit

[tex]U =82[/tex] --- Upper Limit

Step-by-step explanation:

Given

[tex]N = 10[/tex]

[tex]Data: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66[/tex]

Required

Determine the lower and upper limits of box and whisker display

First, arrange the data in ascending order

The sorted data is:

[tex]Data: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77[/tex]

The lower limit (L) is calculated using:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

The upper limit (U) is calculated using:

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

Q1 is calculated using:

[tex]Q_1 = \frac{1}{4}(N+1)[/tex]

[tex]Q_1 = \frac{1}{4}(10+1) = 2.75 = 3rd\ data[/tex]

[tex]Q_1 = 67[/tex]

Q3 is calculated using:

[tex]Q_3 = \frac{3}{4}(N+1)[/tex]

[tex]Q_3 = \frac{3}{4}(10+1) = 8.25= 8th\ data[/tex]

[tex]Q_3 = 77[/tex]

So:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

[tex]L =67 - 1.5*(77-67)[/tex]

[tex]L =67 - 1.5*10[/tex]

[tex]L =67 - 15[/tex]

[tex]L =52[/tex]

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

[tex]U =67 + 1.5*(77-67)[/tex]

[tex]U =67 + 1.5*10[/tex]

[tex]U =67 + 15[/tex]

[tex]U =82[/tex]


Related Questions

Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question

Answers

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

HELP PLS DUE TOMORROW WILL GIVE BRAINLIEST

what information is necessary to prove the triangles congruent by SSS, and what information is necessary to prove the triangles congruent by HL? show work pls​

Answers

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN

Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1

Answers

Answer:

1:3

Step-by-step explanation:

but thats not and answer

Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP

Answers

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

[tex]c^2=a^2+b^2[/tex]

We have a right triangle.

[tex]c^2>a^2+b^2[/tex]

We have an obtuse triangle.

And if:

[tex]c^2<a^2+b^2[/tex]

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]

Evaluate:

[tex]1681=1681[/tex]

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.


A:y=-2x
B:y=-2x-3
C:-3x+2
D:y=-3x

Answers

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

NEED HELP WITH GEOMETRY

Answers

Answer:

1. 37

2. 50

3. 50

4. 40

Step-by-step explanation:

hope I helped!!

I am not positive on angle M< 4

M< 1 = 37

M< 2 = 50

M< 3 = 50

M< 4 = 40

Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.



The length of the bottom side of Drawing 2 is ______ cm. please help

Answers

Answer: 7.95

Explanation:

Find scale factor:

Scale factor = small length/larger length

Scale factor = 5.3/13

Find the bottom side of drawing 2:

19.5 x 5.3/13 = 7.95

Solve for t.
5 = 2 + 3t

Answers

Answer:

T = 1

Step-by-step explanation:

5 - 2 = 3 since it has to be 3, T = 1, therefore, it will still be 3 and not any other number

Answer:

1

Step-by-step explanation:

3-2=1

(to check: 2+(3x1)= 5)

CAN SOMEONE PLEASE HELP ME?

Solve the equation: (5x+1/2)^2=9/16

Answers

Answer:

x=-7/160

Step-by-step explanation:

what is the surface area of this shape ?

Answers

Answer:

what is the surface area of this shape? 328 yd

Step-by-step explanation:

Surface area = 2 × (11×8 + 11×4 + 8×4)

Surface area = 2 × (88 + 44 + 32)

Surface area = 2 × 164

Surface area = 328 yd

How many grams are in 1 pound (on Earth)? Round to the nearest tenth.

Answers

Answer:

453.6, or 453.59237

Step-by-step explanation:

Answer:

28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6

Step-by-step explanation:

First you must convert ounces to grams

Then, you must convert the ounces to pounds

You do this by knowing that 1 oz is 1/16 of a lb

Knowing that 28.35 grams are in 1 oz

You then multiply the 28.35 grams by the 16 oz

Which gives you 453.6 0r 453.60 grams in 1 lb

whats the answer to -6 = 3/2z​

Answers

Answer:

Step-by-step explanation:

-6=3/2z

-12z=3

z=-4

Super easy. I just dont feel like adding it up.

What is the total monthly income for a person who works 12 hours a week, earning a net pay of $9 per hour. And they also receive $15 each week from their parents.

What is his total income for the month?

Answers

Answer:

Step-by-step explanation:

lets assume that the month has 4 weeks

12h/week with 9 dollars/hour

week=12*9=108

108+15=123

123*4 weeks=492 dollars month total income

Answer:

492

Step-by-step explanation:

9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492

10h + 3y + 6 -4h -y -2 simplified

Answers

Answer:

6 h + 2 y + 4 is your answer

Step-by-step explanation:

Hope this helps! :)

Answer:

6h+2y+4

Step-by-step explanation:

so all you do is just subtract common factors so for 10h you just do 10h -4h and get 6h and do that for the rest

Select the correct answer from each drop-down menu.

ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.

The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___​

Answers

i can answer this for you but how do u want the answer like is radical form, rounded to the nearest tenth? hundredth?

Answer:

The length of side AB is

(50)^1/2

units. The length of side BC is

(65)^1/2

units. The length of side AC is

(145)^1/2

units. ∠ABC ≈  

105.26°.

What is the measure of ZABD?

Answers

39° because a right angle adds up to 90°

Answer:

39

Step-by-step explanation:

Arthur walked 6 kilometers around the park, and D.W. sprinted 200 m at the park. How many meters did they travel in total?

Answers

Answer:

6200 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer should be 6200

plz help plzzzzzzzzzz

Answers

C. 9 acts as a radius then you plug it into the circumference equation and 55
C hope this helped:)))

What is the area of this parallelogram?

Answers

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

David has a coin and a number cube. The number cube is labeled 1 through 6. He flips the coin once and rolls the number cube once. What is the probability that the coin lands tails-up and the cube lands on an even number.(PLEASE HELP MATH &TH GRADE GONNA FAIL IF I DONT PASS)

Answers

Answer:

3/12

Step-by-step explanation:

what is the leading coefficient for the polynomial -3x^2-5x-4

Answers

The leading coefficient is -3
The leading coefficient is -3. This is because leading coefficient is always the constant in front of the x value with the highest square root.

How do u calculate Pythagorean theorem and what is the formula

Answers

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

What are your plans for the future?Which profession would you like to pursue and why?​

Answers

i plan on attending collage, and getting my masters degree. i would like to become a nurse! i want to be a nurse to help people and be able to know i’m doing something good!!

Answer:

I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.

A dripping faucet leaps 1.8 ounces per minute. How many ounces leak in 30 minutes?

Answers

Answer:

54 ounces

Step-by-step explanation:

1.8 * 30 = 54

Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?​

Answers

Answer:

$9.75

Step-by-step explanation:

This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)

$204.75 divided 21hours=$9.75/hr

1. Which is greater 0.045 or 0.405?

Answers

Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ2

Let f(x) = -8x + 4 and g(x) = 3x2 + 5. Find f(7) + g(7) .

Answers

Answer:

-7

Step-by-step explanation:

substitute both x's for 7:

(-8(7)+4)+ (3(7)2+5)

= -54 + 47

= -7

If two triangles are similar what is true regrading the sides of the two triangles

Answers

Answer:

A triangle has 3 sides so if it has to  add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3

Step-by-step explanation:

and that is my answer to the problem se ya

what is the solution of this proportion 4/9 = 6/d

Answers

Answer:

d = 2/27

Remember that when a variable is times with a number you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you and thank you !!

A fitness club charges its members a one-time fee of $40 and a monthly rate of $25. Let m represent the number of months. Write an expression for the total amount paid after m months. Then find how much a customer will have paid after 5 months. 6.EE 2, 6.EE 2a, 6.EE.6 Expression: Cost:​

Answers

Answer:

40 + 25m

40 + 25(5) = $165 after 5 months

Step-by-step explanation:

40 + 25m

40 + 25(5) = $165

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