100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows: 45 measurements were between 0.859 and 0.900 0.901 was observed once 0.902 was observed three times 0.903 was observed twice 0.904 was observed four times The smallest value was 0.859, and the largest value was 0.958. The sum of all 100 measurements was 91.170. Except those noted, no measurements occurred more than twice. What is the median of the measurements

Answers

Answer 1

Answer:

The median is [tex]Median = 0.903[/tex]

Step-by-step explanation:

From the question we are told that  

   The sample size is n =  100

   The  [tex]1^{st} \to 45^{th}[/tex] measurements is  [tex]= 0.859 \to 0.900[/tex]

    Generally since that after 0.900 we have  0.901 , then the

     [tex]46^{th} \ measurement \ is \ 0.901[/tex]

in the same manner the  [tex]47^{th} \ measurement \ is \ 0.902[/tex],

Given that 0.902  was observed three times it means that

                                         [tex]47^{th},48^{th},49^{th} \ measurement \ is \ 0.902[/tex],

Given that 0.903  was observed two times it means that

                                          [tex]50^{th},51^{th} \ measurement \ is \ 0.903[/tex],

Given that 0.903  was observed four times it means that

                                         [tex]52^{nd},53^{rd},54^{th},55^{th} \ measurement \ is \ 0.904[/tex],

Given that the highest measurement is  0.958 then then the  [tex]56^{th} \to 100^{th} \ measurement \ is \ between \ 0.905 \to 0.958[/tex]

Generally the median is is mathematically represented as

            [tex]Median = \frac{ [\frac{n^{th}}{2}] + [(\frac{n}{2})^{th} + 1 ]}{2}[/tex]

=>        [tex]Median = \frac{ [\frac{100^{th}}{2}] + [(\frac{100}{2})^{th} + 1 ]}{2}[/tex]

=>        [tex]Median = \frac{ [50^{th}] + [51^{th} ]}{2}[/tex]

=>        [tex]Median = \frac{ 0.903 + 0.903}{2}[/tex]

=>        [tex]Median = 0.903[/tex]


Related Questions

At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more Riders each hour and how much more?​

Answers

Answer:

The spinning swings would have 10 more an hour.

Answer:

5

Step-by-step explanation:

35 more

At a local festival, general admission was $3 for students and $5 for adults. 331 people came to the festival and they sold a total of $1431 tickets. How many students came to the festival?

Answers

Answer:112

Step-by-step explanation:

I did it and we doing the same test rn haha. What did you get for the grant one?

which expression is represented by the diagram? O-6-(-4) O -6-4 O -10-4 O -10-(-4)​

Answers

Answer is -10 -4 your welcom

PLZ ANSWER FASTTTTT (70 POINTSSSS)

Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)

THANK YOU!!

Answers

Answer:

$1738.91

Step-by-step explanation:

Given

Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?

Formula for compound interest is:

A = P(1 + r/n)^nt

Substituting values

A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.91

A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?​

Answers

Answer:

272 inches squared

Step-by-step explanation:

272 square inches.

Because (2×8×2) + (2×8×12) + (2×2×12)  = 32 + 192 + 48 = 272

How do i do this problem

Answers

Answer:

no clue

Step-by-step explanation:

Divide the numerator to the denominator 6-737

Estimate 65 to the nesrst tenth then locate 65 on a number line​

Answers

Estimate 65 to the nearest tenth is 70 I can’t identify where 70 is on a number line for you but it is on the right side of the line

So the answer is 70

And look on the right side of the number line

Answer:

70

Step-by-step explanation:

ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70

how can I solve this equation

49x^2 - 14x + 1 <= 0​

Answers

x= 1/7 or x= 7^-1

(adding for limit)

Step-by-step explanation:

(7x)^2 - 2×7x×1 +1^2 =0

(7x-1)^2 =0

7x-1=0

7x=1

x= 1\7

Pleas help I give brainliest ! Jejsjsjsjssjsjs

Answers

The chosen answer is correct. Only the 8n is raised to the 4th power, not the number 2, so the 8n is multiplied four times

-2•f(-6) - 7•g(-7)
Can someone please help me

Answers

Answer:

Your answer is: 12f + 49g

Simplify each term.

Step-by-step explanation:

Hope this helped : )

What is the absolute value of these respective values?
18 and -91

Answers

Answer:

|18| and |91|

Step-by-step explanation:

absolute values means that you just take away any negative signs basically

NEED HELP ASAP PLEASE
Classify the quadrilateral.

Answers

kite..................

A green grocer has 180 mangoes to sell. She has to arrange them in piles of 9, 10 or 12mangoes.
In which ways would she arrange the mangoes without any remaining?​

Answers

Answer:

in piles of 9,10 &12

Step-by-step explanation:

this is because if you divide 180 by each number there is no remainder hence the green grocer can arrange in any way.

It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

The conditions for mangoes to be arranged are that the piles should have either 9, 10 or 12 mangoes and reminders are not allowed. This means you need to fit all the mangoes and no mangoes can be left.

Based on the conditions and the total number of mangoes (180 mangoes), here are the possibilities that you can determine using division:

9 mangoes piles: 180/ 9 = 20 piles (9 x 20 = 180 with no remainders)

10 mangoes piles: 180/10 = 18 piles (10 x 18 = 180 with no remainders)

12 mangoes piles: 180/12 = 15 piles (12 x 15 = 180 with no remainders)

Hence, It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.

Learn more about division in

brainly.com/question/369266

#SPJ2

HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"
Solve the equation by completing the square.
x^2 + 10x= -81

Answers

Answer:

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)

Answer these below
a) 3 ⋅ 1/3 =
b) 10 ⋅ 1/10 =
c) 19⋅ 1/19 =

Answers

Answer:

a) 3/3=1

b) 10/10=1

c) 19/19=1

Step-by-step explanation:

yes

Answer:

a) 1

b) 1

c) 1

Step-by-step explanation:

3 x 1/3 =

First we should understand that 3 in fraction form is 3/1.

(3 divided by 1 is three)

So we can rewrite this as;

3/1 x 1/3 =

Now just multiply across

3/1 x 1/3 = 3/3 = 1

Repeating this same logic we'll come across the following answers

10 x 1/10 = 10/10 = 1

19 x 1/19 = 19/19 = 1

Hope this helps

4. There are 37 students in the class.
Each student sold 41 boxes of nuts
About how many were sold?
(A) 1000
(B
1600
(C) 2000
DI 2400​

Answers

Answer:

B)1600

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

41 × 37 = 1517

Approximate 1517

Evquivilent Ratio for 23:37

Answers

Answer:

46:74

Step-by-step explanation:

Please help and please pick between a b c or d

Answers

The answer is A because the x^2 would be 4. 4x4=16

Suppose that y varies directly with x, and y=3 when x=15

Find y when x=10

Answers

Answer:

yaa , when X=15, y = 3;

here the value of X is five times the value of y

so when X= 10

then. y =X/5 = 10/5= 2

so the value of y will be 2

hope you like the answer

The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.​

Answers

Answer:

Step-by-step explanation:

The question is incomoplete. Here is the complete question.

The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km

T(d)=10d + 20

T(5)=10(5) + 20

T(5)=  50+ 20

T(5) = 70

Hence the temperature is 70 when d = 5km

when d = 20km

T(20)=10(20) + 20

T(20)=  200+ 20

T(20) = 220

Hence the temperature is 220 when d = 20km

when T = 100km

T(100)=10(100) + 20

T(100)=  1000+ 20

T(100) = 1020

Hence the temperature is 1020 when d = 100km

The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.

The complete question requires that we find the temperature at 5km, 20km and 100km.

The temperature function is; T(d)=10d + 20

For 5km;

T(5)=10(5) + 20

T(5) = 70°C

For 20km;

T(20) = 10(20) + 20

T(20) = 220°C

For 100km;

T(100)=10(100) + 20

T(100) = 1020°C

Read more;

https://brainly.com/question/15308045

Simplify the following problem.
(-8+61) +(6+61)

Answers

Answer: -8+61 = 53 and 6+61 = 67

Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?

Answers

Given parameters:

Number of hours worked by Peter = 6.5hrs

Unknown:

Number of hours Joseph can work more than Peter =?

This problem is straight forward, the statement "his friend Joseph can work 1[tex]\frac{2}{3}[/tex]

is the solution to the problem.

Joseph can work 1[tex]\frac{2}{3}[/tex] more than Peter.

Overall, Joseph can work;

                  6.5hrs + 1[tex]\frac{2}{3}[/tex]hr   = 8.2hrs

Choose the symbol that will create a true sentence when m = 20. 100 – 2m ___ 3m

Answers

Answer: it’s =

i just got the test results

Which inequality best represents the domain of the part shown

Answers

Answer:

there is no question upload it

Step-by-step explanation:

Answer:

so guess what I need some points so that's why I'm committed

Four aces in a row, then three red face cards in a row, then a red card.

Answers

Answer:

whats the question

Step-by-step explanation:

?

How do you do this question?

Answers

Answer:

dy/dx = (2t + 3t²) / (2t)

Step-by-step explanation:

y = t² + t³

dy/dt = 2t + 3t²

x = 5 +t²

dx/dt = 2t

dy/dx = (dy/dt) / (dx/dt)

dy/dx = (2t + 3t²) / (2t)

What is the equation of a line that is perpendicular to this line and goes through the
given point?
y = 3x + 2 (3,-4)

Answers

Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

Help Asap
Phone company 1 offers a plan that costs 35.99 and includes unlimited texting, phone company 2 offers a plan that costs 19.99 and charges 0.25 per text
For what number of texts does the 2nd phone company plan cost more than the 1st phone company

Write and solve an inequality that models this situation. define your variables.

Answers

Answer:

at 65 texts , co 2 costs more

19.99 + .25x > 35.99

x= number of texts

Step-by-step explanation:

19.99 + .25x = 35.99

x= number of texts

.25x= 35.99-19.99

.25x=16

x=16÷.25

x=64

Three times a number decreased by 5 equals 10. Write the equation and find the number.

Answers

Answer:

3x - 5 = 10

Step-by-step explanation:

21-28 please geometry

Answers

9514 1404 393

Answer:

  21–24 and 28 are correctly marked

  25: NEI; 26: ASA or LA; 27: SSS

Step-by-step explanation:

25: At least one side is required for showing congruence. In figure 25, only angles are shown congruent, so there is not enough information.

__

26: Two angles and the side between them are marked congruent. These triangles can be declared congruent by ASA. Considering they are right triangles, one could also invoke LA as the appropriate theorem.

__

27: The unmarked sides of the two outside triangles can be shown to be congruent by virtue of the fact they are opposite congruent angles in the middle triangle. Hence all three sides can be shown congruent for those outside triangles, and the SSS postulate can be invoked.

Other Questions
Solve for x. bx-10=8 Which statement does NOT describe a method kings and queens of northern Europe used to gain power?Choose all answers that are correct.They bribed their rivals with land.They married royalty from other powerful lands.They executed their rivals by cutting off their heads.They challenged their rivals in Olympic competitions.They threatened their rivals with war. Susan earned $220 babysitting last week.On Monday she earned $30 and spent $5.On Tuesday she earned $35 and spent $25.On Wednesday she earned $60 and spent $40.On Thursday she earned $30 and spent $15.On Friday she earned $65 and spent $25.Note: Money earned is (+) and money spent is (-)What is the absolute value of the difference between the money she made on Tuesday and the money she spent on Friday?Group of answer choices60251035answer for free brainly As you learn virtually, there are going to be challenges you will need to overcome. Your challenges may include motivation, time management, stress, organizing work, understanding lesson materials, or technology issues. It will be important to know who can help you with each type of problem and what resources you could use. Below: List 3 areas where you may need the help of others as you learn virtually. Brainstorm who can help you and what resources/websites/tools you could use for each challenge. An astronaut has a mass of 80kg how much mass does he weigh in Mars Which excerpts from "Two kinds" show a connection between conflict and culture? Select two options."Three days after watching The Ed Sullivan Show, my mother told me what my schedule would be for pianolessons and piano practice.""My mother believed you could be anything you wanted to be in America.""Why don't you like me the way I am? I'm not a genius! I can't play the piano. And even if I could, I wouldn't go onTV if you paid me a million dollars!' I cried.""My mother slapped me. 'Who ask you be genius?' she shouted. 'Only ask you be your best. For you sake. Youthink I want you to be genius? Hnnh! What for! Who ask you!""The instructor of the beauty training school had to lop off these soggy clumps to make my hair even again." What development was a result of early humans living in clans?trade routesmarriage customsorganized religionsgovernment system 5) The phase of matter where particles at extremely high temperatures become ionized adapted from The Cave of Goldby Everett McNeil I was up at dawn and found everybody up and awaiting eagerly the moment when there would be sufficient light in the canyon to make the climbing of the Big Tree and the entrance into Crooked Arm Gulch safe. At last Mr. Conroyal declared that the great moment had come. "But," and he glanced around the group of eager faces, "we need one man here to stand guard. Who is willing to stay behind?" For a moment, no one appeared willing to make this sacrifice. Then, with a smile on his face, Frank Holt offered. "Reckon I'll stay," he said. "I'm not as young as I once was, and crawling along that rock is dangerous to legs as old as mine." We set off to climb Big Tree. You may be sure that there were no laggards among us. When we reached the gulch, Ham said, "Now, the first thing to do is to get down to the bottom." "That looks easy! Right this way!" Thune began excitedly clambering down the rocks. Soon, we all stood at the bottom of Crooked Arm Gulch. We excitedly looked around for the entrance to the Cave of Gold, looking in vain. In front of us the wall of the gulch had been hollowed out into a great overhanging arch, seventy-five or more feet in height and some fifteen feet deep. Could this be the miner's Cave of Gold? In a minute more, we all were searching for the hidden entrance to the cave on the back wall of the arch. Thune stopped in front of a large flat rock that had fallen so that it stood nearly on edge, leaning against the back wall of the arch. "Come, give me a hand, Bud," he said to me, "and let's see what is behind this rock." In a moment, we were tugging at the huge slab of rock and, at last, with a mighty effort, we pulled it away from the wall, revealing a black opening in the solid rock. "Bravo!" I yelled. "Found!" shouted Thune, and both of us made a dive for the hole, but Ham stopped us. Ham thrust his body into the opening and began cautiously working his way forward. In about five minutes, Ham came backing hurriedly out. "Who's got the candles?" he cried excitedly. "There's a cave, but we must have lights." Ham caught up one of the candles and, quickly lighting it, crawled into the hole again, holding the candle out in front of him. Thune followed. "The rest of us had better wait outside until we hear from Ham," Mr. Conroyal said, staring anxiously into the hole. For perhaps ten minutes we waited, although to the uneasy and excited watchers outside it seemed more like an hour, because not a sound came from the hole. Then, suddenly, the excited voice of Thune was heard, booming out through the hole. "It's the cave, the Cave of Gold!" he cried exultantly, his voice trembling with excitement. "Come in, all of you. There is room for all. I will hold my candle so that you can see." In five minutes, we were staring wonderingly around us. The bottom of the cave was level and composed of a very coarse gravel, mixed with little rounded chunks of a yellowish metal that glowed in the light of the candles like thousands of dull yellow coals of fire. Ham knelt down. In a voice hardly above a whisper, he said, "It is gold!" At long last, we had found the old miner's lost cave of gold.How would this story be different from Ham's point of view? A. There would be more details about what is inside the rock's opening. B. There would be more details about how Thune helped him reach the cave. C. There would be more details about the people waiting outside the cave. PLEEAASSSEE HELPlord of the flies bookwhy does joger throw stomes around henry but never at him What effect do online library catalogues have on physical libraries? They make libraries easier to use by allowing students to search for titles and confirm they're available before going to the library building. They damage libraries by competing with them and being more accessible for everyday people. They improve library stock by making it easier for library staff to confirm what books they have available quickly. They undermine libraries' ability to function properly by taking away many of the services they usually offer. Which side of triangle XYZ is the longest. x=62, y=55, and z=63 what is this called? when words or sounds used by someone who stutters to get started speaking when blocked or when anticipating a block 4.64 10^2 in standard form Giving brainliest!1. Use Newtons Laws to explain why an object in space that has no motion has to be shoved to move in the first place.2. Use Newtons Laws to explain why a bowling ball will slow down and stop when rolled on a flat surface, like a street.3. Use Newtons Laws to explain why, when a 100Kg astronaut throws a 9Kg bowling ball forward in space, she moves backward but slower. Pleaseeee helppppp!!!! Please help me!What role did Confucianism play in help play in maintaining order? What country is located at 15 South, 60 West? Which of the following climate types has large temperature changes between the summer and winter months?A.tropicalB.continentalC.moderateD.polar what is 0.4repeating as a fraction?