Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102 Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile Range (IQR) and Standard Deviation (SD)

Answers

Answer 1

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04


Related Questions

Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply

Answers

Do you have an image of the answers?

Answer:

Ummm

Step-by-step explanation:

Are these congruent (PLEASE HELPPP)

Answers

Answer:

all of them are congruent

Step-by-step explanation:

HOPE IT HELPS YOU

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Answers

Answer:

s=65

Step-by-step explanation:

T to S is 180

180-115=65

Evelyn jogs around the park every 4 1/4 minutes. How many laps will she jog in 38 1/4 minutes?
34
43
42 1/2
9

Answers

Answer:

Step-by-step explanation:

38.25 minutes × (1 lap)/(4.25 minutes) = 9 laps

9 laps is the answer

. You got 46 out of 65 questions right on your exam. What's your grade?

Answers

Answer:

about like 8 /10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let u= -9, 4 , v= 8, -5 . find u-v.

a- -1, -1

b- -13, 13

c- -17, 9

d- -4, -4

Answers

Answer:

C. -17, 9

Step-by-step explanation:

u = -9, 4

v = 8, -5

u - v

= (-9, 4) - (8, -5)

= (-9 - 8), (4 - (-5))

= -17, 9

Is (3,5) a solution to the system - x +y = 1 and 2x + 4y = 2?

Answers

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-3+5=1 is equal to two so this is not a soulution and is not correct because 2=1 is not true

2x+4y=2

2(3)+4(5)=2

6+20=2

this is also incorrect because as we all no 26 is a very diffrenent number to two

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

Answers

Check the attachment below, it's self explanatory.

Please help quick! I will give brainliest

Answers

Answer:

1. A

2. B.

3. 2^3 or 8

4. C.

Step-by-step explanation:

use mathaway

#1 and #2 are A I didn’t have time for the last one tho I apologize for that but at least you have 2 outa 3

A poker deck consists of fifty-two cards, representing thirteen denominations (2 through ace) and four suits (diamonds, hearts, clubs, and spades). A five-card hand is called a flush if all five cards are in the same suit but not all five denominations are consecutive. Pictured below is a flush in hearts. Let N be the set of five cards in hearts that are not flushes. How many outcomes are in N

Answers

Answer:

10

Step-by-step explanation:

Let N represent the set of 5 hearts cards that are not flushes

From the image attached below; there are thirteen (13) denominations on deck

i.e.  (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck

Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.

So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A

[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]

Hence, the total no of outcome for N = 10

Can anyone help me with this plsss

Answers

Answer:

C. 2

Step-by-step explanation:

[tex]3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2[/tex]

hope it helps :)

Answer:

C

Step-by-step explanation:

3 1/2 = 7/2

4/7 = 4/7

7/2 x 4/7 = 28/14 or 2

The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which
equation represents how to find the length and the width?

Answers

Answer:

Length is 45cm and Breadth is 33cm

Step-by-step explanation:

Perimeter = 156cm

Let the length be x

Breadth = x-12

Perimter = 2(l+b)

156 = 2(x-12+x)

156 = 2(2x-12)

156 = 4x-24

156+25 = 4x

180 = 4x

180÷4 = x

45 = x

Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm

OUR EQUATIONS

LENGTH = x

BREADTH = x-12

PLZ MARK ME AS BRAINLIEST

Find the value of x.
(will give brainliest to correct answer)
30°
15x

A. 4

B. 2

C. 12

D. 10

Answers

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Which fraction has the same value as 0.3


Answers

3/10


dhjdbdjwndjdjfhdjsjs

4 1/2 x 4 1/2? write in a decimal

Answers

Answer:

4 1/2×4 1/2=9/2×9/2=81/4=20.25

4 1/2×4 1/2=9/2×9/2=81/4=20 1/4 .

anybody know the answer to this

Answers

The answer to this is B

How were some European Jews able to come to Georgia in the 1930s? Check all that apply.

The US government loosened its restrictions on Jewish immigration.

Officials in the Georgia state government sponsored most immigrants.

Jewish immigrants tried to help family members back in Europe escape.

Private organizations helped Jewish children and teenagers find homes.

American citizens legally agreed to be responsible for Jewish immigrants.

Jewish American activists worked to bring immigrants to the United States.

Answers

Answer:

Georgian Jews (Georgian: ქართველი ებრაელები, romanized: kartveli ebraelebi) are a community of Jews who migrated to Georgia during the Babylonian captivity in 6th century BC.[2] It is one of the oldest communities in that land.

Prior to Georgia's annexation by Russia in 1801, the 2,600-year history of the Georgian Jews was marked by an almost total absence of antisemitism and a visible assimilation in the Georgian language and culture.[3] The Georgian Jews were considered ethnically and culturally distinct from neighboring Mountain Jews.[4] They were also traditionally a highly separate group from the Ashkenazi Jews in Georgia, who arrived following the Russian annexation of Georgia.

As a result of a major emigration wave in the 1990s, the vast majority of Georgian Jews now live in Israel, with the world's largest community living in the city of Ashdod.The Georgian Jews traditionally lived separately, not only from the surrounding Georgian people, but also from the Ashkenazi Jews in Tbilisi, who had different practices and language.

The community, which numbered about 80,000 as recently as the 1970s, has largely emigrated to Israel, the United States, the Russian Federation and Belgium (in Antwerp). As of 2004, only about 13,000 Georgian Jews remained in Georgia. According to the 2002 First General National Census of Georgia, there are 3,541 Jewish believers in the country.[5] For example, the Lezgishvili branch of Georgian Jews have families in Israel, Moscow, Baku, Düsseldorf, and Cleveland, Ohio (US). Several hundred Georgian Jewish families live in the New York tri-state area, particularly in New York City and Long Island.

Answer:

C D E F

Step-by-step explanation:

got it wrong and told me the answer

(-7) + b = -12
what is b?

Answers

wiwokensbshdbsbjajs b= -5

Answer:

it would be -5, because when they are the same signs, you keep the sign and add the numbers, so -7 +-5=-12

Step-by-step explanation:

Someone help solve ill gift you nitro :)

Answers

1/3•3.14•. r^2 •h

1/3•3.14•20^2•25

10466.6667

that rounds up to 10,467.

I could be wrong though!

hope this helps! :)

Solve:
-11 2/3 x (-4 1/5)

Answers

Answer: 44 2/15

Step-by-step explanation:

Simplify each expression. Justify each step
4 x 9 x 50 =

Plz fast

Answers

Well, we are asked to simplify and solve this multiplication problem.
So, at first, this looks a little bit tricky but, we can actually break it down and then multiply with easy numbers.
First off, we can multiply 4 by 9 which is 45 however, we still have that major 50 so, to make it easier, we can just change the 50 to a 5 and then add the 0 at the end when we get our answer.

45 * 5
= 225

Lastly, we just need at put and add a zero (0) to our answer so, in conclusion, the answer to this question is: 2250.

Pick the correct compound inequality that represent "All real numbers that
are greater than -6 but less than 6"*
-6 X 36
6 sxs-6
-6 0 -6

Answers

I think it’s b so yea

The correct compound inequality which represents the given statement is -6 < x < 6.

What are Compound Inequalities?

Compound inequalities are inequalities which are formed by combining two simple inequalities.

For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.

Given statement is,

All real numbers that are greater than -6 but less than 6.

Let x represents the numbers satisfying the inequality.

All real numbers greater than -6 can be expressed as x > -6.

All real numbers that are less than 6 can be expressed as x < 6.

These two inequalities has to be combined.

x > -6 and x < 6

-6 < x < 6, which is the compound inequality.

Hence the compound inequality is -6 < x < 6.

Learn more about Compound Inequalities here :

https://brainly.com/question/29004091

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7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

Answers

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers

Answers

Answer:

10, 18, 26

Step-by-step explanation:

Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.

Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.

a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.

The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):

First company (smallest random number) ____

Second company (2nd smallest random number) ____

Third company (3rd smallest random number) _____

Fourth company (4th smallest random number) _____

Fifth company (5th smallest random number)______

0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854

Answers

Last one of the first one try the last one first

Home Prices The median selling price of an existing home in the United States increased continuously over the period 2011–2013 at the rate of 8.5% per year from approximately $166,000 in 2011.27 Write down a formula that predicts the median selling price of an existing home t years after 2011. Use your model to estimate, to the nearest $1,000, the median selling price of an existing home in 2013 and 2015

Answers

Answer:

166,000(1 + 0.085)^t ; $195,000 ; $230,000

Step-by-step explanation:

Given that :

Rate of increase = 8.5% = 0.085 per year

Initial value ; price in 2011 (A) = $166,000

Formula to predict the median price t years after 2011 ;

At a continous rate :

Median price, P:

P = initial price (1 + rate)^t

P = 166,000(1 + 0.085)^t

t = time since 2011 ;

Median price of home in 2013:

t = 2013 - 2011 = 2

P = 166,000(1 + 0.085)^2

P = 166000(1.085)^2

P = 166000(1.177225)

P = 195419.35

P = $195,000 ( nearest $1000)

Median price of home in 2013:

t = 2015 - 2011 = 4

P = 166,000(1 + 0.085)^4

P = 166000(1.085)^4

P = 166000(1.385858700625)

P = 230052.54430375

P = $230,000 ( nearest $1000)

9. A dust mite is about 250 microns long. One micron equals 0.001 millimeter. How long is a
dust mite in millimeters?

Answers

Answer:

0.250

Step-by-step explanation:

0.001x250=0.250

Length of dust mite in millimeters is 0.250

What is measurement?

Measurement is the act of determining size, or quantity.

Given, A dust mite is about 250 microns long

Since one micron equals 0.001 millimeter

So 0.001x250=0.250

Hence length of dust mite in millimeters is 0.250

Learn more about measurement

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HELP ILL GIVE BRAINLESS DUE SOON

Answers

Answer:

f x 3=8

Step-by-step explanation:

Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.

Answers

Answer:

P(S on 2 S on 1) = 0.80000

P(S on 10 S on first 9) = 0.799996

P(S) = 0.8

Step-by-step explanation:

Given :

P(S on 2 S on 1)

= 399, 999/499, 999

= 0.80000

P(S on 10 S on first 9)

= 399, 991/499, 991

= 0.799996

P(S) = 0.8

you walk 1/5 miles to a music store. Then you walk another 2/3 miles to shoe store. How many miles have you walked

Answers

Answer:

1 whole mile

Step-by-step explanation:

the LCD is 15. 5x3=15. what we do to the denominator we do to the top so 1x3=3 now we have 3/15.

now do that with the other fraction

3x5=15

2x5=12

12/15+3/15= 15/15= 1 whole

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