The values of 60, 62, and 84 were common to both samples. The three values are identified as outliers with respect to the age-group 20 years to 30 years because they are either 1.5 times the interquartile range (IQR) greater than the upper quartile or 1.5 times the IQR less than the lower quartile. Using the same method for identifying outliers, which of the three values are identified as outliers for the age-group 40 years to 50 years

Answers

Answer 1

Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

Age group: 40 to 50

[tex]Min = 60[/tex]           [tex]Q_1 = 70[/tex]           [tex]Median= 73[/tex]

[tex]Q_3 = 76[/tex]              [tex]Max = 85[/tex]

Conditions for outlier

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]Value < Q_1 - 1.5 * IQR[/tex]

See attachment for complete question

Required

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Where:

[tex]Q_3 = 76[/tex] and [tex]Q_1 = 70[/tex]

So:

[tex]IQR = 76 - 70[/tex]

[tex]IQR = 6[/tex]

Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)

Testing 60

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]60 > 76 + 1.5 * 6[/tex]

[tex]60 > 76 + 9[/tex]

[tex]60 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]60 < 70 - 1.5 * 6[/tex]

[tex]60 < 70 - 9[/tex]

[tex]60 < 61[/tex] --- True

Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years

Testing 62

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]62> 76 + 1.5 * 6[/tex]

[tex]62 > 76 + 9[/tex]

[tex]62 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]62 < 70 - 1.5 * 6[/tex]

[tex]62 < 70 - 9[/tex]

[tex]62 < 61[/tex] --- False

Because both conditions are false, then 62 is  not an outlier of group 40 - 50 years

Testing 84

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]84> 76 + 1.5 * 6[/tex]

[tex]84 > 76 + 9[/tex]

[tex]84 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]84 < 70 - 1.5 * 6[/tex]

[tex]84 < 70 - 9[/tex]

[tex]84 < 61[/tex] --- False

Because both conditions are false, then 84 is  not an outlier of group 40 - 50 years

The Values Of 60, 62, And 84 Were Common To Both Samples. The Three Values Are Identified As Outliers

Related Questions

5th grade math. correct answer will be marked brainliest

Answers

Answer:

2 over 15 I think. I might be wrong. I rarely deal with fractions anymore.

a cone has a height of 35 and a radius of 19

Answers

Answer:

Step-by-step explanation:

The radius should be 17.5 if the height is 35. And also what is the question?

Answer:

Base area = 1,134.115

Lateral surface = 2,377.142

Slant height = 39.825

Surface area = 3,511.257

Volume = 13,231.341

Step-by-step explanation:

Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.
(a)
Calculate the total savings from the first store, including the savings on the next purchase.
$
(b)
Calculate the total savings from the second store

Answers

Answer:

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Total saving from Second Store = $ 5

Step-by-step explanation:

Given - Jason can buy a bag of dog food for $25 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

To find - (a)  Calculate the total savings from the first store, including the savings on the next purchase.  

              (b) Calculate the total savings from the second store.

Proof -

Given that,

Total cashback Jason get from First Store = 25×6% = 25×0.06 = $ 1.5

So,

Total saving from First Store = $ 1.5 + $ 5 = $ 6.5

Now,

Total cashback Jason get from Second Store = 25×20% = 25×0.20 = $ 5

So,

Total saving from Second Store = $ 5


The formula of calculating the gradient of a line is

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i​

Answers

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Can someone help me with 1 2 and 3 please

Answers

Answer:

1. vertical angles

2. 90°, complementary

3. 180°, supplementary

Answer:

1) Vertical angles

2) 90°, complementary

3) 180°, supplementary

Step-by-step explanation:

1) Intersecting lines form vertical angles.

According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.

2) ∠AQV is 30°, and ∠VQT is 60°.

30° + 60° = 90°. The sum of these angles is 90°.

And, complementary angles are two angles with measures that sum up to 90°.

3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.

∠CQB is 30°.

And, 150° + 30° = 180°.

Supplementary angles are two angles with measures that sum up to 180°.

Find the critical value t for the confidence level c= 0.98 and sample size n=7.
Click the icon to view the t-distribution table.
=(Round to the nearest thousandth as needed.)

Answers

Answer:

The critical value is T = 3.143.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.143.

The critical value is T = 3.143.

Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue. If there are 3 silver rocks, how many space rocks does Kenzie have?a

Answers

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

Ídek I wish I can help you sorry

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?

Answers

Answer:

The final balance is $5,389.

The total compound interest is $389.

Step-by-step explanation:

State the name of the property illustrated. 5 + [7+(4)] = (5+7) + (4)

A. Communtative property of addition
B. Identity property of addiction
C. Associative property of addition

Answers

The answer is C. Associative property of addition

In a class of 50 students, 20 play hockey and 35 play football . 10 students play both hockey and football.​

Answers

You are missing the question

At the gym, Diana always spends more minutes running than lifting weights.

PART A: Which equations describe the relationship between th number of minutes Diana runs, r, and the number of minutes she lifts weights, w. Select all that apply.

1. 12 + w = r
2. r = w - 12
3. w = 12 + r
4. r - 12 = w
5. r + w = 12

Answers

Answer:

2,3,5

Step-by-step explanation:

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.

Since Diana always spends more minutes running than lifting weights. Hence:

r = w + 12

The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r

Find out more on equation at: https://brainly.com/question/2972832

Find the total surface area. Round to the nearest hundredth if necessary.

Answers

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

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Manny goes bowling.

- He has $25.00 to spend.

- He spends $4.25 to rent shoes.

- He spends $2.50 for each game he bowls.

Which inequality can Manny use to determine x, the greatest number of games he can bowl?

A. 2.5+4.25x≥25

B.4.25+2.5x≥25

C. 2.5+4.25x≤25

D. 4.25+2.5x≤25

Answers

Answer:

D

Step-by-step explanation:

D is the answer because spend satisfied value not more than 25

Plz help! Urgent!

Use the information in the table and choose all true statements.

Answers

Answer:

Pretty sure it's the first 3 options.

Step-by-step explanation:

Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!

China and USA have highest/lowest density. You can tell by looking at the chart.

Indias density is about 360 people/km^2

Divide India's population by the Area

=  360.22

And the last option, according to me, is wrong.

Hope it helps !! And if it doesnt, again, pls let me know :)

Ricky is testing soil for a contaminant at a building site,
He'll take action to stop construction if there's strong
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million (ppm) of the contaminant. He plans on using soil
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site. His hypotheses are H, :p < 400 ppm and
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Which situation below would result in the lowest
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Answers

The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15

What is a type II error?

It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.

From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.

Learn more about type II error on:

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Answer:

Step-by-step explanation:

The flu started spreading in a school. The first week after winter break, 5 students came to school sick. After each week the number of
sick students increased by 60%. Assuming the model continued for the first several weeks, what is the growth factor that would
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A.) 1.40

B.) 1.60

C.) 5.60

D.) 1.06

Answers

I think the answers is 5.60

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Answers

Answer:

[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]

exponential 2^2/2^-3​

Answers

Answer:

32

Step-by-step explanation:

2 ^(2- -3)

= 2^5

Answer:

32

Step-by-step explanation:

[tex] \dfrac{2^2}{2^{-3}} = 2^{2 - (-3)} = 2^{2 + 3} = 2^5 = 32 [/tex]​

Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%

Answers

Answer:

C

Step-by-step explanation:

different size wedges would be the most visibly different

c is the answer hope this helps

Choose 3 values that would make this inequality true. 28 + x > 42 *

Answers

Answer:

15, 16, 17

Step-by-step explanation:

28+ x > 42

⇒ x > 42-28

⇒ x > 14

With that said, the three values would be 15, 16, 17

if ax-cd=a wat is x .......

Answers

Answer:

Option A:

[tex] \frac{a + cd}{a} [/tex]

Step-by-step explanation:

ax - cd = a

=> ax = a + cd

[tex] = > x = \frac{a + cd}{a} [/tex]

Hence,

Option A is the answer.

Answer:

A. [tex]\frac{a+cd}{a}[/tex]

Step-by-step explanation:

ax-cd=a

Add cd to both sides:

ax=a+cd

Divide both sides by a:

x=[tex]\frac{a+cd}{a}[/tex]

What’s the circumference?
Use 3.14 for pi

Extra large pizza: 20in diameter

Large pizza: 16in diameter

Medium pizza: 12in diameter

Small pizza: 10in diameter

If you help me with all of them I’ll give BRAINLIEST!!!

Answers

Answer:

all the stuff written there are answers if I'm wrong tell me I'll try it out again have a good day.

Are the following linear, quadratic, or exponential?

Answers

1. exponential

2. quadratic

3. linear

4. exponential

Answer:

exponential

Quadratic

linear

exponential

What is the slope of the line perpendicular to 2x-3y=8

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

What is the measure m=?

Answers

Answer:

What is the file?

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

4 1/10

Step-by-step explanation:

4.1

= 4 + 1/10

= 4 1/10

Hope you understand!

Are these triangles congruent ?

Answers

Answer:no

Step-by-step explanation:

Nope, the corresponding angles are different degrees

The vertices of ABC are A(-2,4), B (-2,2), and C (-5,2). If ABC is reflected across the line y=1 to produce the image A”B”C find the coordinates of the vertex B’

Answers

The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.


Four equal sized boxes contain a
maximum of 80 books. How many
books will fit in 10 boxes?​

Answers

If four equal-sized boxes contain a maximum of 80 books, then, on average, each box contains 80/4 = 20 books.

If one box contains 20 books, then 10 boxes should fit 10 • 20 = 200 books.
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