1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina1246 [14]
3 years ago
6

Mathematically verify the outlier(s) in the data set using the 1.5 rule.

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

You might be interested in
Suppose that y varies inversely with x. Write a function that models the inverse function. X= 15 when y= 2
yulyashka [42]
The answer to this question is B: <span>y = 30/x. I hoped I have helped you today!</span>
3 0
3 years ago
HELP PLEASE WILL PICK BRAINLEST IF I ANSWER CORRECTLY!<br> the bubble thats in igonore it!
vampirchik [111]

Answer:

4. (d, the last one)

5. (a, the first one)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The sum of three consecutive multiples of 7 is 777 find these multiples
Rudik [331]

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

4 0
3 years ago
Read 2 more answers
What value of x makes the equation true? 32/48 = x/12 A. 2 B. 4 C. 6 D. 8
Semmy [17]
Hey in melo30's twin .the answer is D.8
5 0
3 years ago
Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rul
Ne4ueva [31]

Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What is the better deal: Babysitting for 8 hours and making $72.00 or babysitting for 6 hours and making $57.00
    12·1 answer
  • What is the answer to this problme
    15·2 answers
  • Determine the area of the composite figure to the nearest whole number.
    5·1 answer
  • Please please please help me with this answer
    10·1 answer
  • Help me please!! I’m in a hurry!! 15pts!!
    15·1 answer
  • -7-2x=7 (x+8) what does X equal ​
    6·1 answer
  • I need help to solve this question pls
    10·1 answer
  • 9+10 <br><br> I need help please
    6·2 answers
  • Solve for x in the hanger below
    9·1 answer
  • Find the surface area of the square pyramid. Enter your answer in the box.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!