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
Andreyy89
2 years ago
7

Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:

Mathematics
1 answer:
tresset_1 [31]2 years ago
6 0

Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

  • 91 83 84 79 91 93 95 97 97 120 101 105 98

Sort the dataset in ascending order

  • 79 83 84 91 91 93 95 97 97 98 101 105 120

<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

Q1 = \frac{N +1}{4}th

So, we have:

Q1 = \frac{13 +1}{4}th

Q1 = \frac{14}{4}th

Q1 = 3.5th

This is the average of the 3rd and the 4th element

Q1 = \frac{1}{2} \times (84 + 91)

Q1 = 87.5

<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

Q3 =  3 \times \frac{N +1}{4}th

So, we have:

Q3 =  3 \times \frac{13 +1}{4}th

Q3 =  3 \times 3.5th

Q3 =  10.5th

This is the average of the 10th and the 11th element.

Q_3 =\frac12 \times (98 + 101)

Q_3 =99.5

<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

IQR = Q_3 -Q_1

IQR = 99.5 - 87.5

IQR = 12

Also, we have:

IQR(1.5) = 12 \times 1.5

IQR(1.5) = 18

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

Lower = Q_1 - IQR(1.5)

Lower = 87.5- 18

Lower = 69.5

Upper = Q_3 + IQR(1.5)

Upper = 99.5 + 18

Upper = 117.5

120 is greater than 117.5.

Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

You might be interested in
SOMEONE, PLEASE HELP
andrew11 [14]

Answer:

2,023

Step-by-step explanation:

P(8) = 25(8)²-24(8)+615

= 1600- 192 +615

= 2,023

6 0
2 years ago
What is the Area of the shaded portion in the square.
riadik2000 [5.3K]

Step-by-step explanation:

Area of the squre is pi -360/2

7 0
3 years ago
A turtle walks 12 feet in one hour. How many inches does the turtle walk in one hour?
blagie [28]
144 inches. 12 feet in one hour
12 inches per feet

12feet x 12 inches per foot= 144 inches
6 0
2 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
Convert the following common fractions to decimals. Round to three decimal places if necessary. 5/6 = A)0.83 B)5.6 C)0.56 D)0.83
Umnica [9.8K]

Answer:

D

Step-by-step explanation:

If we divide 5 by 6 we'll come up with 8.333 repeating. It is necessary that we round to three decimal places since we have an endless amount of digits that can only be represented with 3 digits

7 0
3 years ago
Other questions:
  • 12(x-360)=120 solve for x
    15·2 answers
  • Choose the correct description of the graph of the compound inequality:
    15·2 answers
  • What is a answer that has been rounded calked
    12·1 answer
  • Rt 9+ 10r - 5 - 4r.<br> Help me
    9·1 answer
  • How do you write the decimal 0.7 as a fraction in simplest form
    10·1 answer
  • Differences in linear and quadratic equations
    10·1 answer
  • Given the diagram below what is m d
    12·2 answers
  • Math help algebra or algebra 2<br>1=k+14​
    11·2 answers
  • An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
    13·2 answers
  • URGENT 30 points I need help
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!