Hey! im confused on this. ill give more points if you end up being correct :)

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

statuscvo [17]

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.

3 0

3 years ago

Can someone help me please?

Alina [70]

Looking at the graph, trace your finger up from 10 on the x-axis. You will end up somewhere around 17.

Therefore, the approximate height of the tree after 10 years will be 17 feet.

5 0

3 years ago

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Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

4 0

3 years ago

How do if-then statements describe mathematical relationships?

Lelechka [254]

Answer:

Math relationships

Step-by-step explanation:

A mathematical relation is, a relationship between sets of numbers or sets of elements. Often you can see relationships between variables by simply examining a mathematical equation. Many physical relationships in electrostatics, electrodynamics, thermodynamics, etc. are expressed by mathematical equations. hope this helps you :)

6 0

3 years ago

The graph below have the same shape f(x)=x^2 what is the equation of the graph of g(x)

Artist 52 [7]

Answer: OPTION B

Step-by-step explanation:

By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function $f(x)=x^{2}$

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

$f(x-2)=(x-2)^2$

Therefore, the equation of the function g(x) is:

$g(x)=(x-2)^2$

3 0

3 years ago

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