Jan is using toothpicks to create patterns as shown below.

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

A cat receives 0.15 milliliter of medicine for every 2.5 pounds that it weighs. Tabby is a cat that weighs 9.75 pounds. How much

lilavasa [31]

Answer: .59 I'm pretty sure

Step-by-step explanation:

6 0

3 years ago

Calculate the size of θ in the given diagram ( see image).<br>O is the center of the circle.

mariarad [96]

Answer:

∅ = 42°

Step-by-step explanation:

90 - 48 = 42° because 48 and 42 are complimentary angles (add up to 90°)

because the radii lines form an isosceles triangle, ∠∅ also = 42°

3 0

2 years ago

Read 2 more answers

Slope intercept form of 12x-y=4

Nata [24]

Hey there! :)

Please keep in mind that slope-intercept form is : y=mx+b ; where m=slope, b=y-intercept

Using this, we can isolate y in our original given equation.

12x - y = 4

Start off by subtracting 12x from both sides.

-y = -12x + 4

Divide both sides by -1.

-y ÷ -1 = (-12x + 4) ÷ -1

Simplify!

y = 12x - 4

Therefore, using the slope-intercept form, we can come to the conclusion that because 12 is located in the "m" slot and "m=slope" then 12 is our slope. In addition, -4 is our y-intercept because it is located on the y position.

Slope = 12

Y-intercept = -4

<em>Hope I helped! :) </em>

8 0

2 years ago

Need help with this asap

Katarina [22]

There is no relationship between the number of hours cycled and the number of hours worked (Option D).

<h3>What is a scatterplot?</h3>

A scatterplot is a graph that is used to show the association between two variables. The relationship between the variables is shown by the use of line of best fit.

From the scatterplot shown, we can conclude that there is no relationship between the number of hours cycled and the number of hours worked (Option D).

Learn more about scatterplot:brainly.com/question/25280625

#SPJ1

7 0

2 years ago