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2 years ago

The data set below has a lower quartile of 13 and an upper quartile of 37.

Mathematics

1 answer:

timama [110]2 years ago

6 0

The correct option regarding the outliers of the data-set is given by:

The greatest value, 78, is the only outlier.

<h3>How to use the quartiles of a data-set to identitfy outliers?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

The interquartile range is the difference of the third quartile with the first quartile.

Measures that are more than 1.5 IQR from Q1 and Q3 are considered outliers.

The IQR for this problem is:

IQR = 37 - 13 = 24.

Hence the bounds for outliers are:

Less than 13 - 1.5 x 24 = -23.

Greater than 37 + 1.5 x 24 = 73,

The options are:

No outliers.

Only 1 is an outlier.

Only 78 is an outlier.

Both 1 and 78 are outliers.

Hence the correct option is that only 78 is an outlier.

More can be learned about outliers of a data-set at brainly.com/question/17083142

#SPJ1

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In parallelogram ABCD, m∠BAC = 40.62°and m∠BCA = 30.96°. What is m∠BAD?

KatRina [158]

The answer is letter a. m∠BAD = 108.42°

The solution is as follows:
If m∠BAC = 40.62° and m∠BCA = 30.96°, then
m∠CBA = 180° - m∠BCA - m∠BAC
m∠CBA = 108.42°

Since m∠BAD = m∠CBA due to the parallelogram's property,
m∠BAD = 108.42°.

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4 years ago

6.) *

labwork [276]

Answer:

the common difference is 5.4 and yes, this is an arithmetic sequence

Step-by-step explanation:

Each new term is derived by adding 5.4 to the previous term:

2.1 + 5.4 = 7.5,

7.5 + 5.4 = 12.9,

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3 years ago

Billy has two tables to seat the 12 people.

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Answer:

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3 years ago

A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the

DochEvi [55]

Answer:

$9802.90

Step-by-step explanation:

$9802.90

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3 years ago

If xy + y² = 6, then the value of dy/dx at x= -1 is

mylen [45]

Hi there!

$\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}$

$\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}$

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx) + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0

4 years ago