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3 years ago

What are the minimum, first quartile, median, third quartile, and maximum of the data set?

Mathematics

2 answers:

azamat3 years ago

4 0

Answer:

Minimum = 4

First quartile = 6.5

Median = 13.5

Third quartile = 19

Maximum = 20

Step-by-step explanation:

1. Order the data set from the smallest to the largest number:

4 4 9 9 18 18 20 20

2. Find the minimum:

The minimum of the data set is the smallest number

Minimum = 4

3. Find the maximum:

The maximum of the data set is the largest number

Maximum = 20

4. Find the median:

As the data set has an even number of data, the median is the average between 9 and 18, that are the two data in the middle:

Median = $\frac{9+18}{2}$

Median = 13.5

5. Find the first quartile:

The median divide the data set between two groups:

4 4 9 9 Median=13.5 18 18 20 20

The first quartile is the average of the two data in the middle of the first group:

4 4 9 9

First quartile = $\frac{4+9}{2}$

First quartile = 6.5

6. Find the third quartile:

The third quartile is the average of the two data in the middel of the second group:

18 18 20 20

Third quartile = $\frac{18+20}{2}$

Third quartile = 19

Liula [17]3 years ago

3 0

Minimum 4
first quartile 9
median 9 & 18
third quartile 18
maximum 20

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AlladinOne [14]

Answer:go0gle

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Step-by-step explanation:

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2 years ago

Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th

melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

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Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

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3 years ago

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Se tiene que elaborar un cartel de forma triangular, uno de los lados debe medir 30 cm y el otro

Marianna [84]

La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:

más de 12 cm y menos de 48 cm

De acuerdo con el teorema de la desigualdad del triángulo que establece que;

La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.

Dado que :

a = 30 cm; b = 18 cm; c =?

Basado en el teorema de la desigualdad del triángulo;

c debe ser <(a + b)
c <(30 + 18); c <48 cm
También c> (a - b)
c> (30 - 18); c> 12 cm

Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.

Más información: brainly.com/question/18345497?referrer=searchResults

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2 years ago

explain how proving two triangles congruent can help prove parts of the triangle congruent will do branliest

AleksAgata [21]

How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.

SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.

ASA where the S (side) is common to both the two given angles.

SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.

In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.

If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.

You can also use the two sides making up the right angle but that is a special case of SAS.

Answer

There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.

Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.

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3 years ago