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1 year ago

What is the five number summary for the data 0,2,2,4,5,5,5,5,7,11

Mathematics

1 answer:

salantis [7]1 year ago

3 0

The five number summary data for the data-set is:

Smallest value: 0.

First quartile: 2.

Median: 5.

Third quartile: 6.

Greatest value: 11.

<h3>What is the five number summary of a data-set?</h3>

The five number summary of a data-set is composed by:

The smallest and the greatest value.

The first quartile, which is the median of the bottom 50%.

The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.

The third quartile, which is the median of the upper 50%.

For this problem, we have that:

The smallest value is of 0.

The greatest value is of 11.

The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:

Me = (5 + 5)/2 = 5.

The first half of the data-set is:

0, 2, 2, 4.

Hence the first quartile is:

Q1 = (2 + 2)/2 = 2.

The second half of the data-set is:

5,5,7,11.

Hence the third quartile is:

Q3 = (5 + 7)/2 = 6.

More can be learned about the five number summary data of a data-set at brainly.com/question/17110151

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Gandhi's nonviolent movement worked because Gandhi wanted to be treated equally like his protesters. Gandhi's nonviolence worked because when he found out about this he requested that he should be sentenced even longer than the protesters.

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Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

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The number of seconds at which the max would occur is given by the point, x, at:

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3 years ago

Read 2 more answers

What are the roots of x in -10x2 + 12x − 9 = 0?

hoa [83]

Answer:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

Step-by-step explanation:

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

You can identify that, in this case:

$a=-10\\b=12\\c=-9$

Now you need to substitute these values into the formula:

$x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}$

$x=\frac{-12\±\sqrt{-216}}{-20}$

Remember that:

$i=\sqrt{-1}$

Therefore,rewriting and simplifying, you get:

$x=\frac{-12\±6i\sqrt{6}}{-20}$

$x=\frac{-6(2\±i\sqrt{6})}{-2(10)}$

$x=\frac{3(2\±i\sqrt{6})}{10}$

Then, you get the following roots:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

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3 years ago

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the sum of three numbers is 15. the second number is double the first. the third number is 5 less than the first. what are the t

tigry1 [53]

Hello from MrBillDoesMath!

Answer:

5, 10, 0

Discussion:

Let "f" be the first number. Then the questions tells us that

f + 2f + (f-5) = 15 =>

f + 2f + f - 5 = 15 => add 5 to both sides

4f = 5+ 15 = 20 => divide both sides by 4

f = 20/4 = 5

The numbers as

f: 5

2f: 10

(f-5): 0

Thank you,

MrB

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Hope this helps!

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