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1 year ago

A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?

Mathematics

1 answer:

timurjin [86]1 year ago

3 0

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by IQR=Q₃-Q₁ (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation …(1)

minimum=1

Q₁ =3 , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

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You are biking at a speed of 18 miles per hour. You are 3 miles behind your friend who is biking at a speed of

labwork [276]

Answer:

12t -3 = 18t

Step-by-step explanation:

Let

d = your friends distance in miles

t = time in hrs

Your equation:

d - 3 = 18t (1)

Because you are 3 miles behind your friend

Your Friend's equation:

d = 12t (2)

To find the amount of time t it takes for you to catch up with your friend,

Substitute (2) into (1)

d - 3 = 18t

12t - 3 = 18t

Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t

Solving the equation

12t - 3 = 18t

Collect like terms

12t - 18t = 3

-6t = 3

t = 3/-6

= -0.5

t = 1/2 hour

Time can not be negative, therefore it will take 1/2 an hour to catch up with your friend

3 0

3 years ago

What is the length of line PS

stiks02 [169]

$PQ^2 = PR \times PS$

$(4x + 4)^2 = (3x + 3)(3x + 3 + 21)$

$16x^2 + 32x + 16= (3x + 3)(3x + 24)$

$16x^2 + 32x + 16= 9x^2 + 81x + 72$

$7x^2 - 49x- 56 = 0$

$7(x^2 - 7x - 8)= 0$

$(x - 8)(x + 1) = 0$

$x - 8 = 0~~~or~~~x + 1 = 0$

$x = 8~~~or~~~x = -1$

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48

4 0

4 years ago

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Eduardwww [97]

Answer:

The answer would be C,

Yes the graph passes the vertical line test

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3 years ago

A line passes through the two given points. Is it vertical, horizontal, or neither?

Leviafan [203]

<u>Answer:</u>

A line passes through the two given points (5,2), (5,-2). The line is vertical line

<u>Solution:</u>

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m $=\frac{y_{2}-y_{1}}{x_{2}-x_{2}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }$