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3 years ago

What is the iqr (inter quartile range) for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71?

Mathematics

2 answers:

Alinara [238K]3 years ago

6 0

Answer:

Step-by-step explanation:

The given data set is:

27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71

Firstly, arrange the given data set in ascending order, we get

4, 5, 6, 27, 27, 41, 48, 54, 64, 71, 78, 79

Now, the first half of the given data set is 4, 5, 6, 27, 27, 41 , thus the middle value is Lower quartile that is:

$Lower quartile=\frac{6+27}{2}=\frac{33}{2}=16.5$

And, the second half of the given data set is 48, 54, 64, 71, 78, 79, thusthe middle value is the upper quartile that is:

$Upper quartile=\frac{64+71}{2}=\frac{135}{2}=67.5$

Now, Interquartile range is given as:

$IQR=Upper Quartile-Lower quartile$

= $67.5-16.5$

= $51.0$

Thus, the Interquartile range is 51.

Anestetic [448]3 years ago

4 0

Answer:

The answer's 51 :)

Step-by-step explanation:

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Which best decribes the meaning of the term theorem

STALIN [3.7K]

Answer:

A theorem is a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

Step-by-step explanation:

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2 years ago

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

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castortr0y [4]

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scoray [572]

To solve this we can make it into an equation, which looks like this

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0 = x - 10
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Now we replace x in whichever equation and we get 20

So, each girl will read 20 books for them to be at the same book.

Hope this helps, remember that Jesus loves you

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2 years ago

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dangina [55]

Answer:

Step-by-step explanation:

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3 years ago