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3 years ago

Find the interquartile range using the following data 4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7

Mathematics

1 answer:

katen-ka-za [31]3 years ago

7 0

Answer:

Step-by-step explanation:

Ascending order:

4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7

9 data: split in

4 ,4 , 4 ,4 | 5 | 6 ,7 , 7 ,7

4 ,4 | 4 ,4 | 5 | 6 ,7 | 7 ,7

(7+7)/2-(4+4)/2

=7-4

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Answer:

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3 years ago

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3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

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value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

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3 years ago