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skad [1K]
3 years ago
13

Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
<h3>Answer:  D) 76; increases</h3>

========================================================

Explanation:

The main group or cluster of values spans from 32 to 42 (inclusive).

Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.

Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.

--------------

Let's consider the set

A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}

where I've sorted the values and I replaced 76 with 46.

Computing the mean of set A gets us

(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately

--------------

Now let's form this set

B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}

which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.

Compute the mean of set B

(32+34+35+36+37+38+38+41+42+42+76)/11 = 41

---------------

Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.

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Delicious77 [7]

Answer:

7

Step-by-step explanation:

We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.

The volume of a cuboid is l * b * h

And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters

The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.

This is 189,000/27000 = 7

5 0
3 years ago
11b-12&lt;-100
ruslelena [56]

Answer:

ok wait which symbol? this (<)?

well it should stay the same since -100 is greater than the 11b-12

LHS=RHS

11b÷11b b must cancell b also do the same on -12. -12÷11 will give u a lesser value compared to -100

prove me wrong

4 0
3 years ago
Read 2 more answers
4. The distance covered by the cook in Triangle A equals _______________ eighteen-inch steps.
laiz [17]
We know that

<span>to convert feet to inches we must multiply by 12

</span>4. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in

the answer asks for the distance in 18 in lengths 
so divide 6480 by 18 -------------> 6480/18=360 

the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320 
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps

6. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in

the answer asks for the distance in 18 in lengths 
so divide 6240 by 18 -------------> 6240/18=346.67------> 347

the answer part N 6) is 347 eighteen-inch steps<span>

</span>
3 0
3 years ago
What is the measure of &lt; DBC
notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

 In diagram ∠D B C + ∠A B D = 90°

                       6 x+5 + 8 x +1 = 90

                       14 x + 6 = 90

                      14 x = 90 -6

                      14 x = 84

                    <em>     x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em>  ∠A B D = 8(6) +1  = 49°</em>

<em>∠D B C + ∠A B D =  41° + 49° = 90°</em>

3 0
3 years ago
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kumpel [21]

Answer:

20%.

Step-by-step explanation:

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