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1 year ago

Find the mean, median, and mode of the data with and without the outlier. 101, 110, 99, 100, 64, 112, 110, 111, 102

Mathematics

1 answer:

svetoff [14.1K]1 year ago

6 0

Answer:

Step-by-step explanation:

First step

Put the numbers in numerical order.

64 99 100 102 110 110 111 112

Median

Median is the middle number. If the number of numbers is even then you take the middle 2 and average them.

This has 8 entries so you take the middle 2 and average them.

102 and 110 are the middle 2. They can be averaged.

(102 + 110)/2 = 212/2

212 / 2 = 106

The median is 106.

Mode

The mode is the entry with the most number that are the same.

110 is given twice. Nothing else is. So the mode is 110

Mean

The mean is the average. You add the eight numbers and divide by 8.

Sum = 64 + 99 + 100 + 102 + 110 + 110 + 111 + 112

Sum = 808

Now divide by 8

Mean = 808/8

Mean = 101

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77julia77 [94]

Solution:

Note that:

Given inequality: 3 < x + 3 < 6

Solving the inequality one by one.

3 < x + 3
=> -3 + 3 < x
=> 0 < x
=> x + 3 < 6
=> x < 6 - 3
=> x < 3

The inequality is 0 < x < 3.

7 0

2 years ago

What's 0.003 is 1/10 of what?

zvonat [6]

0.03 you just times it by ten or if its a decimal take away the 0 infront of it

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3 years ago

a rectangle is transformed according to the rule r0, 90º. the image of the rectangle has vertices located at r'(–4, 4), s'(–4, 1

AleksandrR [38]

Graph images undergo transformations, one of the types of transformations are rotations.
rotation is done when each point of the image rotates 90° around a point in the counterclockwise manner.
when rotation is done, (x,y) -> (-y,x)
therefore when taking points from image to original then the reverse is done ;
(-y,x) --> (x,y)
the coordinates of image point q' is (-3,4)
before rotation then the coordinates are (4,3)
answer is (4,3)

4 0

3 years ago

Read 2 more answers

What is the 72nd term of arithmetic sequence-27,-11,5

otez555 [7]

Answer:

1109

Step-by-step explanation:

you can subtract the terms to see the difference between them

-11-(-27)=16

The sequence is increasing by 16

you can plug that 16 in the formula for d

a_n=a_1+(n-1)d

a_n=a_1+(n-1)16

n represents the term you want to find in this case the 72nd

a sub 1 is the first term of the sequence in this case -27

a_72=-27+(72-1)16

a_72=-27+(71)16

a_72=-27+1136

a_72=1109

7 0

2 years ago

Read 2 more answers

A box has a volume of 546cm3 and a surface area of 422cm2. What are the Length, Width and Height?

Klio2033 [76]

We know that the formula for the volume of a box is:

$V =lwh$

Where:
l = length
w = width
h = height

The formula of the surface area of a box is:
$SA=2(lw+lh+wh)$

Based on the given we know the following:
$546cm^{3} =lwh$

and

$422cm^{2}=2(lw+lh+wh)$

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

$546=6*7*13$

Let:
l = 6cm
w = 7cm
h = 13cm

Now let's try this on the surface area formula:
$422cm^{2}=2(lw+lh+wh)$
$422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))$
$422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})$
$422cm^{2}=2(211cm^{2})$
$422cm^{2}=422cm^{2}$

The answer is then:
l = 6cm
w = 7cm
h = 13cm

Any order would be fine.

4 0

2 years ago