Answer: Choice C. mean > median
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Explanation:
Multiply each measure with their corresponding frequency.
- 8*1 = 8
- 10*3 = 30
- 14*2 = 28
Add up those products: 8+30+28 = 66
Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.
mean = 11
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Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.
Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.
Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.
median = 10
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The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.
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We have the following summary
- mean = 11
- median = 10
- mode = 10
With that in mind, let's go through the answer choices.
- We can see that mean < mode is false, since it should be mean > median, so cross choice A off the list.
- mean = median is also false, so choice B is crossed off as well.
- mean > median is true since 11 > 10 is true. Choice C is the answer. Note how this being true directly contradicts choice B, which is another reason to see why choice B is false.
- median > mode is false because 10 > 10 is false. It should be median = mode. Choice D is crossed off the list.
Answer:
The answer is "562.432"
Step-by-step explanation:
Given:

Using formula:


That would happen when the factors have opposite signs.
(4) 64 tiles, (5)
, (6) 
Step-by-step explanation:
Given data: Side length of square tile = 1 ft
(4) Side length of square pool = 8 ft


= 64
Hence 64 tiles needed for the border.
(5) Suppose number of square tiles be N and side of square tub is s ft.
So, N = 

So, the expression is
.
(6) The equivalent expression is
.
Very nice handwriting but the math and English are confusing.
Let's assume we're told

The subscript is important.
I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.


If 11 is the mean, the sum of the points is 9(11)=99.

Answer: 1080