My guess... if you add millionaires and billionaires to any state, your could increase that figure.
Oh...You're denying the facts in the study? I get it...New York(a BLUE STATE) is the highest unionized, regulated and taxed state in the Union and we have the biggest dispairity of rich and poor. How can that be? New York should be an example of the Liberal utopia promised.
My guess... if you add millionaires and billionaires to any state, your could increase that figure.
ONE BILLIONAIRE will change the stats and the math problem....
rhetoric rhetoric....
don't play the heart strings with stats that can be manipulated
Quoted Text
Mean, Median, Mode, and Range
Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses, if the topic comes up at all.
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.
The "range" is just the difference between the largest and smallest values.
Find the mean, median, mode, and range for the following list of values: 13, 18, 13, 14, 13, 16, 14, 21, 13
Note that the mean isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.
The median is the middle value, so I'll have to rewrite the list in order:
13, 13, 13, 13, 14, 14, 16, 18, 21
There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:
The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.
mean: 15 median: 14 mode: 13 range: 8
Note: The formula for the place to find the median is "( [the number of data points] + 1) ÷ 2", but you don't have to use this formula. You can just count in from both ends of the list until you meet in the middle, if you prefer. Either way will work.
Find the mean, median, mode, and range for the following list of values: 1, 2, 4, 7
The mean is the usual average:
(1 + 2 + 4 + 7) ÷ 4 = 14 ÷ 4 = 3.5
The median is the middle number. In this example, the numbers are already listed in numerical order, so I don't have to rewrite the list. But there is no "middle" number, because there are an even number of numbers. In this case, the median is the mean (the usual average) of the middle two values:
(2 + 4) ÷ 2 = 6 ÷ 2 = 3
The mode is the number that is repeated most often, but all the numbers in this list appear only once, so there is no mode.
The largest value in the list is 7, the smallest is 1, and their difference is 6, so the range is 6.
mean: 3.5 median: 3 mode: none range: 6
The list values were whole numbers, but the mean was a decimal value. Getting a decimal value for the mean (or for the median, if you have an even number of data points) is perfectly okay; don't round your answers to try to match the format of the other numbers.
Find the mean, median, mode, and range for the following list of values: 8, 9, 10, 10, 10, 11, 11, 11, 12, 13
The median is the middle value. In a list of ten values, that will be the (10 + 1) ÷ 2 = 5.5th value; that is, I'll need to average the fifth and sixth numbers to find the median:
(10 + 11) ÷ 2 = 21 ÷ 2 = 10.5
The mode is the number repeated most often. This list has two values that are repeated three times.
The largest value is 13 and the smallest is 8, so the range is 13 – 8 = 5.
mean: 10.5 median: 10.5 modes: 10 and 11 range: 5
While unusual, it can happen that two of the averages (the mean and the median, in this case) will have the same value.
Note: Depending on your text or your instructor, the above data set may be viewed as having no mode (rather than two modes), since no single solitary number was repeated more often than any other. I've seen books that go either way; there doesn't seem to be a consensus on the "right" definition of "mode" in the above case. So if you're not certain how you should answer the "mode" part of the above example, ask your instructor before the next test.
About the only hard part of finding the mean, median, and mode is keeping straight which "average" is which. Just remember the following:
mean: regular meaning of "average" median: middle value mode: most often
(In the above, I've used the term "average" rather casually. The technical definition of "average" is the arithmetic mean: adding up the values and then dividing by the number of values. Since you're probably more familiar with the concept of "average" than with "measure of central tendency", I used the more comfortable term.)
A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average? The unknown score is "x". Then the desired average is:
(87 + 95 + 76 + 88 + x) ÷ 5 = 85
Multiplying through by 5 and simplifying, I get: 87 + 95 + 76 + 88 + x = 425 346 + x = 425 x = 79
He needs to get at least a 79 on the last test.
...you are a product of your environment, your environment is a product of your priorities, your priorities are a product of you......
The replacement of morality and conscience with law produces a deadly paradox.
STOP BEING GOOD DEMOCRATS---STOP BEING GOOD REPUBLICANS--START BEING GOOD AMERICANS
REAL Democrats would SOLVE a poverty problem with the correct application of social program and tax incentive to keep businesses locating here in our wonderful county. However -- there are too many Neo-Liberal Democrats who are usurping the good name of the Democratic Party and working in conjunction with the nayboobs to tear DOWN our local economy rather than to build it UP. However, we are currently undergoing a fine and robust Renaissance and I have faith in our leaders to continue it.
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I am as awesome as a man can be, especially when I am passionate about something. ~ Glryinthhighest
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