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Mean is actually the same thing as average. Add all of the numbers together, then divide by the total amount of numbers. The mean of the numbers "1, 2, 3, 4, and 5" would be 1+2+3+4+5 divided by 5.

Range is the largest number subtract the smallest number. In this example, that would be 5-1 and the range would be 4.

The median is the middle number. Put the numbers in numerical order if they aren't already and then find the middle number, which in this case would be 3.

Mode would be the number that occurs the most. There is no mode in this example.

Hope that helps!

2007-03-08 11:26:04 · answer #1 · answered by K P 2 · 0 0

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

The mean is the usual average, so:

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

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:

13, 13, 13, 13, 14, 14, 16, 18, 21

So the median is 14.

The mode is the number that is repeated more often than any other, so 13 is the mode.

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 appear only once. Then there is no mode.

The largest value 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 mean is the usual average:

(8 + 9 + 10 + 10 + 10 + 11 + 11 + 11 + 12 + 13) ÷ 10 = 105 ÷ 10 = 10.5

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.)


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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.

I hope this helps ;)

2007-03-08 11:47:51 · answer #2 · answered by Kiss 1 · 0 0

Here is a number example:

52 76 45 35 67 89 90 52

Mean: This is the average. To get this, add all the numbers together and then divide by the number of numbers. For example:

1. Add 52+76+45+35+67+89+90+52 = 506
2. Take 506 and divide by 8, as that is the number of items we have: 63.25, rounded to 63.


Median: To get the Median, place the numbers in order from smallest to largest, and take the first number out, and then the last, and so on and so forth until you reach the last number left. For example:

1. 52 76 45 35 67 89 90 52
2. 76 45 35 67 89 90 52
3. 45 35 67 89 90
4. 45 35 67 89
5. 35 67 89
6. 35 67
7. 67

67 is the median.

Range: This is the biggest number through the smallest number. For example:

1. 35-90.

Mode: This is the number that appears most. To find this, put the numbers in numerical order. Any number that appears more than once is the mode. If you have multiple number sets, the number that repeats most is the mode. For example:

1. Put the numbers in numerical order:

35 45 52 52 67 76 89 90

2. Find the number that repeats most. In this case, 52 appears twice.

52 is the mode.

2007-03-08 11:41:23 · answer #3 · answered by peersignal 3 · 0 0

mean: when u add all the #s together and divide by the # of #s u added ex 1+2+ 3+4+5+5+5+8+8=86, 86divided by 9= 9.5
median: thats the # in the middle its like the median in the middle of the road ex: 1 2 3 5 4 8 5 5 8= 1 2 3 4 5 5 5 8 8 = 5 is the # in the middle
range is simply the range ex 1 2 3 4 5 5 5 8 8= 1 to 8
mode (sounds like most) its the 3 u see the most ex 1 2 3 4 5 5 5 8 8= 5

2007-03-08 11:32:53 · answer #4 · answered by LC 1 · 0 0

Mean: the average of numbers. Add up all the #'s and divide by how many #'s you've added.

Median: the middle # in a series of #'s that are placed in order (if there are 2 middle #'s, take the average of those and you'll get the median).

Mode: the most frequently occuring #

Range: the difference between the least and greatest numbers

2007-03-08 11:26:59 · answer #5 · answered by juliEmAnia 4 · 0 0

Okay, I hate math but, I will answer this question. The mean is the average of all the numbers (you average numbers by adding them up and dividing by the quantity of numbers in that set set of numbers). The median is a different form of the average (to do this put all the numbers in order, least to greatest, then find the number in the middle. If there is no exact middle, find the average of the two middle numbers). Range is the amount that is between your lowest and highest numbers (subtract the lowest number from the highest number). Mode is the most occurring number in your set of numbers.

2007-03-08 11:29:24 · answer #6 · answered by Willi D. 1 · 0 0

this is like super easy. i help my friend all the time with this stuf.
mode- the most popular number
median- when u put the numbers in order, cross them out from side to side. then its the number in the middle. if there are 2 then u add them together and divide the sum by 2.
range- the difference between the highest and lowest number
mean- the average of all the numbers.

hope these made sense...especially the median one. it would be better to have a teacher or friend show u how to do the following ,

2007-03-08 11:27:33 · answer #7 · answered by ummm....i dont know! 3 · 0 0

mean is the average - add all the numbers up and divide by how ever many numbers you have

the median is the number in the middle. You must first list your numbers from least to greatest and then cross them off from left to right whichever number is left in the middle is your median

the range is the number that you get from subtracting your smallest number from your largest

and the mode is the number that appears the most often

2007-03-08 11:26:47 · answer #8 · answered by tmitchell912 2 · 0 0

mean- average

median- the middle of the set of data (put the numbers in order and the one in the middle. If there is no middle then find the avergae of the two closest to the middle and that will be your median)

range- the amount of numbers between the highest and lowest numbers in a set of data. (highest number - lowest number = range)

mode- most occuring number (unless there is the same number of all the numbers then there is no mode)

2007-03-08 11:32:31 · answer #9 · answered by Smuckers 4 · 0 0

mean: the average which is where you add up all of the numbers then divide by how many numbers there are.

median: first you put the numbers in order from least to greatest then you find the middle but if there are two in the middle you would find the mean of the two numbers.

mode: The number that is reapeated the most. Like there is the most of it.

range: You would take the lowest number and the largest number and subtract them.

2007-03-08 11:27:42 · answer #10 · answered by goose1624 1 · 0 0

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