## Wednesday, April 28, 2010

### Chapter 16 : Data Handling Lesson 4

Dear 104s,

Welcome back after your Common Test.

In statistics, we will will often analysis data set based on MEAN, MODE & MEDIAN

Thus, what exactly is mean, mode & median?

Do an online search and input your definition of mean, mode and median in the comment

1. A mean is the total of all the numbers divided by the number of numbers, which is our average.
A mode is all middle number of all the numbers in a row.
A median is the number that is repeated the most number of times.

YOURS TRULY,
JUNHUI XD

2. Mean is average
Median is the middle point
Mode is the most commonly recurring

3. -mean refers to the average of 2 or more numbers

-median refers to the "middle number" eg
Find the Median of: 9, 3, 44, 17, 15 (Odd amount of numbers)
Line up your numbers: 3, 9, 15, 17, 44 (smallest to largest)
The Median is: 15

-mode refers to the number that occurs most frequently in a list of numbers eg
Find the mode of:
9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8,
The Mode is 15 (15 occurs the most at 3 times)

Millie

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5. mean is the average of the numbers, mediam basically means the number in the middle, and mode means the number which occurs most oftenly

6. Search the net for the difference between:

1. mean
2. median
3. mode

mean = add all then divide by quantity of numbers

median = middle number in the list of numbers

mode = number that is repeated the most often

Example:

Find the mean of 13, 18, 13, 14, 13, 16, 14, 21, 13

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

Note: The number might not be in the original list of numbers

Example:

Find the median of 13, 18, 13, 14, 13, 16, 14, 21, 13

Write the list in the order:

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

(9+1)÷2 = 5 (the fifth number)

So the median is the 5th number from the latter list: 14

Example:

Find the mode of 13, 18, 13, 14, 13, 16, 14, 21, 13

Write the list in the order:

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

13 is repeated the most often, so 13 is the mode.

So, if the number given was 13, 18, 13, 14, 13, 16, 14, 21, 13:

mean = 15
median = 14
mode = 13

-Pasakorn (I know it's very long... sorry)

Source: http://www.purplemath.com/modules/meanmode.htm

7. Mean
The average value, calculated by adding all the observations and dividing by the number of observations.

Median
Middle value of a list. If you have numbers 2, 3, 4, 5, 6, 7, and 8, the median is 5. Medians are often used when data are skewed, meaning that the distribution is uneven. In that case, a few very high numbers could, for instance, change the mean, but they would not change the median.

Mode
For lists, the mode is the most common (frequent) value.

Source: http://www.medicine.ox.ac.uk/bandolier/booth/glossary/mean.html

Kimberly

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9. Mean: The average of the numbers. We need to add up and then divided by the numbers of numbers

Example: Mean of the 13, 18, 13, 14, 13, 16, 14, 21, 13
(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15 so the mean of the numbers are 15.

Median: For median, it is also the average. But we need to arrange them in order and then find the middle number among those numbers.
Example: Median of the 13, 18, 13, 14, 13, 16, 14, 21, 13
There are 9 numbers therefore the 5th number is the middle number. 13, 13, 13, 13, 14, 14, 16, 18, 21. Therefore the mean of the number is 14.

Mode: It is also an average. However, we it is to find the most numbers of the numbers you need to find.
Example: Mode of the 13, 18, 13, 14, 13, 16, 14, 21, 13
13 is repeated the most thus 13 is the Mode.

Special thanks to: http://www.purplemath.com/modules/meanmode.htm for helping me...

10. Mean-the term or one of the terms midway between the first and last terms of a sequence of numbers in which each differs from the preceding by a constant quantity.

Median-denoting the middle terms of a series arranged in order of magnitude, or (if there is no middle term) the average of the middle two terms. eg. the median number of 55, 62, 76, 85, 93, is 76.

Mode-the value that occurs most frequently in a set of data.

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12. Mean - average
Median - middle value in the list of numbers
Mode - most common/frequent value that appears in the list

--Hakeem

13. Mean is the average of a group of numbers. Median is the number which is in value, in the middle, you can find this by arranging the numbers in a ascending order and the number in the middle is the median. Mode is the most common number that appears the most among all the numbers.

14. The Mean
Example:

Four tests results: 15, 18, 22, 20
The sum is: 75
Divide 75 by 4: 18.75

The 'Mean' (Average) is 18.75
(Often rounded to 19)

The Median

The Median is the 'middle value' in your list. When the totals of the list are odd, the median is the middle entry in the list after sorting the list into increasing order. When the totals of the list are even, the median is equal to the sum of the two middle (after sorting the list into increasing order) numbers divided by two. Thus, remember to line up your values, the middle number is the median! Be sure to remember the odd and even rule.

Examples:

Find the Median of: 9, 3, 44, 17, 15 (Odd amount of numbers)
Line up your numbers: 3, 9, 15, 17, 44 (smallest to largest)
The Median is: 15 (The number in the middle)

Find the Median of: 8, 3, 44, 17, 12, 6 (Even amount of numbers)
Line up your numbers: 3, 6, 8, 12, 17, 44
Add the 2 middles numbers and divide by 2: 8 12 = 20 ÷ 2 = 10
The Median is 10.

The Mode

The mode in a list of numbers refers to the list of numbers that occur most frequently. A trick to remember this one is to remember that mode starts with the same first two letters that most does. Most frequently - Mode. You'll never forget that one!

Examples:

Find the mode of:
9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8,
Put the numbers is order for ease:
3, 3, 8, 9, 15, 15, 15, 17, 17, 27, 40, 44, 44,
The Mode is 15 (15 occurs the most at 3 times)

*It is important to note that there can be more than one mode and if no number occurs more than once in the set, then there is no mode for that set of numbers.

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16. Continuing from my previous post,

An example of a mean is (9+8+7+6+5+4+3+2+1)/5 =9
Median is the middle number, which is 5.
Mode is the most commonly repeated number.

*Correcting my previous post, the median is the middle number, not the mode.

17. Mean: A mathematical average of two or more numbers.

Median: The middle value of a number of numbers.

Mode: A value that appears the most in a set of data.

18. Mean: The average
Median: The middle value
Mode: The number repeated the most

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21. Mean, median and mode are different kinds of averages.

Mean is the average that we usually use, adding everything together and dividing it according to the quantity of each thing. Example: Class mean in report card. 1,2,3,4,5--1+2+3+4+5=3

Median is the number in the middle of a whole least of numbers. In order to calculate the median, you have the arrange the least in numerical order.
Example: 1,2(is the median),3.

Mode is the number in the list that is found the most often, to find it, just count and look for the numbers that appears the most.
1,2,3,3,4,4,5,5,6,6,6= mode will be number 6

22. Mean: It means the average of a set of numbers
Example: 1,2,3
2 = Mean

Median: It is the middle piece of data when data is arranged in numerical form.
Example:
Data = 1,2,3
2 is the median.

Mode: The value in a set of numbers that occur most often.
Example:
Data= 1,2,2,3
2 is the mode.
Source: http://mathforum.org/library/drmath/view/58326.html

23. mean in statistics is the simple mathematical average of two or more numbers.
– 25 + 56 = 81
81 ÷ 2 = 40.5

median in statistics is the number in the middle of an order of sequence from lowest to highest : 5, 6, 7, 8, 9 – the median here is 7. if the amount of numbers in the sequence is even, then the median is the number between the 2 numbers in nearest to the centre – 1, 3, 5, 7, 9, 11 median here is 6

mode in statistics is the value that occurs most often : if 3 out of 5 children's math scores are 90, the mode is 90.

24. Mean, Median and Mode

Mean is an average of the total of a set of numbers divided by the number of data values. So... Mean=Sum of all data values/Number of data values.

Median is the middle value of a set of data which has been arranged in ascending order.

Mode is the most recurring in the set of data values

25. Mean:It is the average of the sum of several quantities and their number
Median:It is relating to a value or quantity lying at the midpoint of a frequency distribution of observed values or quantities
Mode: a way or manner in which something occurs or is experienced, expressed, or done

26. Mean: The average
Eg. Numbers: 6, 14, 31, 29
The sum is: 80
Divide the number by 4 (as there are 4 numbers) : 80/ 4 = 20
The Mean is 20.

Mode: The number that appears most frequently.
Eg. The list of numbers: 3, 6, 12, 45, 67, 3, 25, 43, 13, 3
Put the numbers in order: 3, 3, 3, 6, 12, 13, 25, 43, 45, 67
The number “3” appears the most frequently.
The Mode is 3.

Median: The middle value in the list of numbers. If the list of numbers are odd, take the number in the middle. If the list of numbers are even, take the 2 numbers in the middle and divide it by 2.
Eg. Odd amount of numbers: 3, 7, 12, 45, 65, 32, 23 (smallest to largest)
Line your numbers: 3, 7, 12, 23, 32, 45, 65
The Median is: 23.
Even amount of numbers: 3, 7, 12, 45, 65, 32
Line your numbers: 3, 7, 12, 32, 45, 65
The Median is 2: 12+32 = 44/ 2= 22
The Median is 22.