how do you work out the median,mean and range in maths?

Answer 1

Mean is the same as average - add all the data and divide by the number of data entries you added eg 3+5+2+6+4=20divided by 5=4 is the mean.

Median is the middle number of a series eg. 1 3 7 12 21 and 7 would be the median.

Range is the difference between the smallest and greatest numbers eg. 34 42 48 56 therefore 56-34=22 isthe range.

Answer 2

These are all pretty common things in Statistics, and all are considered an 'average,' though when most people say average they usually intend the mean.

A Mean, like I said, is the 'average' value of all the data. Add all the numbers to find a total, then divide the total by the number of data. (Sum / Number = Mean)

Example: For the set 2, 3, 10; The total is 15 (2 + 3 + 10 = 15), and there are 3 data points, so the mean is 5. (15 / 3 = 5.)

A Median is the number that occurs in the physical center of the data set when the numbers are arranged in order. If there is an even number of data, which means there is no exact center number, then you take the mean of the two central numbers.

Example: Data set 1, 7, 3, 2, 5. You would first rearrange the numbers into order, as 1, 2, 3, 5, 7. Since there is an odd number of data, you can easily find the center number to be 3.

It won't always be that easy, though. Assume you added a data point of 8 into the set. That would give you, in order, a set of 1, 2, 3, 5, 7, 8. Now, since there is no exact center, you take the mean (See above) of the two numbers closest to the center, 3 and 5. (3 + 5 = 8 and 8 / 2 = 4). So in this case, the median is 4.

Range is the easiest to find, that means you are simply to find the smallest and largest data points in the set, writing them in interval notation as (Minimum, Maximum)

Example: In the set 5, 1, 6, 3: The smallest data point is 1, and the largest is 6, giving you a range of (1, 6)

Conclusive Example:
Data set: 1, 6, 3, 8, 2, 6, 3, 7, 4, 10.
Mean: 5 [(1+6+3+8+2+6+3+7+4+10 = 50, and 50 / 10 = 5)]
Median: 5 [Re-order as 1, 2, 3, 3, 4, 6, 6, 7, 8, 10; (4+6 = 10; 10 / 2 = 5)]
Range: (1, 10) [1 is the minimum, 10 is the maximum.]

Hope it helps!

Answer 3

MEAN
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

MEDIAN
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.

RANGE
The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function. See: Range of a function.

Answer 4

Mean- to find the mean, you take all of the numbers and add them together. Then you take the sum and divide it by the # of data.
Ex. 2+5+4+6= 17
17/4= 4.25
Median- to find the median, you put all of the numbers in order from least to greatest. Then, you cross out one number on each side until you get down to the last # in the middle. That last number is the median. If you have 2 numbers left you take the number in between them
Ex. 12 and 13 are left. 12.5 would be the median
Range- To find the range, all you do is take the largest # and subtract the smallest # from it.
Ex.
6( largest #)
2( smallest #)
6-2=4

4 would be your range

Answer 5

1, 2, 3, 4, 5, 6, 7,

mean 1+2+3+4+5+6+7=28 divided by 7 = 4
mode = the most frequent number
range = 7 - 1 = 6
median = middle one 4

Answer 6

Median: write all the numbers out in order, then find the one in the middle. If there are two in the middle, find the mean of those
Mean: Add up all the numbers, divide by how many numbers there are.
Range: Subtract the smallest number from the biggest

Answer 7

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how do you work out the median,mean and range in maths?

Answer 8

Mean = Average Median = the middle number (when they are arranged from the smallest to the highest value) mode = most common number range = difference between the highest value and smallest value

Answer 9

The mean is the average of a set of numbers.
Add up all the numbers in a given set and then divide by the amount of numbers. E.g 1, 2, 3, 4 added all together makes 10 divide by 4 because there are 4 numbers and this gives you the mean.

Answer 10

mean is sum of all the numbers divided by the amount of numbers given.
median is the number in the middle
range is the difference between the largest and smallest number. :)