(10, 12, 12, 13, 13)
The mean is the average of the set of numbers. To find it you have to add up all of the numbers in the set and divide by however many numbers there are in the set. For example, if you had the set: 1, 2, 3, then you would add them up to get 6. Since there are 3 numbers you would divide by 3 to get 2. The range is the highest number in the set minus the lowest number in the set. Example: of you have the set: 1, 2, 3, 4, 5, 6, 7, 8, then the range would be 8-1, or 7.
The mean is 5. The median is 5. There are two modes = 2 and 7. The range is 7.
The range is the spread of data - the largest number minus the smallest. The mean, mode and median are types of average. The mean is the sum of the numbers divided by the number of numbers (e.g. the mean of 1, 1, 3, 5 and 8) is 3.6). The mode is the number that appears most often (1 for the previous example). The median is the 'middle number'. To work it out, place the numbers in order from lowest to highest. If the number of numbers is odd, the median is the number in the middle (3 for the given example). If the number of numbers is even, the median is the mean of the two middle numbers (e.g. for 1, 1, 3 and 5, the middle numbers are 1 and 3 so the median is 2). The mean and median often are similar but the mode is often greatly different to the two other averages.
From the number set 1, 2, 3, 4, I can tell that the range is 3, The mean is 2.5, the median is 2.5, yet there is absolutely no mode.
mean= 2, mode= 1 and 3, median= 3, and range= 2
The numbers 3, 5, and 7 together have a range of 4 and a mean of 5.
{4,6,8}
{1.5, 3, 4.5}
To find four numbers with a range of 6, a mean of 4, and a median of 3, we can start by setting up an equation for the mean. The mean is the sum of all numbers divided by the total number of values. So, 4 = (a + b + c + d) / 4, where a, b, c, and d are the numbers. Since the median is 3, the two middle numbers must be 3 and 3. The range is the difference between the maximum and minimum values, so the numbers could be 0, 3, 3, and 6.
2
-2, 0, 1, 3, 3.
Add all the numbers together,then divid by the amount of numbers there are.Ex:5+2+4+1=12 12/4=3
(10, 12, 12, 13, 13)
13.67mean = (12 + 13 + 17)/3= 41/3= 13.67
As there are two numbers, the range is the difference between themAs there are 2 numbers the mean is exactly in the middle of them.Thus half the range is less than the mean and half the range is greater than the mean.Thus the two numbers are 10 ± (4/2) = 10 ± 2 = 8 and 12.Algebraically, this can be seen:Let the two numbers be x and y with y > xThen:their range is y - x = 4; andtheir mean is (x + y) / 2 = 10{2} can be rearrange to give x + y = 10 × 2 → y + x = 20adding {3} to {1} yields: (y + y) + (-x + x) = 20 + 4 → 2y = 24 → y = 12subtracting {1} from {3} yields (y - y) + (x - -x) = 20 - 4 → 2x = 16 → x = 8→ the two numbers are 8 and 12.
Add them all together, then divide by the number of the amount of numbers. Say you wanted the mean of 2, 3, and 4. You would add 2, 3, and 4 then divide by 3, because there are 3 numbers.
Well, isn't that just a happy little math problem! To find three numbers that fit these criteria, we can start by placing the median number in the middle, which is 3. Since the mean is also 3, the sum of all three numbers must be 9. By considering the range of 3, we can choose numbers like 2, 3, and 4. This way, we have a mean of 3, a median of 3, and a range of 3. Just like painting, math can be a beautiful and creative process!