I need to know how to find the mean,mode,median and range of a set of numbers
The MEAN is the arithmetic average, the average you are probably used
to finding for a set of numbers - add up the numbers and divide by how
many there are
The MEDIAN is the number in the middle. In order to find the median,
you have to put the values in order from lowest to highest, then find
the number that is exactly in the middle
The MODE is the value that occurs most often.
The RANGE is the difference between the lowest and highest values.
one note on the median.
if the number of data numbers are odd then the middle number would be the median
example: 1,2,3,4,5
median is the middle number 3
if the number of data numbers are even then the median would be the average of the middle 2 numbers.
example: 1,2,3,4,5,6
median is average of 3 and 4 since those 2 are the middle #'s
thus (3+4)/2= 3.5
To find the mean, mode, median, and range of a set of numbers, you can follow these steps:
1. Mean:
- Add up all the numbers in the set.
- Divide the sum by the total count of numbers.
2. Mode:
- The mode is the number that appears most frequently in the set.
- If there is more than one number with the same highest frequency, the set is multimodal.
3. Median:
- Arrange the numbers in ascending or descending order.
- If the total count of numbers is odd, the median is the middle number.
- If the total count of numbers is even, the median is the average of the two middle numbers.
4. Range:
- Subtract the smallest number in the set from the largest number.
Let's try an example to illustrate these steps. Consider the set of numbers: 5, 2, 9, 2, 7, 4, 6, 2.
1. Mean:
- Add up all the numbers: 5 + 2 + 9 + 2 + 7 + 4 + 6 + 2 = 37
- Divide the sum by the total count of numbers: 37 ÷ 8 = 4.625
- The mean of this set is 4.625.
2. Mode:
- Count the frequency of each number:
- 2 appears three times,
- 5, 9, 7, 4, and 6 each appear once.
- The mode of this set is 2 (since it appears most frequently).
3. Median:
- Arrange the numbers in ascending order: 2, 2, 2, 4, 5, 6, 7, 9
- As the total count is even, average the two middle numbers: (4 + 5) ÷ 2 = 4.5
- The median of this set is 4.5.
4. Range:
- The smallest number is 2, and the largest number is 9.
- Subtract the smallest number from the largest number: 9 - 2 = 7
- The range of this set is 7.