Example :
Find the Mean, Median, Mode and Range of the following data set.
3, 8, 12, 15, 12, 5, 11, 8, 12, 4, 9.
Solution :
Mean: is the average of the given data.
To find the mean add up all the numbers and divide the answer by how many numbers you have.
Mean = sum of the given numbers/total number
= ( 3 + 8 + 12 + 15 + 12 + 5 + 11 + 8 + 12 + 4 + 9)/11 = 9
Mean = 9
Median: The Median is the number which is in the exact middle of the data set.
To find the median we first arrange the data in the ascending order. The middle number is the median.
If there are two numbers in the middle, the median is the average of the two numbers.
After arranging the data in the ascending order we get
3, 4, 5, 8, 8, 9, 11, 12, 12, 12, 15.
The middle number is 9.
Median = 9
Mode: The Mode is the number that appears the most often in the data set.
3, 8, 12, 15, 12, 5, 11, 8, 12, 4, 9.
In the data set, 8 occurs twice but the observation 12 occurs thrice.
Mode = 12
Range:
This is the difference between the largest and the smallest number in a set.
To find the range, simply subtract the smallest number from the largest number in the set.
Range = 15  3 = 12
Directions: Answer the following questions. Also write at least five examples of your own. For each data set find the Mean, Median, Mode and Range.
