subject: Solve Mean Median Mode Range [print this page] Solve Mean, Median, Mode, and Range Solve Mean, Median, Mode, and Range
Mean is the average value of set of numbers. Median of a set of numbers is a middle value of a set of numbers after the arrangement of ascending or descending order. If the total number of elements in a set is even then find the two middle numbers (n and n+1) after the arrangement of the numbers and find the average of two numbers which is the required median. Mode is the number which is repeated frequently in the set of numbers. Range is the difference between the maximum value and minimum value of the data set.
Solve Mean, Median, Mode, and Range Learning Example Problems
Example 1: In a class nine students marks as follows 87, 24, 23, 25, 26, 37, 29, 76, and 87. Solve and find the mean, median, mode and range of data.
Solution:
Arrange the set of numbers in ascending order {23, 24, 25, 26, 29, 37, 76, 87, 87}
Mean:
Mean = (Sum of elements in a set) / (Total number of elements in a set)
Therefore mean of a given set of students mark is 46.
Median:
Median = The middle value of the set of numbers after the arrangement.
{23, 24, 25, 26, 29, 37, 76, 87, 87}
Here 29 is the middle number, therefore median is 29.
Mode:
Mode = The number repeated frequently in the set of numbers.
{23, 24, 25, 26, 29, 37, 76, 87, 87}
Here 87 is repeated twice, therefore 87 is the mode of given set of numbers.
Range:
{23, 24, 25, 26, 29, 37, 76, 87, 87}
Range = Maximum value Minimum value
= 87 23 = 64
Therefore range is 64.
Example 2: In a class ten students weights as follows 31, 21, 49, 57, 49, 55, 60, 70, 77, and 55. Solve and find the mean, median, mode and range of data.
Solution:
Arrange the set of numbers in ascending order {21, 31, 49, 49, 55, 55, 57, 60, 70, 77}
Mean:
Mean = (Sum of elements in a set) / (Total number of elements in a set)
