Mean/Average, Median,
Mode and Range
By
Abdul Ghaffar
Mean/Average
Average/Mean = Sum of Values/Number of Values
Average/Mean = (x1+x2+x3+…+xn)/n
Example Find the Average of 10, 20, 30 and 40
25 is Average
Median
the median is also a type of average, which is used to find the centre
value.
Odd Number of Observations Even Number of Observations
Or
2, 4, 6, 8, 10
6 is Median
where n is the number of observations
Or
2, 4, 6, 8, 10, 12
6+8/2 = 14/2
7 is Median
Mode
Mode refers to the value that is repeatedly occurring in a given
set
Example : Find the mode of the given data set: 3, 3, 6, 9, 15,
15, 15, 27, 27, 37, 48.
Solution:
In the following list of numbers,
3, 3, 6, 9, 15, 15, 15, 27, 27, 37, 48
15 is the mode since it is appearing more number of times in
the set compared to other numbers.
Range
The range is calculated by subtracting the lowest value from the highest value.
Range Formula
R = H – L
•R = range
•H = highest value
•L = lowest value
Consider following given dataset 2,2,4,4, 4, 6,7,7,8, 8, 8, 9 ,9, 9, 9, 9. You
are required to calculate the Range for this sample.
Solution:
•Maximum value = 9
•Minimum value = 2
Range = 9 – 2
Range = 7
Thank you

Mean/Average, Median, Mode and Range from ungrounded data .pptx

  • 1.
    Mean/Average, Median, Mode andRange By Abdul Ghaffar
  • 2.
    Mean/Average Average/Mean = Sumof Values/Number of Values Average/Mean = (x1+x2+x3+…+xn)/n Example Find the Average of 10, 20, 30 and 40 25 is Average
  • 3.
    Median the median isalso a type of average, which is used to find the centre value. Odd Number of Observations Even Number of Observations Or 2, 4, 6, 8, 10 6 is Median where n is the number of observations Or 2, 4, 6, 8, 10, 12 6+8/2 = 14/2 7 is Median
  • 4.
    Mode Mode refers tothe value that is repeatedly occurring in a given set Example : Find the mode of the given data set: 3, 3, 6, 9, 15, 15, 15, 27, 27, 37, 48. Solution: In the following list of numbers, 3, 3, 6, 9, 15, 15, 15, 27, 27, 37, 48 15 is the mode since it is appearing more number of times in the set compared to other numbers.
  • 5.
    Range The range iscalculated by subtracting the lowest value from the highest value. Range Formula R = H – L •R = range •H = highest value •L = lowest value Consider following given dataset 2,2,4,4, 4, 6,7,7,8, 8, 8, 9 ,9, 9, 9, 9. You are required to calculate the Range for this sample. Solution: •Maximum value = 9 •Minimum value = 2 Range = 9 – 2 Range = 7
  • 6.