🎯Calculation of mean, median and mode (measures of central tendency)🎯
🔹Mean
▪️It is the average of all the values
▪️Most commonly used🌟
Eg :
🔺The Hb values of 6 patients(in gm/dl) are 8, 9, 11, 10, 13, 9. Calculate mean.
▪️Mean = sum of all the values / number of values
= (8 + 9 + 11+ 10 + 13 + 9)/6
= 60/6
= 10gm/dl
🔹Median
▪️Central value after arranging in ascending or descending order
Eg :
🔺Calculate median of marks obtained by first mbbs students in anatomy exam. The marks obtained are 70, 75, 72, 73, 76
▪️To calculate median, arrange in ascending order
70, 72, 73, 75, 76
Median is 73
🔸If even number of values are present, consider the average of central 2 values.🌟
▪️Lets say, one more student with 76 marks
▪️Then,
70, 72, 73, 75, 76, 76
Average of 73 and 75 (central 2 values)
= (73 + 75) / 2
Median = 74
🔹Mode
▪️It is the most frequently occuring value.
Eg :
🔺Birth weight of 5 children delivered today are 2.5, 2.6, 2.4, 2.1 , 2.4 (in kg)
What is the mean, median and mode
▪️Here, 2.4kg is repeated 2 times.
Mode = 2.4kg
▪️Mean = (2.5 + 2.6 + 2.4 + 2.1 + 2.4)/5
= 12/5
= 2.4kg
▪️To calculate median arrange in ascending order
2.1 , 2.4 , 2.4 , 2.5 , 2.6
▪️So median is 3rd value
That is, median = 2.4
🔹Here, mean = median = mode
This type of distribution is called normal distribution or gaussian distribution🌟
It gives bilateral symmetrical, bell shaped curve🌟
🔸Mode can be used for both quantitative and qualitative data🌟
Eg :
Blood groups of 10 patients are A, B, O, O, B, O, A, AB, A, O
Here O is repeated 4 times
So, mode = O
🔸Bimodal distribution
▪️Increased frequency of occurence of an event or a value at two different areas.
▪️Eg : Age of occurence of Hodgkin's lymphoma is centered around young age as well as old age.
🌟 marked points are important