How to find mean median and mode for ungrouped data?
Answers
Answer:
it's not possible..
firstly you have to make the given data
ascending order..
then the middle no. will be the median.
Answer: Mean, median and mode are called 'Measures of Central Tendency'.
Mean: Average of a given data is called mean.
Median: The middle most value of a given data is called median.
Mode: The most frequently occurring value in a given data is called mode.
What is ungrouped data?
==> Single data is called ungrouped data.
For example- Marks obtained by a student in class X in 5 subjects (out of 80): 60, 70, 55, 80, 65
Question: How to find mean, median and mode for ungrouped data?
Solution:
Finding mean-
Mean= Sum of observations/ Number of observations
In the above case, mean= (60+70+55+80+65)/6= 330/6= 55 marks
Finding median-
Median= Middle most value after arranging in ascending or descending order
In the above case, data after ascending order, 55, 60, 65, 70, 80
Median= (n+1)th term/2 where n= number of observations (n= odd)
Median= (1/2) (n/2)th term+ (n/2 + 1) th term where n= number of observations (n= even)
In the above case, data after ascending order, 55, 60, 65, 70, 80
n= odd (5)
Median= (n+1)th term/2 = (5+1)th term/2= 6th term/2= 3rd term= 65 marks
Finding mode-
Mode= Most frequently occurring value
Here, no value is occurring frequently. So, there's no mode.