What is the relation between mode and median of given numbers 2,2,2,3,3,4,5,5,5,5,6,6,8
Answers
Answer:
mode is 5 and median is 5.
SOLUTION
TO DETERMINE
The relation between mode and median of given numbers 2,2,2,3,3,4,5,5,5,5,6,6,8
CONCEPT TO BE IMPLEMENTED
Median :
Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)
Mode :
For a set of observations mode is defined to be the value ( or values) of the sample ( or samples) which will occur with maximum frequency.
EVALUATION
Here the given numbers are
2,2,2,3,3,4,5,5,5,5,6,6,8
Number of observations = 13
Calculation of Mode :
Occurence of 2 = 3 times
Occurence of 3 = 2 times
Occurence of 4 = 1 time
Occurence of 5 = 4 times
Occurence of 6 = 2 times
Occurence of 8 = 1 time
Now mode is the sample ( or samples) which will occur with maximum frequency
Mode = 5
Calculation of Median :
Given numbers are already in increasing order
Number of observations = 13
Median is defined as the middle most value of a set of observations when the samples are arranged in order of magnitudes
Median
= Middle most value of a set of observations
= 7th observation
= 5
∴ Median = 5
From above we can conclude that
Mode = Median = 5
Which is the required relation
FINAL ANSWER
Hence the required relation is
Mode = Median = 5
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