formula for mean and explain every term in it
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What are the formulas for mean,median and mode in statistics?
◆The formula of mean is, Mean <x> = ∑x/N
where
∑ represents the summation
x represents scores
N represents number of scores.
◆The formula of median is,
Median = (n+1)/2 th term ; when n is a odd number
Median: [(n/2) th term + {(n/2)+1} th term ] / 2 ; when n is an even number
◆And, Mode is the most frequently occurring value.
◆Let us have an example.
◆Given sequence :18, 21, 7, 4, 18, 14, 9
Total number of numbers in the sequence(N) = 7
◆So, Mean = (18+21+7+4+18+14+9)/7 = 13
◆Now, To calculate the median, first we need to arrange the sequence in the ascending order
Ascending order of the sequence = 4, 7, 9, 14, 18, 18, 21
◆Total number of numbers in the sequence = 7 = odd
◆So, Median = (n+1)/2 th term = (7+1)/2 th term = 4th term i.e 14
◆And here 18 is repeated two times so Mode of the sequence is 18.
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