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The most commonly occurring value in a graph of distribution is known as

The most commonly occurring value in a graph of distribution is known as Correct Answer Mode

Explanation

Mean = Mean defines as the sum of the items divided by the number of items, so the value of mean is single.

Medan = The median is the central value of the average of the data. The value of the mean of observation is also single.

Mode = Mode is that point where the frequencies in distribution are maximum. we can also define mode as the most commonly occurring value in a graph of distribution. The value of mode may be more than one.

Standard deviation = Standard deviation is the square root of mean of the square of the deviation

∴ The most commonly occurring value in a graph of distribution is known as mode

Important Points

Standard deviation = σ = √∑(x – x̅)2]/n

x = observations

x̅ = mean

n = number of observation

The arithmetic mean is denotted by X̅ is given by

X̅ = (x1 + x2 + ------ xn)/n

X̅ = ∑xi/n

Where as (x1 + x2 + ------ xn) are observations

n = Number of observation

The median s denotted by M and it is given as

M = (N + 1)/2)th item 

The median of the grouped classes

Median = L + (N/2 - C)/F × H  for group data

L = lower class limit of the median class 

N = total frequency         

C = cumulative frequency of the pre median class 

F = frequency of the median class

H = width of median class

The Mode in a grouped data is given by

Mode = L + × i

i = class interval or class size

f1 = frequency of modal class

fo = frequency of pre modal class

f2 = frequency of success modal class

L = lower limit of modal class

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