what are the 4 methods of finding mean
aditya160624:
direct mewn method..step deviation method ..assumed mean method..whats the 4th one
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Answered by
37
Methods to find mean for class 10 Is
Direct Method
This is the shortest and simplest method to calculate the arithmetic mean of a grouped data set. The steps are as follows
Prepare a table containing four columns.
In column 1 write the class interval.
In column 2 write the corresponding class marks (midpoint of the class interval) denoted by xi
In column 3 write the corresponding frequencies (fi) of the class intervals
In column 4 write the product of column 2 and column 3 which is denoted by xifi
Calculate Mean by the Formula Mean = ∑xifi / ∑ fi
Assumed Mean Method
Also called the shift of origin method, this method is used when the calculation by the direct method becomes very tedious. Steps to be followed are,
Prepare a table containing five columns
Write the class intervals in column 1
Write the corresponding class marks in column 2, denoted by xi.
Take the central value from amongst the class marks as the Assumed Mean denoted as A.
In column 3 calculate the deviations, i.e. di = xi – A
In column 4 write the frequencies (fi) of the given class intervals
In column 5 find the mean of di using formula Mean of di = ∑xidi / ∑ di
To finally to calculate the Mean, we add the assumed mean to the mean of the di
Step deviation method
This is also called the shift of origin and scale method. Steps to be followed are
Prepare a table containing five columns
Write the class intervals in column 1
Write the corresponding class marks in column 2, denoted by xi.
Take the central value from amongst the class marks as the Assumed Mean denoted as A.
In column 3 calculate the deviations, i.e. di = xi – A
In column 4 calculate the values of ui, ui= di/h, where h is the class width.
In column 5 write the frequencies (fi) of the given class intervals
Calculate the product of Column 4 and column 5, which is fiui
Find the Mean of ui = ∑xiui / ∑ ui
To find the mean we add the assumed mean A to the product of class width (h) with mean of ui
Direct Method
This is the shortest and simplest method to calculate the arithmetic mean of a grouped data set. The steps are as follows
Prepare a table containing four columns.
In column 1 write the class interval.
In column 2 write the corresponding class marks (midpoint of the class interval) denoted by xi
In column 3 write the corresponding frequencies (fi) of the class intervals
In column 4 write the product of column 2 and column 3 which is denoted by xifi
Calculate Mean by the Formula Mean = ∑xifi / ∑ fi
Assumed Mean Method
Also called the shift of origin method, this method is used when the calculation by the direct method becomes very tedious. Steps to be followed are,
Prepare a table containing five columns
Write the class intervals in column 1
Write the corresponding class marks in column 2, denoted by xi.
Take the central value from amongst the class marks as the Assumed Mean denoted as A.
In column 3 calculate the deviations, i.e. di = xi – A
In column 4 write the frequencies (fi) of the given class intervals
In column 5 find the mean of di using formula Mean of di = ∑xidi / ∑ di
To finally to calculate the Mean, we add the assumed mean to the mean of the di
Step deviation method
This is also called the shift of origin and scale method. Steps to be followed are
Prepare a table containing five columns
Write the class intervals in column 1
Write the corresponding class marks in column 2, denoted by xi.
Take the central value from amongst the class marks as the Assumed Mean denoted as A.
In column 3 calculate the deviations, i.e. di = xi – A
In column 4 calculate the values of ui, ui= di/h, where h is the class width.
In column 5 write the frequencies (fi) of the given class intervals
Calculate the product of Column 4 and column 5, which is fiui
Find the Mean of ui = ∑xiui / ∑ ui
To find the mean we add the assumed mean A to the product of class width (h) with mean of ui
Answered by
10
short cut method
step deviation method
direct method
sum of all observations/ no of observations
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