Question

write the formula to calculate mean using step deviation method and explain the terms

Answer 1

Mean formula: $\overline{x}=a+c\times\frac{\Sigma fd'}{\Sigma f}$

Explanation:

• The definition of mean is the sum of the total values or observations divided by the number of total values or observations.
• Mean is represented by $\overline{x}$.
• In step deviation method, first we will assume a mean and apply the formula.
• We can apply this formula only when the class intervals are equal in size.
• The formula to calculate mean using step deviation method is

        $\overline{x}=a+c\times\frac{\Sigma fd'}{\Sigma f}$

Where,  $\overline{x}$ is the mean

             $a$ is the assumed mean

             $c$ is the common factor or common size of the class interval

             $f$ is the frequency of the class interval

             $d'$ is equal to $\frac{x-a}{c}$

Answer 2

Answer:

Mean formula: \overline{x}=a+c\times\frac{\Sigma fd'}{\Sigma f}

x

=a+c×

Σf

Σfd

′

Explanation:

The definition of mean is the sum of the total values or observations divided by the number of total values or observations.

Mean is represented by \overline{x}

x

.

In step deviation method, first we will assume a mean and apply the formula.

We can apply this formula only when the class intervals are equal in size.

The formula to calculate mean using step deviation method is

\overline{x}=a+c\times\frac{\Sigma fd'}{\Sigma f}

x

=a+c×

Σf

Σfd

′

Where, \overline{x}

x

is the mean

aa is the assumed mean

cc is the common factor or common size of the class interval

ff is the frequency of the class interval

d'd

′

is equal to \frac{x-a}{c}

c

x−a

Step-by-step explanation:

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