Question

Choose the formula used for arithmetic mean of grouped data by Assumed mean method is

• A. $\overline{x}=A-\frac{\sum fd}{\sum f}$
• B. $\overline{x}=A+\frac{\sum fd}{\sum f}$
• C. $\overline{x}=A\times \frac{\sum fd}{\sum f}$
• D. $\overline{x}=A/\frac{\sum fd}{\sum f}$

Answer 1

The correct option is B $\overline{x}=A+\frac{\sum fd}{\sum f}$

The formula used for arithmetic mean of grouped data by shortcut method is $\overline{x}=A+\frac{\sum fd}{\sum f}$
$A=$ Assumed mean of the given data
$\sum f=$ Summation of the frequencies given in the grouped data
$\sum fd=$ Summation of the frequencies and deviation of a given mean data
$d=$ deviation of a mean data
$\overline{x}=$ arithmetic mean