Question

In a frequency table of interval size h, with usual notations, the relation between the actual mean \(\overline{a}\), assumed mean a and the mean of deviations, \(\overline{d}\) is

• A. \(\overline{x}=h\overline{d}+a\)
• B. \(\overline{x}=\overline{d}+ah\)
• C. \(\overline{x}=\overline{d}+a\)
• D. None

Answer 1

The Correct Option is A

In a frequency table, when we use the assumed mean method, the deviation of each observation from the assumed mean is calculated. The mean of these deviations is denoted by $\overline{d}$. The actual mean $\overline{x}$ can be expressed as: \[ \overline{x} = h\overline{d} + a \] where:
$h$ is the size of the intervals,
$\overline{d}$ is the mean of the deviations,
$a$ is the assumed mean.

The correct answer is option (A): \(\overline{x}=h\overline{d}+a\)