The Table Below Shows the Daily Frequency of Female Customers

Question

Examlex · Accepted Answer

The Answer is For grouped data, mean,

\bar{x}=\frac{\sum_{i=1}^{n} f_{i} x_{i}}{n}

, where

n

is the number of observations, and

f_{l} \mathrm{x}_{j}

is individual frequencies multiplied by the corresponding number of days.

\begin{array}{|l|l|l|}\hline \begin{array}{l}\text { Female } \\text { Customer } \\text { Frequency }\end{array} & & \\hline & & \\hline \text { Days (x) } & \begin{array}{l}\text { Frequency } \(\mathbf{x})\end{array} & \text { Frequency* Days } \\hline 1 & 0 & 0 \\hline 2 & 5 & 10 \\hline 3 & 8 & 24 \\hline 4 & 11 & 44 \\hline 5 & 18 & 90 \\hline \text { Sum } & 42 & 168 \\hline & & \\hline & \text { Mean } & 4 \\hline\end{array}

First we multiply individual frequencies by their corresponding number of day. Then we add the multiplied values to ohtain

\sum_{i=1}^{n} f_{i} x_{i}

.

Here,

\sum_{i=1}^{n} f_{i} x_{i}=168

n

is calculated to be 42 .
Therefore the mean,

\bar{x}=168 / 42=4

.

\bar{x}=4

.

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