Evaluate the arithmetic mean, median, and mode for the...

Evaluate the arithmetic mean, median, and mode for the following distribution of 'number of telephone calls received per one-minute interval': $$ \begin{array}{|l|l|r|r|r|r|r|r|r|r|} \hline \text { No. of Calls } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text { Frequency } & 5 & 22 & 31 & 43 & 51 & 40 & 35 & 15 & 3 \\ \hline \end{array} $$

Evaluate the arithmetic mean, median, and mode for the following distribution of 'number of telephone calls received per one-minute interval':
$$
\begin{array}{|l|l|r|r|r|r|r|r|r|r|}
\hline \text { No. of Calls } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline \text { Frequency } & 5 & 22 & 31 & 43 & 51 & 40 & 35 & 15 & 3 \\
\hline
\end{array}
$$

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Key Concepts

Frequency Distribution

A frequency distribution is a summary of how often different values occur in a data set. It presents data in a tabular or graphical format and is used to organize and understand the distribution of data points, aiding in the computation of measures such as the mean, median, and mode.

Mode

The mode is the value that appears most frequently in a data set. In a frequency distribution, it is the observation with the highest frequency, offering insight into the most common or typical value in the data.

Arithmetic Mean

The arithmetic mean is a measure of central tendency that is computed by dividing the sum of all observations by the number of observations. In the context of frequency distributions, it involves multiplying each value by its corresponding frequency, summing these products, and then dividing by the total number of observations.

Median

The median is the middle value in a data set when the values are arranged in order. For frequency distributions, determining the median may involve identifying the cumulative frequency and finding the point at which half of the observations fall below and half above that value.

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