A random sample of 50 employees working for a large...

A random sample of 50 employees working for a large international bank in Hong Kong was interviewed to establish whether there was a link between the jobs of employees in the bank and where they normally ate at lunchtime- either in the canteen or at their desks. The results of this research showed that $75 \%$ of staff in clerical roles normally ate in the office canteen and $54 \%$ of managers normally ate lunch at their desks. Compile a cross table and bar chart to display this information.

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Key Concepts

Random Sampling

Random sampling is a technique used to select a subset of individuals from a larger population such that every individual has an equal chance of being chosen. This method helps to ensure that the sample accurately represents the overall population, reducing bias and enhancing the credibility of statistical inferences.

Categorical Data

Categorical data consists of variables that can be divided into distinct groups or categories, which are typically non-numeric in nature. Analysis of categorical data often involves counting the occurrences in each category and comparing proportions, making tools like contingency tables and bar charts especially useful.

Bar Chart

A bar chart is a graphical representation that uses bars to illustrate the frequency or percentage of data points in different categories. It is a useful tool for comparing different groups at a glance and effectively communicates relationships and differences within categorical data.

Contingency Table

A contingency table, also known as a cross table, is used to display the frequency distribution of two or more categorical variables. It organizes data into rows and columns to show how the variables interact or relate to one another, making it easier to observe patterns and differences between groups.

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