Waiting time investigation

On average, how long do customers wait in your school canteen queue before they have completed their purchases? In this activity you will be investigating this question and evaluating the results.

Equipment required

∙A watch that measures time in minutes and seconds

∙Pen and paper for recording results

∙A Casio fx­82AU PLUS calculator

What you have to do

∙In groups of 3 assign each person one of the roles of timer, recorder or customer selector.

∙Arrange for different groups to measure customer­waiting times at the beginning, middle and end of buying times.

∙To make sure your results are valid it is important to choose a random sample of customers to time. The ‘customer selector’ will use the calculator’s random number generator to choose customers. Set the calculator to Line10 and fix the display to show 2 decimal places. When you press SHIFT .pthe calculator will show a decimal number. If the random number is less than 0.50 select the next customer that joins the line to time. Each time you press panother random number will be displayed.

∙The ‘timer’ measures the time from when the selected customer joins the queue until they move away from the counter.

∙Record the time for at least 10 randomly selected customers.

Calculating the mean (average) time

∙Set the calculator to statistics by pressing MODE then 2(for stats) then 1(for 1­ VAR).

∙Use the xbutton to enter the waiting times in minutes and seconds. e.g. enter 2 minutes and 35 seconds by pressing 2x35x and the calculator will display the amount automatically as 2.5833 minutes. After you have entered all the times press C. Then press SHIFT 1(stats) 4(Var). The screen options show that pressing 2will give the mean. Press 2then pto find the mean of the times. The calculator will show the time as a decimal. Press SHIFT x to show the time in minutes and seconds.

Evaluating your results

∙Compare the results from different groups. Are they the same? If they are different suggest a reason for the difference.

∙Use the information to determine whether customers have to wait too long. If the times are too long, can you suggest a way to shorten the time?

Who is interested in your results?

Write a report of your investigation and your findings. Give the report to someone who can implement any suggestions you can make.

© Sue Thomson and Shriro Australia PTY Limited. This page may be photocopied for classroom use.

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Casio FX-82AU PLUS manual Waiting time investigation
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FX-82AU PLUS specifications

The Casio FX-82AU PLUS is a powerful scientific calculator designed specifically for students and professionals alike who require advanced mathematical functions and features. Renowned for its reliability and user-friendly interface, this calculator has become a staple in classrooms and workplaces around the globe.

One of the standout features of the Casio FX-82AU PLUS is its extensive range of functions. The calculator supports over 250 functions, making it capable of handling a variety of tasks in mathematics, physics, and engineering. These functions include everything from basic arithmetic operations to more complex calculations such as trigonometry, statistics, and calculus. This versatility makes it an ideal choice for high school students, university undergraduates, and professionals.

The FX-82AU PLUS boasts a natural textbook display, which allows users to view expressions and results in a format similar to how they appear in textbooks. This feature enhances understanding and reduces errors, making it easier for users to verify their calculations. The calculator also incorporates a two-line display, allowing users to see both the input and result simultaneously, fostering a seamless calculation experience.

Additionally, the Casio FX-82AU PLUS is equipped with a quick-function key for calculations, which streamlines the process of obtaining results. This feature, combined with its intuitive layout, enables users to operate the calculator efficiently, whether they are performing statistical analysis or solving complex equations.

Another impressive characteristic of the FX-82AU PLUS is its durability and long battery life. Designed with longevity in mind, it features robust construction that is well-suited for daily use, ensuring that it can withstand the rigors of classroom and fieldwork. The calculator is powered by a solar rechargeable battery combined with a backup battery, meaning users can rely on it in various lighting conditions, minimizing downtime during critical operations.

In terms of design, the Casio FX-82AU PLUS maintains a compact and lightweight profile, making it portable and convenient for students and professionals who are always on the go. Its ergonomic layout ensures comfort during prolonged use, allowing users to navigate through functions without unnecessary strain.

In summary, the Casio FX-82AU PLUS is more than just a calculator; it is a comprehensive tool that enhances mathematical learning and professional efficiency. Its wide range of functions, natural textbook display, and durable design set it apart as a preferred choice in the scientific calculator category, making it an essential tool for anyone engaged in mathematics or related fields.
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