How to Estimate the Mean of a Data Set

The video tutorial explains how to estimate the mean time students spent doing sports using a frequency table. It covers calculating midpoints, multiplying them by frequencies, summing the products, and dividing by the total frequency to find the mean. The tutorial emphasizes the importance of accuracy in calculations and rounding the final answer to one decimal place. It also outlines the marking scheme for the problem.

What is the first step in estimating the mean time spent on sports using a frequency table?

• Add up all the frequencies.

• Multiply the frequencies by the total time.

• Find the midpoints of the time ranges.

• Calculate the total frequency.

How do you calculate the product for each row in the frequency table?

• Divide the frequency by the midpoint.

• Multiply the midpoint by the frequency.

• Multiply the frequency by the total time.

• Add the frequency to the midpoint.

What is the total sum of the products of midpoints and frequencies in this problem?

• 63

• 85

• 280

• 495

What is the total frequency calculated from the table?

• 40

• 63

• 85

• 495

What is the final step in calculating the mean time spent on sports?

• Subtract the total frequency from the total sum of products.

• Add all the midpoints.

• Divide the total sum of products by the total frequency.

• Multiply the total frequency by the total time.

Why is it important to keep all decimal places until the final answer?

• To make the calculation easier.

• To avoid using a calculator.

• To simplify the process.

• To ensure accuracy before rounding.

How many marks are allocated for correctly calculating the mean to one decimal place?

• One mark

• Two marks

• Three marks

• Four marks