Calculating Averages and Ranges

The video tutorial covers the concept of averages, including mode, median, and mean, and explains how to calculate each with examples. It also introduces the range as a measure of data spread. The tutorial provides tips to remember each average type and demonstrates calculations with both positive and negative numbers.

What is an average in the context of data?

• A value that represents only the numerical data

• A value that represents the largest data point

• A single value that represents a whole set of data

• A value that represents the smallest data point

Which of the following is NOT a type of average?

• Range

• Mean

• Median

• Mode

What is the mode of a data set?

• The average of all numbers

• The middle number when ordered

• The most frequently occurring item

• The difference between the largest and smallest numbers

In a list of subjects, which subject is the mode if 'Maths' and 'History' both appear four times?

• Maths

• There is no mode

• History

• Both Maths and History

What is the median of a data set?

• The difference between the largest and smallest numbers

• The middle number when the data is ordered

• The most frequently occurring number

• The average of all numbers

How do you find the median if there are two middle numbers?

• There is no median

• Find the average of the two middle numbers

• Choose the smaller number

• Choose the larger number

What is the first step in calculating the mean of a data set?

• Divide by the number of data points

• Find the middle number

• Add all the numbers together

• Identify the most frequent number

Which average is described as the 'meanest' to calculate?

• Range

• Mean

• Median

• Mode

In a list of numbers, if two numbers appear most frequently, what is the mode?

• The larger number

• The smaller number

• Both numbers

• There is no mode

What is the range of a data set?

• The most frequently occurring item

• The difference between the largest and smallest numbers

• The middle number when ordered

• The average of all numbers