Mean, Median, Mode, and Range GCSE Questions

This video tutorial covers the concepts of mean, median, mode, and range, commonly found in GCSE exams. It provides step-by-step instructions on how to calculate each measure using example questions. The tutorial also includes solving problems with missing values by forming and rearranging equations. It concludes with a complex problem-solving example involving multiple unknowns, demonstrating how to use given clues to find solutions.

What is the first step in solving a typical GCSE style question involving mean, median, mode, and range?

• Arrange the numbers in ascending order

• Count the number of data points

• Add all the numbers together

• Identify the highest and lowest values

How do you calculate the range of a set of numbers?

• Subtract the lowest number from the highest number

• Find the most frequently occurring number

• Divide the sum of all numbers by the count

• Add the highest and lowest numbers

Which number is considered the mode in a data set?

• The number that appears most frequently

• The middle number in an ordered list

• The average of all numbers

• The difference between the highest and lowest numbers

If the mean of four numbers is 10, and three numbers are known, how can you find the fourth number?

• Multiply the mean by 4 and subtract the sum of the known numbers

• Add the mean to the sum of the known numbers

• Divide the mean by the number of known numbers

• Subtract the mean from the sum of the known numbers

In a set of five numbers, if the range is 6 and the smallest number is 6, what is the largest number?

• 10

• 9

• 12

• 11

What is the median in a set of five numbers if the third number is 9?

• The average of the first and last numbers

• The number 9

• The sum of all numbers divided by 5

• The difference between the highest and lowest numbers

If two unknown numbers in a set must add up to 18, which of the following pairs is a possible solution?

• 5 and 13

• 8 and 9

• 6 and 12

• 7 and 10