## Olympic Mean Scores

 Difficulty: Rating: GCSE Marks:

GCSE Text:
The results from an Olympic snowboard event are shown below.  Whilst two of the scores are missing, we have been given the mean average score for run 1, and we know that run 3’s mean score was 3.75 marks less than run 2’s mean score.

a) Calculate the missing scores

b) Which of the athletes achieved the most consistent scores across their 3 runs?

c) If gold was given to the athlete with the highest scores in any of their 3 runs, who won the gold medal for this event?

Suggestions:
This is a challenging questions designed to consolidate learning on calculating mean averages. Questions like this which require students to work backwards from a mean average are increasingly common on the Higher GCSE paper.  Students often take 5-6 minutes to answer this question in full, but partial marks will be awarded even if some calculations prove too challenging.

Teachers could extend the learning by considering:

• Compare the data from the two Canadian athletes. What conclusions can you draw from their performance data?