Questions Question 1: Sets (10 marks) After an unremarkable year, everyone has decided to undertake some new activities.

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Questions Question 1 Sets 10 Marks After An Unremarkable Year Everyone Has Decided To Undertake Some New Activities 1 (39.43 KiB) Viewed 25 times

Questions Question 1: Sets (10 marks) After an unremarkable year, everyone has decided to undertake some new activities. We are interested in exploring patterns around what students have done since the start of 2022, considering which of these activities they did at least once. The following data is calculated for 500 students: 230 joined a student club • 168 ate at a cafe 199 went to a gym 68 joined a student club and ate at a cafe 140 joined a student club and went to a gym 35 joined a student club, ate at a cafe and went to a gym 99 did not join a student club, eat at a cafe, or go to a gym (a) [2 marks] * A value needed for the Venn diagram is missing. Explain how to formally find it and calculate the missing value. (b) [3 marks] * Draw a Venn diagram with each activity as a set and label each part of the diagram with the correct values. (C) [3 marks] * Provide counts for the following. Show the numerical expression using the values from the Venn diagram you used to find your answer.correct answers without expressions will be awarded 0 marks. i. Did not go to a gym ii. Joined a student club but did not eat at a cafe. Did one only of joined a student club, cat at a cafe or went to a gym. (d) [2 marks] * Using each club as a set, represent the following using set operators (u, n,c or'). Did not go to a gym nor eat at a cafe. ii. Joined a student club and ate at a cafe but did not go to a gym. i.