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Thinking Question ( 8 marks) 1. Create a set of data with 3-7, where Or and O, are the same, Show, prove and explain how

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Thinking Question ( 8 marks) 1. Create a set of data with 3-7, where Or and O, are the same, Show, prove and explain how you know they are the same. 2. Suppose a data set of (5-9) items has a mean of 5, a median of 6, and a mode of 8. Create a data set that fits these statistics, and show that the data set satisfies these central tendencies.2. The table shows the results of a fitness magazine reader survey on the number of days spent exercising per week. Number of Days Spent Exercising Frequency 0 123 a) What data point represents the 40th percentile (2 marks) 799 534 3 490 483 5 377 6 319 215 b) What is the mean, median and mode of this set of data (2 marks) c) What are the quartiles of this set of data? (2 marks) d) What is the interquartile range for this set of data? (1 marks) e) Draw a box and whisker plot for the data (2 marks) () Are there any outliers? (1 mark)

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