Construct and use parallel box plots, including identifying possible outliers, to compare datasets in terms of median, spread (range and IQR) and outliers to interpret and communicate the differences observed in the context of the data.  outliers (identifying): Q1 − 1.5 × IQR ≤ 𝑥 ≤ Q3 + 1.5 × IQR where Q1 is lower quartile and Q3 is upper quartile

A fitness centre recorded the number of visits per week for members in two age groups. The data for the younger group (ages 18–30) is: 2, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9, 10. The data for the older group (ages 50+) is: 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 12. (a) For the younger group, calculate the median, lower quartile and upper quartile. (1 mark) (b) For the younger group, calculate the interquartile range (IQR) and use the outlier formula to determine whether 10 visits per week is an outlier. (1 mark) (c) Using your results, identify which value in the older group (if any) meets the definition of an outlier using the same method. (1 mark)

A dataset has a lower quartile (Q₁) of 24, an upper quartile (Q₃) of 48, and includes a value of 82. Which statement correctly identifies whether 82 is an outlier?