4. The data below shows the median age, in years, of the population in each of the 35 countries in Europe. 33.4, 37.0, 37.1, 37.2, 38.2, 39.3, 39.8, 40.3, 40.5, 40.8, 41.0, 41.1, 41.1, 41.5, 41.5, 41.6, 41.9, 42.5, 42.5, 42.5, 42.6, 42.7, 42.7, 43.0, 43.0, 43.1, 43.3, 43.7, 43.9, 44.0, 44.2, 44.2, 44.9, 45.8, 47.4 (a) Find the values of the median, the lower quartile and the upper quartile for these data. [2] (b) Any value that is more than 1.5 multiplied by the interquartile range from the nearest quartile can be classed as an outlier. Use this definition of an outlier to show that the only outlier is 33.4. [3] Table 4a shows summary statistics for the most recent data for the median age of the population in the 35 countries in Asia. The two countries in Asia with the highest median age are Japan (47.7 years) and Hong Kong (44.8 years). Two of the statistics are missing. n 35 Mean O 1048.3 32942.71 Min 19 Q1 24.5 Median 29.9 Q3 33.1 Max 47.7 Table 4a (c) Use the definition of an outlier as given in part (b) to show that Japan is the only outlier. [3] Fig. 4b shows a box plot illustrating the median ages of the European countries 1.6 18 -20 _22. _24 -26 -28 30 _32 34 36 _38 40 42_ 44_ 46 48 50 Fig. 4b (d) On a copy of Fig. 4b, using the information given in Table 4a, draw a box plot for the median age in the Asian countries. [3]