m 1. Here is a table of the percentage returns on a sample of 40 mutual funds for the year 2010: -4.3 -1.0 0.9 5.5 11.3 14.1 16.4 19.0 -3.6 -0.1 2.6 6.7 11.6 14.3 16.7 19.6 2.5 0.0 4.0 8.9 12.0 14.4 17.0 22.8 2.5 0.2 5.1 8.9 13.2 14.9 18.3 23.2 -1.6 0.9 5.3 10.5 14.0 15.7 18.3 24.7 (a) (1 mark) Give the median return value. (b) (4 marks) Give the quartiles Q1, and Q3, and calculate the IQR. (c) (1 mark) Give the range of this data. (d) (2 marks) Calculate the bin width needed to group the data into 5 bins. (e) (8 marks) Grouping the data into 5 bins, give: (i) the mean X =- Ef,m, N Ef, (m, - X)? (ii) the variance 82 = N-1 , and (iii) the standard deviation (s). BINS Tally f,m; X -m (X -m)? f,(X -m,)2 TOTALS