5. The age, in years, of the trees in "LB Wood" are shown in the table below. 20 - 30 - 40 - 50 - 60 - 70 - 80 - Age Num

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5 The Age In Years Of The Trees In Lb Wood Are Shown In The Table Below 20 30 40 50 60 70 80 Age Num 1 (62.47 KiB) Viewed 84 times

5. The age, in years, of the trees in "LB Wood" are shown in the table below. 20 - 30 - 40 - 50 - 60 - 70 - 80 - Age Number of Trees 10 30 62 96 59 13 0 (a) Find an estimate for: (i) the mean, (ii) the standard deviation. of the ages of the trees. [6 marks] (b) Using linear interpolation, find estimates for: (1) the median, (ii) the lower quartile, Give your answers to 3 significant figures. [3 marks) (c) Given that the upper quartile is 64.8 (3sf), find the interquartile range. [1 mark] It is known that the youngest tree is 21 and the oldest is 78. In "JJC Wood" the lower quartile, median and upper quartile are 22, 30 and 33 respectively. The minimum age is 10 and the maximum age is 39. (d) On the same diagram, draw two box plots, one to represent the ages of the trees at "LB Wood" and the second to represent the ages of the trees at "JJC Wood". Graph paper should be used to answer this question. [4 marks) (e) Using the two box plots, compare and contrast the ages of the trees at "LB Wood" and "JCC Wood". [4 marks]