3. [7 marks] This question is to be done by hand please do not use R - make stemplots by hand. The earth is interconnected. For example. it appears that El Nio, the periodic warming of the Pacific Ocean west of South America, affects the monsoon rains that are essential for agriculture in lndia. Here are the monsoon rains (in millimeters) for the 23 strong El Nio years between 1871 and 2004: 628, 669, 740, 651, 710, 736, 717, 698, 653, 604, 781, 784, 790, 811, 830, 858, 858, 896, 806, 790, 792, 957, 872 a) To make a stemplot of these rainfall amounts, round the data to the nearest 10, so that stems are hundreds of millimeters and leaves are tens of millimeters. Make two stemplots, With and without splitting the stems. Which plot do you prefer? [2 marks] b) Describe the shape, center, and spread of the distribution. Are there any outliers? [4 marks] c) The average monsoon rainfall for all years from 1871 to 2004 is about 850 millimeters. What effect does El Nino appear to have on monsoon rains? [1 mark] 1. [15 marks] This question is to be done without the use of Statgraphics (although you may use Statgraphics to check your computations). There are 6 school buses that pass by Langara College every morning at 8am. Each of these school buses has the following number of students (i.e. riders): 27, 51, 55, 32, 37. 38. a) Describe, in words, each of the following in the context of the data: individual (i.e. observation), variable and what type of variable is this (categorical or quantitative). [3 marks] it b) Calculate the mean, standard deviation and the five-number summary of these data. Show your work. [6 marks]