MATH 2300 { Sample Final Exam { Summer 2005 Show all the details leading to the solution of a problem, and explain your answers. Use enough signiflcant decimal digits so that you get a precise answer. All problems are weighted equally. 1. Consider the following data: 11 20 62 61 7 4 5 25 24 32 12 21 2 2 34 31 45 55 56 44 11 11 12 33 35 3 4 14 24 54 (a) Construct a stem-and-leaf diagram of the above data. Using the plot, flnd the median, the quartiles, the interquartile range, and the range of the data. (b) Construct a histogram of the above data. 2. A data set consists of the following observations: ¡2;3;3;¡2;¡4;¡9;9;9;¡2;2: (a) Find the sample standard deviation. (b) Find the sample median, the flrst quartile, and the third quartile. (c) Find the sample range and the sample interquartile range. (d) Construct a boxplot of the above data. 3. Suppose that a student's math score X from next year's Graduate Record Exam can be considered as an observation from a normal population having mean 46...