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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...

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