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Math 142:Exploratory Data Analysis Question Paper
Math 142:Exploratory Data Analysis
Course:Bachelor Of Science In Mathematics
Institution: Chuka University question papers
Exam Year:2016
CHUKA UNIVERSITY UNIVERSITY EXAMINATIONS FIRST YEAR EXAMINATION FOR THE AWARD OF DEGREE OF BACHELOR OF SCIENCE (MATHEMATICS) MATH 142:EXPLORATORY DATA ANALYSIS STREAMS :BSC MATHEMATICS DAY/DATE:TUESDAY 20/12/2016 11.30A.M-1.30P.M TIME :2 HOURS INSTRUCTIONS:Answer question ONE and any other TWO questions 1.(a)Define the following I) Statistic and parameter. {2 marks } II) Exploratory data analysis. {2 marks} III) Confirmatory data analysis. {2 marks} (b) Explain the theme behind exploratory data analysis {6marks} (c)The table below shows results for some statistical test.The data are class marks on a statistic examination, and computer literacy examination. Percentage scored on statistic exam [statistic=0.113,d.f=105,s.g=0.035] Percentage scored on computer literacy examination[statistic=1.13,d.f=105,s.g=0.25] I.Explain how this table is obtained in SPSS {3 marks} II.What was the objective of the test. {3 marks} III.Determine the sample size and interpret this result at ~=0.05. {5 marks} (d)Discuss the following. {4 marks} I.Parametric test. II.Non-parametric tests. (e) Highlight the advantages of using box plots {2 marks} QUESTION TWO. (a)Water samples from 35 randomly selected swimming pools were tested for acidity.The data in pH is recorded below. 6.4 6.6 6.2 7.2 6.2 8.1 7.0 7.0 5.9 5.7 7.0 7.4 6.5 6.8 7.0 7.0 6.0 6.3 5.6 6.3 5.8 5.9 7.2 7.3 7.7 6.8 5.2 5.2 6.4 6.3 6.2 7.5 6.7 6.4 7.8. I.Compute arithmetic mean, geometric mean and harmonic mean.Verify the relationship between these measures {5 marks} II.Compute:Coefficient of skewness,coefficient of moment skewness, Pearson's first test of skewness, Pearson's second moment of skewness, quartiles coefficient of skewness {10 marks} (b)Explain the importance of testing variance for homogeneity.How is it done in SPSS? {5 marks} QUESTION THREE. (a) I.Discuss the necessary transformation techniques adopted for skewed data {6 marks} II.Expain how transformation of data can be done in SPSS {3 marks} (b) Highlight the steps followed in the straight line methodology for confirmatory data analysis.How can exploratory data analysis be incorporated. {6 marks} (c)Discuss the steps involved when designing a questionnaire {5 marks} QUESTION FOUR. (a)Explain the different types of data giving examples {5 marks} (b)Highlight the major windows in SPSS explaining their basic components in data analysis. (c)For the data below. 58 72 64 65 67 92 55 51 69 73 64 59 65 55 75 56 80 60 84 68 74 67 55 68 74 43 67 71 72 66 62 63 83 64 51 63 49 78 65 75. I. Construct stem and leaf diagram {4 marks} II. Construct frequency distribution table {3 marks} III.Plot a frequency histogram and frequency polygon {2 marks} IV.Comment on how this data is distributed {1 mark}
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