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Statistical Data Analysis(Dbit 220) (Dcis 202) Question Paper

Statistical Data Analysis(Dbit 220) (Dcis 202) 

Course:Computer Science & Business Information

Institution: Kenya Methodist University question papers

Exam Year:2012



TIME : 2 HOURS

SECTION A: Answer Question ONE and TWO others.
Question One (30 Marks)
Distinguish between:
(6 Marks)
Discrete and continuous variables
Population and sample
Primary and Secondary data
Describe the FOUR types of quantitative data.
(6 Marks)

The marks of 15 students of a college in statistics are given below 56, 49, 62, 11, 74, 55, 80, 56, 64, 34, 42, 56, 67, 10 and 46. Find out the mean, median and modal mark.
(5 Marks)

State THREE types of probability distributions.
(3 Marks)
Calculate the mean, median, and standard deviation from the following data:
192, 288, 236, 229, 184, 260, 384, 291, 330, 242. (5 Marks)

Describe the FIVE limitations of statistics.
(5 Marks)

Question Two
Calculate Q1, Q3, D7, P85 from the following data:
(5 Marks)
Earnings 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25.
(Sh.000’s)
Employees 3 6 10 15 24 42 75 90 79 55 36 26 19 13 7
List THREE disadvantages of the use of graphical representation of data.
(3 Marks)
List FIVE types of graphs used in graphical representation of data. (5 Marks)
Briefly describe how to create a graph in MS-EXCEL.
(3 Marks)
The following one the prices of shares of ABC Co. Ltd.
Day Mon Tue Wed Thur Fri Sat
Prices (Kshs.) 200 210 208 160 200 250

Find the range and co-efficient of range. (4 Marks)

Question Three

In a random selection of 64 for road crossing in a town, the mean number of automobile accidents per year was found to be 4.2 and the sample standard deviation was 0.8. Construct a 95% confidence interval for the mean number of automobile accidents per crossing per year.
(5 Marks)

Define the term confidence interval, as used in statistics.
(2 Marks)
List THREE properties of a normal curve in a normal distribution.
(3 Marks)

Question Four
From the data given below, find:
The two regression equations.
The most likely marks in statistics when the marks in economics are 30.
Marks in economical (x) 25 28 35 32 31 36 29 38 34 32
Marks in Statistics (y) 43 46 49 41 36 32 31 30 33 39
(14 Marks)

List the THREE differences between correlation and regression.
(6 Marks)

Question Five
A company produced electric bulbs in previous years and the data on production is as follows:
Year 2003 2004 2005
No. of bulbs (M) 30 60 100

Represent the above data in a pictogram. (5 Marks)

Describe FOUR main uses of range as a measure of dispersion.
(4 Marks)
In two factories A and B engaged in the same industry, average weekly wages and standard deviation are as follows:
Factory Average Weekly wages (£) Standard Deviation of Wages (£) No. of Wage Earners
A 460 50 100
B 490 40 80
Which factory shows greater variability in the distribution of wages?
What is the mean of all the workers in the two factories taken together?
(11 Marks)






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