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Introduction To Statistics Question Paper

Introduction To Statistics

Course:Bachelor Of Science (Fashion Design & Marketing)

Institution: Kenyatta University question papers

Exam Year:2009

KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2008/2009
SECOND SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR
OF SCIENCE IN FASHION DESIGN AND MARKETING
HCR 300/HFD 301: INTRODUCTION TO STATISTICS

DATE: Friday 21st August, 2009

TIME: 8.00 a.m. – 10.00 a.m.

INSTRUCTIONS
Answer ALL questions in Section A and any other TWO questions in Section B.

SECTION A: (30 MARKS)
Q1.
(a)
Define the following terms:
(i)
Population
(ii)
Sample
(iii)
Statistics
[6 marks]
(b)
Differentiate between dependent and independent variable. [2 marks]
(c)
Indicate the level of measurement of the following:
(i)
Sex
(ii)
Occupation
(iii)
The Celsius scale
(iv)
The Kelvin scale
(v)
Time
(vi)
Academic rank of members of staff [3 marks]
Q2.
(a)
Explain what is meant by the term mean and indicate with what type of data it is most appropriate [2 marks]
(b)
For the following data, compute:
(i)
the mean [2 marks]
(ii)
the mode [1 mark]
(iii)
the median [1 mark]
55, 57, 59, 58, 60, 57, 56, 58, 61, 58, 59
(c)
What would you say about the shape of each of these distributions?
(i)
mean = 48;
median = 36;
mode = 32
(ii)
mean = 120; median = 140;
mode = 150
(iii)
mean = 8;
median = 8;
mode = 8
(iv)
mean = 18;
median = 18;
mode = 9 and 29
[4 marks]
Q3.
(a)
What is the main disadvantage of using the range as a measure of dispersion? [1 mark]
(b)
As a descriptive statistic, is the variance or the standard deviation a better index of variability? Why? [2 marks]
(c)
In a condition of a memory experiment, a researcher obtains the following
error
scores
3 2 1 0 7 4 8 6 1 1
6 8 6 9 4 5 0 8 7 6
Compute
(i)
The range [1 mark]
(ii)
The Variance [2 marks]
(iii)
The
Standard deviation [1 mark]
Q4.
For the data, 9, 5, 10, 7, 9, 10, 11, 8, 12, 7, 6, 9 Compute the z-score for the raw score of 10. [2 marks]

SECTION B – (40 MARKS)
Answer any TWO questions from this section.
Q5.
(a)
The following table lists the number of cases of each type of operation performed at a General Hospital last year.
Operations Performed at a General Hospital last year
Type of operation
Number of Cases
Thoracic
20
Bones and joints
45
Eye, ear, nose and throat
58
General
98
Abdominal
115
Urologic
74
Proctologic
65
Neurosurgery
23
Total
498
_________________________________________________________
Construct
(i)
A bar graph to represent the data. [5 marks]
(ii)
Display the data on a circle graph (Pie chart) in percentages. [4 marks]
(b)
Differentiate between a bar graph and a histogram. [2 marks]
(c)
State three important characteristics of any z-distribution. [3 marks]
(d)
What is meant by the term standard normal curve? [2 marks]
(e)
State 4 characteristics of a normal curve. [4 marks]
Q6.
(a)
Lucy received a grade of 55 on a biology test ( X = 50) and a grade of 45 on a philosophy test ( X = 50). She is considering whether to ask her two lecturers to curve the grades using z-scores.
(i)
What other information should she consider before making her request? [2 marks]
(ii)
Does she want the SX to be large or small in biology? Why? [2 marks]
(iii)
Does she want the SX to be large or small in philosophy? Why? [2 marks]
(b)
(i)
What is the percentage of scores that fall between the z-score of +.50 and a standard score of 1.20? [2 marks]
(ii)
What is the probability that a randomly selected score will fall between the mean and a z-score of 2.0? [2 marks]
(c)
(i)
Explain the term z-score?
(ii)
Why is it appropriate to use the sample mean to estimate the population mean? [2 marks]
Q7.
(a)
What is a frequency distribution table? [2 marks]
(b)
Explain three reasons why it may be necessary to convert raw scores into grouped scores. [6 marks]
(c)
What is the percentile rank of 30, when X = 27, S = 2? [4 marks]
(d)
What is the difference between point and interval estimation? [2 marks]
(e)
Differentiate between a parameter and a statistic? [2 marks]
(f)
Give 2 examples of population parameters [2 marks]
(g)
For the following distribution, what is the percentile rank of a score of 16?
12, 13, 13, 14, 16, 18, 22 [2 marks]

Introduction To Statistics Question Paper

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