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Introduction To Statistical Methods In Education Question Paper

Introduction To Statistical Methods In Education

Course:Bachelor Of Education (Science)

Institution: Kabarak University question papers

Exam Year:2010

KABARAK
UNIVERSITY

UNIVERSITY EXAMINATIONS
2009/2010 ACADEMIC YEAR
FOR THE DEGREE OF BACHELOR OF EDUCATION SCIENCE
COURSE CODE: EDUC 214
COURSE TITLE: INTRODUCTION TO STATISTICAL
METHODS IN EDUCATION

STREAM:

Y2S1
DAY:

FRIDAY
TIME:

2.00 – 4.00 P.M.
DATE:

13/08/2010

INSTRUCTIONS:
1. Answer All questions in section A- 30 marks
2. Any Two questions in section B- 40 marks

PLEASE TURNOVER
Page 1 of 4

SECTION A- 30 MARKS

QUESTION ONE – 15 MARKS

1. (a) Define the term statistics

(1Mrk)

(b) Explain Five main functions of statistics as used in education.

(5Mrks)
(c) Describe the following measures of dispersion

i) Range
ii) Variance iii) Standard deviation

(3Mrks)

(d) Obtain the mean for the following scores
6,4,12,10,18,18,20.

(2Mrks)
(e) Explain the following terms as used in statistics
i) Estimation
ii) Linear regression
iii) Analysis of variance
iv) Non-parametric test

(4Mrks)

QUESTION TWO 15 MARKS

a) Differentiate between the following terms using an example
i) Sample and population
ii) Histogram and frequency polygon
iii) Qualitative variable and Quantitative variable

(3Mrks)

b) Marks obtained by 45 form one students in continuous Assessment test were as
follows

4
10
4
15
15
15
5
5
11

11
9
2
16
16
16
4
9
5

8
16
12
11
17
3
3
5
3

2
11
6
4
18
1
9
2
2

5
10
9
8
7
7
2
6
13

i) Prepare a frequency distribution table starting with the class 0-2
(7Mrks)
ii) State the modal and the median classes.

(2Mrks)

(c) Explain the following standard scores
i) Z- scores
ii) T- scores
iii) Stamines

(3Mrks)

Page 2 of 4

SECTION B – 40 MARKS

QUESTION THREE – 20 MARKS
(a) Distinguish between descriptive statistics and inferential statistics

(2Mrks)
(b) The table below shows the scores of students in an examination marked out of
50 marks
Marks
No of students
40-44
2
35-39
4
30-34
7
25-29
10
20-24
6
15-19
5
10-14
2
5-9
3
0-4
1

N=40

Calculate
i) The mean mark

(5Mrks)
ii) The mode

(3Mrks)
iii) The median

(4Mrks)

(c) Peter score 70% Geography with a mean of 50% and standard deviation of 20.
He also received a score of 80% in maths with a mean of 90% and standard deviation
of 10. In which exam did Peter performed better.

(4Mrks)

QUESTION FOUR

(a) Differentiate between the following terms
i) Measurement
ii) A scale

(b) State and describe four scales of measurement giving one example in each case.

(12Mrks)
(c) Outline the six steps in hypothesis testing.

(6Mrks)

Page 3 of 4

QUESTION FIVE

a) Sketch and explain the following curves
i) Platty kurtic
ii) Meso kurtic
iii) Lepto kurtic

(6Mrks)

b) The table below shows scores from two tests

Tests A: 36
14
55
60
48
47
35
54

Tests B: 62
16
56
57
52
55
38
59

i) Draw a seater diagram

(3Mrks)
ii) Calculate spearman rank correlation co-efficient

(9Mrks)
iii) Comment on the results

(2Mrks)

Page 4 of 4

Introduction To Statistical Methods In Education Question Paper

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