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Educational Statistics And Evaluation Question Paper
Educational Statistics And Evaluation
Course:Bachelor Of Education
Institution: Kenyatta University question papers
Exam Year:2009
KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2009/2010
FIRST SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR OF
EDUCATION
EPS 402: EDUCATIONAL STATISTICS AND EVALUATION
DATE: Monday 28th December, 2009 TIME: 8.00 a.m. – 10.00 a.m.
INSTRUCTIONS
1.
This paper is divided into TWO sections A and B.
2.
Attempt ALL questions in BOTH sections.
3.
Relevant formula and Standard Normal distribution tables are provided at
the back of this question paper.
4.
Scientific calculators may be used in this examination.
5.
Use of Mobile Phones is strictly prohibited.
SECTION A: (40 MARKS)
Q1.
(a)
Explain the difference between the following:
(i)
A discrete variable and a continuous variable.
(ii)
Unimodal distribution and bimodal distribution.
(iii)
Percentile point and percentile rank.
(iv)
Positively skewed distribution and negatively skewed distribution. [2 marks]
(b)
Indicate the appropriate scales (or levels) of measurement for each of the
following variables.
(i)
The total number of learners in your class.
(ii)
The heights of all the KU teaching staff.
(iii)
The positions of learners in an end-term examinations.
(iv)
The scores of Form 2 students in an English test.
[2 marks]
Q2.
Given below is a set of grouped data showing the performance of students on a
Form 3 Physics test.
Class-interval Frequency (f)
30 – 34
25 – 29
10
20 – 24
18
15 – 19
15
10 – 14
8
5 - 9
5
Using the above tabular data, calculate the following measures of:
(a)
Central tendency:
(i)
Mode [½ marks]
(ii)
Median [1½
marks]
(iii)
Mean [2 marks]
(b)
Variability:
(i)
Range [½ marks]
(ii)
Variance [2½ marks]
(iii)
Standard deviation [½ marks]
(c)
Using the measures of central tendency obtained in (a) above, describe;
(i)
fully the distribution of scores, and [½ marks]
(ii)
The performance of students on the test. [½ marks]
(d)
In a large class of Educational evaluation the final examination scores have a mean of 56.3 and a standard deviation of 14.5. Assuming the distribution of examination scores if normal, find:
(i)
the percentage of scores exceeding 90. [1½ marks]
(ii)
the proportion of examinees scoring less than 50. [1 mark]
(iii)
If the top 10% of the students are to be assigned grade A, determine the cut-off score for them. [2 marks]
(e)
Distinguish between the following types scores:
(i)
z-score and standard score.
(ii)
T-score and stanines
(iii)
Standardized scores and Normalized scores.
[3 marks]
Q3.
(a)
Distinguish between the following sets of terms:
(i)
Summative and formative evaluation
(ii)
Norm-referenced and criterion-referenced testing
(iii)
Paper and pencil (or written) and performance tests.
(iv)
Criterion-related validity and construct validity.
[4 marks]
(b)
Explain the effect of each of the following on the quality of a test:
(i)
Use of a test specifications table.
(ii)
Small or large number of items in the test.
(iii)
Mixing difficult, moderate and easy items in an appropriate proportion when preparing a test. [3 marks]
(c)
Explain two methods a teacher can use to reduce subjectivity in marking an essay test. [2 marks]
Q4.
(a)
State four factors that might affect the selection of an item format (or question type) that a teacher would like to use on his/her test. [2 marks]
(b)
State and explain three factors that might increase the reliability of a classroom test. [3 marks]
(c)
(i)
What is a report form?
(ii)
How is the report form important to the following?
I - Student
II
- Teacher
III
- Parents
IV
- Administrator
[4 marks]
(d)
State four important roles that evaluation plays in a nation’s educational programme. [2 marks]
Q5.
(a)
(i)
Define correlation. [½ marks]
(ii)
How is a scatter plot (or scatter diagram) useful in determining the Relationship between two variables? Explain. [1 mark]
(b)
Given below are scores that were obtained by a group of ten Form 4 students on Mathematics and Chemistry tests.
Student A B C D E F G H I J
Mathematics
10 8 6 2 3 4 6 8 9 4
Chemistry
4 3 10 8 2 9 6 7 6 4
(i)
Compute the Pearson product moment correlation coefficient rxy, between mathematics and chemistry scores. [6 marks]
(ii)
Interpret your calculated value (rxy). [½ mark]
(iii)
State two assumptions underlying the Pearson product moment correlation coefficient, rxy. [1 mark]
(iv)
Calculate the Spearman Rank order correlation coefficient rs for the above given data. [5 marks]
(v)
Give two assumptions underlying the Spearman Rank order correlation coefficient, rs. [1 mark]
Q6.
(a)
(i)
What is item analysis? [½ mark]
(ii)
Briefly distinguish between item difficulty index (P) and Item Discrimination index (D). [2 marks]
(iii)
What properties are desirable for:
I - Item difficulty index?
I - Item discrimination index? [1 mark]
(b)
The table below gives a summary of students responses on two multiple
choice items (or questions).
Item No. 1
Group
Options
Omits Total
A B*
C
D
Upper group
3
50 0
7
0
60
Lower group
22
30 0
3
5
60
2
Group
A B C D* Omits Total
Upper
group
4 9 4 43
60
Lower group
0
28 0
32
60
For item 1, B* is the key.
For item 2, D* is the key.
(i)
For each of the two test items, compute the item difficulty index (P) and item discrimination index (D). [6 marks]
(ii)
Comment on the quality of each item in the light of the item analysis data presented in b(i) above. [3 marks]
(iii)
Evaluate the effectiveness of the distractors in the test items and identify the good and poor distractors. [2½ marks]
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