NATIONAL OPEN UNIVERSITY OF NIGERIA
91 Cadastral zone, NnamdiAzikiwe Expressway, Jabi, Abuja
FACULTY OF EDUCATION
2019_2 EXAMINATION QUESTIONS
PROGRAMME: M.ED
COURSE CODE: EDU821
COURSE TITLE: STATISTICAL METHODS I
CREDIT UNIT: 3
TIME ALLOWED: 2HOURS
INSTRUCTION: ANSWER QUESTION NO. ONE (1) AND ANY OTHER
THREE (3).
QUESTION ONE:
a. The TMA score of 20 NOUN students in EDU821 Are as follows:
3,5,4,8,6,4,7,7,6,6,5,7,6,8,5,4,7,3,5,6. Calculate the following
i. Range 1marks
ii. Mode 1marks
iii. Mean 4marks
iv. The variance 7marks
b. Give the full meaning of the following Statistical terms
i. ANOVA
ii. ANCOVA
iii. MANOVA
iv. MANCOVA
4 marks
c. Given the scores of three students in EDU821 as follows: 45, 90 and 75; Compute the Z-score of
each of the scores 8 marks
1
QUESTION TWO:
The following frequency distribution for the number of minutes per class spent browsing by 284 NOUN
students are as contained in the table below:
Time 30-39 40-49 50-59 70-79 80-89 90-99
No. of Students 14 46 58 68 62 6
Using the table, find the following:
(i) The class size of the distribution 1 mark
(ii) The upper limit of the fifth class 1 mark
(iii) The lower limit of second class 1 mark
(iv) The class mark of the third class 2 mark
(v) The lower class boundary of the fourth class 1 mark
(vi) The upper class boundary of the sixth class 1 mark
(vii) The percentage composition of each of the six groups in the table 8 marks
QUESTION THREE:
a. Calculate using the assumed mean method, the mean of the distribution below:
Students (X) 61 64 67 70 73
Frequency (f) 5 18 42 27 8
3 marks
b. Suppose two (2) Lecturers X and Y rank 10 students during a micro teaching exercise as follows:
Student A B C D E F G H I J
Rank by Lecturer X 5 3 5 6 8 5 6 2 9 10
Rank by Lecturer Y 4 2 3 8 9 3 7 2 7 10
Compute the Spearman rank correlation coefficient and comment on the extent to which the
Lecturers X and Y agree with each other. 10 marks
c. Differentiate between a bar chart and histogram 2 marks
QUESTION FOUR:
a. Almost every area of study requires some level of statistics. For instance, research reports in most
disciplines are enriched by statistics. Based on the premise above, we can rightly ask the
following questions
(i) What is Statistics? 3 marks
(ii) Differentiate between Descriptive and Inferential Statistics; 3 marks
(iii) Aside reporting research, mention at least six other usefulness of statistics 6 marks
b. Differentiate between Population and Sample. 3 marks
QUESTION FIVE:
a. Four groups of NOUN students, consisting of 15, 20, 10 and 18 individuals reported mean
weights of 162, 148, 153, and 140 respectively. Find the mean weight of all the students
9 marks
b. How does ANCOVA differ from ANOVA in terms of use in sampling 2marks
c. The Z-score of Mary’s score in statistical method is -1.5. Calculate her T-score 2 marks
d. Differentiate between correlation and regression analysis 2 marks
