# National Open University Exam Past Question – EDU 821 OCTOBER/NOVEMBER 2014 EXAMINATION

## NATIONAL OPEN UNIVERSITY OF NIGERIA EDU 821 EDUCATIONAL STATISTICS

1416 AHMADU BELLO WAY, VICTORIA ISLAND LAGOS SCHOOL OF EDUCATION

OCTOBER/NOVEMBER 2014 EXAMINATION

COURSE CODE: EDU 821 (3 Units)

COURSE TITLE: EDUCATIONAL STATISTICS TIME ALLOWED:  3 HOURS

INSTRUCTION: ANSWER QUESTION ONE AND ANY OTHER THREE QUESTIONS.

 1. (a) (i) Enumerate  THREE types of errors in measurement.                        (3 marks) (ii) What is a variable? Give TWO examples.                                         (4 marks) (ii) Differentiate between cluster and purposive sampling techniques(2 marks) (b) (i) The TMA1 scores  of 20 NOUN students in EDU 821 are as follows:

3, 5, 4, 8, 6, 4, 7, 7, 6, 6

5, 7, 6, 8, 5, 4, 7, 3, 5, 6

Calculate   (i)  Range       (ii)  Mode      (iii)  Mean    (iv) Standard deviation of the scores                                                                                                 (10 marks)

(ii)     Four groups of ODL students, consisting of 15, 20, 10 and  18 individuals, reported mean weights of 162, 148, 153 and 140 respectively.  Find mean weight of all the students.                                                                                             (5 marks)

 2. (a) (i) Differentiate between  bar chart and histogram (2 marks) (ii) Explain the concept of Pearson Product Moment correlation (3 marks)

(iii) Mention FIVE basic assumption of using Pearson correlation                                  (5 marks

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(b)  If the probability that  A will be alive in 20 years is 0.7 and the probability  that   B will be alive in 20 years is 0.5. What is the probability that  they will both be alive in 29 years.

(5 marks)

 3. (a)  (i) Explain THREE types of data you know. (6 marks) (ii) Distinguish between statistics and statistic (3 marks) (b) Given the scores of three students in EDU 821 as follows: 45, 90 and 75 (i) Compute the Z-score of each of the scores (5 marks) (ii) Mention ONE function of Z-score (1 mark)

1. (a)(i) Enumerate  FIVE reasons why a practising teacher  needs  the knowledge of

statistics.                                                                                                          (5 marks) (ii) Explain nominal scale.  Give 2 examples                                                      (4 marks)

(b)  (i)  List THREE processes  you would take  in order to draw statistical inference.

(3 marks)

(ii)  The Z-score of Kunle’s score Statistical method is -1.5.  Calculate his T-score.

(3 marks)

1. 5. (a) Two researchers were studying the relationship between amount of sleep each  night and energy burned on an exercise  for 10 men and women.  They were interested in showing that people  who slept  more got more energy to use in their exercise session.  They obtain a correlation of .28 which has a two-tailed  probability of 0. Alpha was 0.01.
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(i)      What type of variables “amount of sleep”?                                                     (3 marks)

(ii)       Interpret this result                                                                                            (2 marks) (iii)      What conclusion would you draw from this study?                                         (3 marks) (b)       (i) List any FIVE assumptions which are to be satisfied when using a t-test to

analyse data for a study.                                                                                   (5 marks)

(ii) Differentiate between  type I and type II errors                                             (2 marks)

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