ASSIGMENT QUESTION SBST 1303 ELEMENTARY STATISTICS/ STATISTIK ASAS SEM SEP 2011

ASSIGNMENT QUESTION

 

INSTRUCTION: ANSWER ALL QUESTIONS.

QUESTION 1

A study on identifying the basic category of thinking skills has been conducted among 100 students in a selected secondary school. In this study, 7 main questions have been constructed based on 7 dimensions of thinking skills and each question gives a maximum of 2 marks. Table 1 shows the thinking skills scores among the students.

Table 1 : Thinking Skills Scores

14	13	11	10	9	8	8	7	4	4
14	13	11	10	8	8	8	7	4	4
14	12	11	10	8	8	7	6	4	4
13	12	11	10	8	8	7	6	4	4
13	12	10	9	8	8	7	6	4	4
13	12	10	9	8	9	7	5	4	3
13	12	10	9	8	8	7	5	4	3
13	12	10	9	8	8	7	5	4	2
13	12	10	9	8	8	7	5	4	2
13	12	10	9	8	8	7	5	4	2

a)      If the scores can be classified into 3 main groups as shown in Table 2, construct a pie chart (in percentage) to represent the data.

          Table 2 : Level of Thinking Skills

Group score	Level of Thinking Skills
0 to  5	Low
6 to 10	Medium
11 to 14	High

b)      Analyse the thinking skills scores obtained by the students based on your pie chart.

c)      By using class interval of  0-2, 3-5, 6-8, 9-11 and 12-14,

                                       i.                    Construct a histogram for the scores.

                                     ii.                    Construct a cumulative frequency polygon “less than or equal” and estimate number of students who did not score 10.

(15 marks)

QUESTION 2

A mathematics test has been administered to a group of 40 students. The results of the test are shown in Table 3 below.

                   Table 3: Frequency Distribution of Test Results (in grade)

Grade obtained	Actual Grade	Frequency
1.5-2.4	2	3
2.5-3.4	3	3
3.5-4.4	4	5
4.5-5.4	5	5
5.5-6.4	6	6
6.5-7.4	7	8
7.5-8.4	8	4
8.5-9.4	9	4
9.5-10.4	10	2

By using the actual grade as class mid-point,

a)              construct a histogram of students’ test results.

b)             state the relative frequency (in decimal ) for the fifth class.

c)              calculate the following:

                                       i.                    mean

                                     ii.                    mode

                                   iii.                    median

                                   iv.                    variance

                                     v.                    standard deviation.

            (15 marks)