MEASURES OF VARIABILITY

MEASURES OF VARIABILITY

1.       The following scores were obtained by a class in a 15-item test in social science.

Boys: 9, 10, 13, 6, 10, 6, 9, 10, 8

Girls: 9, 7, 5, 12, 3, 8, 10, 2, 8, 10, 14, 7

Find the range, mean deviation, standard deviation, and variance.

a)      For the boys

b)      For the girls

c)       For the whole class

Use a calculator and interpret the results.

2.       Data on mental ability of a third-year high school class were recorded and are given below.

85           92           100         104         110         119         125         86           95           102         106

112         120         130         90           98           103         107         115         124

Assuming that the mean ±0.50 of a standard deviaton is considered average, how many in the class are considered average? Use a calculator.

3.       A mental ability test was administered to ten students.  The results are shown below:

110         105         120         115         137         122         108         112         114         124

Find the mean and standard deviation.

4.        The numbers of hours worked last week by employees at a San Rafael Plant have been grouped in the following frequency distribution.  Determine the standard deviation.

Hours                    Number of Workers

50  - 55                                  45

46 – 50                                  44

41 – 45                                  50

36 – 40                                  40

31 – 35                                  16

26 – 30                                  5

5.       The following is the frequency distribution of the weights of 50 patients admitted in a hospital during the week.

Weight (kilos)                    Number of Patients

71 – 75                                                  7

66 – 70                                                  9

61 – 65                                                  14

56 – 60                                                  10

51 – 55                                                  6

46 – 50                                                  4

6.       A hospital administrator compared the age with the emergency admissions on a given Monday with those Friday of the same week.

Age                                        Monday               Friday

61 – 70                                  8                              3

51 – 60                                  6                              6

41 – 50                                  5                              12

31 – 40                                  9                              14

21 – 30                                  10                           10

11 – 20                                  9                              8

1   -  10                                  7                              7

Calculate the standard deviation for each set of data and compare the age dispersion in the Monday and Friday admissions.

TABLE 2.4

COMPUTATION OF THE MANAGEMENT PRACTICES OF SECONDARY SCHOOL ADMINISTRATORS IN TERMS OF PANNING AND ORGANIZING WORK AS ASSESSED BY MASTER TEACHER

FUNCTIONS	5	4	3	2	1	TOTAL	WM	DESCRIPTION
1.       Develop project proposal for development	12	17	4	0	0	33/140	4.24	Very Satisfactory
2.       Prepare the yearly school program	15	17	10	0	0	33/146	4.42	Very Satisfactory
3.       Plans and administer school test	13	15	3	1	0	33/136	4.12	Very Satisfactory
4.       Plans the implementation of Secondary School Curriculum	13	16	3	1	0	33/140	4.24	Very satisfactory
5.       Plans and organize the government thrust such as Alay-Tanim, Cleanliness, etc.	11	19	3	0	0	33/140	4.24	Very Satisfactory
6.       Prepares administrative and supervisory plans	14	12	7	0	0	33/139	4.21	Very Satisfactory
Total						198	4.24	Very Satisfactory

Scale                                     Range                                   Interpretation

5                                              4.51 – 5.00                           Outstanding

4                                              3.51 – 4.50                           Very Satisfactory

3                                              2.51 – 3.50                           Satisfactory

2                                              1.51 – 2.50                           Fair

1                                              1.00 – 1.50                           Needs Improvement

                Table 2.4 shows that the secondary school administrators were rated by the master teachers very satisfactory in “Planning and Organizing Work” as indicated by the grand weighted mean of 4.24.  This tends to show that the secondary administrators were proficient in organizing the schools’ year long activities.

  

METHODS AND STRATEGIES OF TEACHING	5	4	3	2	1
1.       Starts the lesson in an interesting manner	35	75	85	12	14
2.       Clarifies the objective/s of the lesson	124	25	147	85	90
3.       Makes the lesson practical and relevant by relating it with everyday living	3	25	85	1	4
4.       Relates the lesson with current issues and other subject areas whenever possible	25	14	36	96	45
5.       Facilitates students’ understanding by rephrasing questions using synonyms, giving examples and the like	75	31	47	90	4
6.       Formulates questions that challenge the students’ imagination or reasoning ability	84	75	102	14	8
7.       Gives students’ learning tasks; exercises related to the topics learned/being learned	147	25	14	3	7
8.       Uses instructional time productively by properly apportioning it to  all class activities	45	54	24	98	4
9.       Encourages maximum participation of the students in all activities	23	25	74	32	105
10.   Make use of blackboard and other audiovisual materials like pictures, graphs, and outlines to make lesson more interesting	45	74	25	80	205
11.   Provides students with more opportunities for learning by giving assignments, research work and the like which could be accomplished within allotted time	32	12	98	25	6
12.   Encourages students to ask intelligent and relevant questions	98	25	14	5	6
13.   Establishes continuity and unity of present and previous lessons; summarizes the lessons to bring out important points	45	85	145	6	8
14.   Evaluates student’s performance by giving quizzes from time to time	21	17	105	6	7
15.   Informs students of test results not later than two weeks after the exam	125	64	35	5	4
16.   Explains the grading system and gives grades fairly	35	98	105	85	5

MASTERY OF THE SUBJECT MATTER	5	4	3	2	1
1.       Presents the lessons systematically	85	12	4	9	4
2.       Explains the lessons/objectives clearly	95	25	145	7	5
3.       Answers questions of the students intelligently and satisfactorily	35	85	96	14	4

COMMUNICATION SKILLS	5	4	3	2	1
1.       Speaks correct English  and/or Filipino and communicates his ideas well	35	24	6	1	85
2.       Has a loud voice enough to be heard by everyone in class	45	85	3	4	6

CLASSROOM MANAGEMENT	5	4	3	2	1
1.        Sees to it that the room is clean and orderly at all times	4	85	45	106	6
2.       Maintains classroom discipline	4	90	4	6	14
3.       Checks attendance of students	145	85	6	8	4
4.       Sees to it that the students wear the prescribed uniform	85	95	105	6	8
5.       Sees to it that all teaching materials like chalk and eraser are prepared	90	85	106	4	2
6.       Puts off electric fans, lights and makes sure that blackboards are clean before dismissing the class	85	95	104	8	4

PERSONAL AND SOCIAL TRAITS	5	4	3	2	1
1.       Projects self-confidence, respects opinion, suggestions, and comments of students	13	85	95	10	4
2.       Projects respectable and decent image	45	75	98	12	6
3.       Practices what he/she preaches/advises	13	25	74	6	7
4.       Manifests and promotes charism of work and pray	35	74	106	4	8
5.       Integrates positive values in the lesson	145	6	25	10	8
6.       Recognizes students’ participation in institutional activities by proper considerations	63	85	106	4	5
7.       Comes to class regularly	14	85	95	110	68
8.       Comes to class on time	85	4	5	6	4
9.       Approachable and encourages students to consult him/her for assistance	5	85	10	45	1