Board Licensure Examination for Professional Teachers Reviewer

Exercises on test and Measurement

There are three measures of central tendency: the mean, the median and the mode.

1.                 The mean is computed to established the greatest reliability of given scores, if the distribution of scores is relatively normal and if other computations of scores will be used later.

2.                 The median is computed if the mean cannot be computed, if the distribution of scores is skewed and to find out if the class score falls either within the lower or the upper limit:

3.                 The mode is computed to get the fastest estimate of the average of class score and to know the most typical score of the class.

Here are some exercises to work on:

Given: The scores of 30 students in a 10-item test

1 5 1 6 3 3 6 4 2 3 9 2 3 7 8 2 7 0 6 1 0 1 5 6 3 2 8 2 0 = 111

To compute the mean:     Add all the scores -111

Divide by the No. of students – 30

Thus: 111/30 = 3.7

Given:

Raw    Scores            F (frequency)

95       91                   1                                  The median is computed;

90       56                   3                                  Md = ((N / (L + 2 - S )) / f ) 1

85       81                   2                                  = (65.5 + .30/2 -12 x 5) / 5

80       76                   2                                  =65.5 + 3 = 68.5 Median

75       71                   5

70       66                   5

65       61                   6

60       56                   5

55       51                   1

50       46                   0

30

Given: The same raw scores and the Frequency as above:

The mode is computed, thus:

1.     Get the lowest f = 0

2.     Add this to the next f = 1

3.     Add 1 to the next frequency = 5, result is 6

4.     Add 6 to 6, the next frequency = 12

5.     Add 12 to 5, the next frequency = 17

The highest frequency in the given exercise is 6 which is between the scores 65 61, and the mode is 62.5.