CHAPTER 11

Organizing Test Scores

for Statistical AnalysisMeasuring and Evaluating Learning Outcomes:

A Textbook in Assessment of Learning 1 & 2 by Carlito D. Garcia, Ed.D

Nebres, Ma.Jessa Kristine C.

BSEd III- English

Preparing Single Value Frequency Distribution

The following steps have to be observed in

preparing a single value frequency distribution:

1. Arranged the scores in descending order. List

them in the X column of the table.

2. Tally each score in the tally column.

3. Add the tally marks at the end of each row.

Write the sum in the frequency column.

4. Sum up all the row total tally marks (N=____)

X Tally Frequency

14109865432

1111111

111111111-111

11111111111

322481523

TABLE 11.1

Frequency Distribution of Spelling Test Scores of grade III Pupils

N = 30

Setting Class Boundaries and Class Marks

A real grouped frequency distribution does

not only include classes and frequency per

class. Class boundaries, as well as class

marks have to be made part of it. This is

because they are needed when other

statistical measures are to be computed.

Class Boundary

the integral limit of a class

♥ apparent limits of a class – comprised of an

upper and lower limit

i.e. in the class 36 - 40

LM

UP

♥ Real or Exact limits of scores – extend

from one-half of the smallest unit

measurement below the value of the score to

one-half unit above

(Minium and his colleagues, 1995)

• Consider the class, 61-65. The apparent

limits of this class are 61 and 65. The real

limits of this class, however are 60.5 (exact

lower limit) and 65.5 (exact upper limit)

Class mark – the midpoint of a class in a grouped

frequency distribution

Class mark is computed based on the following

formula:

CM = (LL + UL) / 2

Where: CM = class mark

LL = lower limit of a class

UL = upper limit of a class

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