Math Problem Statement

Based on the provided table of student scores, determine the mode class, class interval size, and range.

Solution

Based on the provided image, I will answer the questions below:

Given Table Summary:

The table shows the distribution of students' scores in a game:

Markah (Score)Bilangan Pelajar (Number of Students)
10 – 193
20 – 291
30 – 397
40 – 4912
50 – 595
60 – 692

a) Solutions:

i) Kelas Mod (Mode Class)

The mode class is the class interval with the highest frequency.
From the table, the class interval 40 – 49 has the highest frequency of 12.
Answer: Kelas mod = 40 – 49.


ii) Saiz Selang Kelas (Class Interval Size)

To calculate the class interval size:
Saiz Selang Kelas=Upper LimitLower Limit of a Class\text{Saiz Selang Kelas} = \text{Upper Limit} - \text{Lower Limit of a Class} Using the first class interval (10 – 19):
Saiz Selang Kelas=1910=10\text{Saiz Selang Kelas} = 19 - 10 = 10
Answer: Saiz Selang Kelas = 10.


iii) Julat (Range)

The range is calculated as:
Julat=Highest ValueLowest Value\text{Julat} = \text{Highest Value} - \text{Lowest Value} From the table, the highest value is 69 (upper limit of last class) and the lowest value is 10 (lower limit of first class).
Julat=6910=59\text{Julat} = 69 - 10 = 59
Answer: Julat = **59

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Math Problem Analysis

Mathematical Concepts

Mode
Class Interval
Range

Formulas

Mode class: Class interval with the highest frequency
Class interval size = Upper limit - Lower limit
Range = Highest value - Lowest value

Theorems

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Suitable Grade Level

Grades 6-8