Math Problem Statement

Based on the table, determine (i) the modal class, (ii) the class width, and (iii) the range of the data.

Solution

Based on the uploaded table and question, here are the answers for the given questions:

a) i) Kelas mod (Modal class):

The modal class is the class interval with the highest frequency. Based on the table:

  • The highest frequency is 12, which corresponds to the class 40–49.

Answer: 40–49


a) ii) Saiz selang kelas (Class width):

The class width is calculated as: Class Width=Upper boundary of a classLower boundary of the same class\text{Class Width} = \text{Upper boundary of a class} - \text{Lower boundary of the same class} Using the given class intervals (e.g., 10–19): Class Width=2010=10\text{Class Width} = 20 - 10 = 10

Answer: 10


a) iii) Julat (Range):

The range is calculated as: Range=Highest value in the data setLowest value in the data set\text{Range} = \text{Highest value in the data set} - \text{Lowest value in the data set} From the table:

  • The highest value is 69 (from the class 60–69).
  • The lowest value is 10 (from the class 10–19).

Range=6910=59\text{Range} = 69 - 10 = 59

Answer: 59


Let me know if you would like a detailed explanation for any of these calculations!

5 Related Questions:

  1. How do you calculate the median class from a frequency table?
  2. How would the modal class change if the frequency for 30–39 was increased to 13?
  3. What is the importance of class width in organizing grouped data?
  4. How do you find the mean of grouped data from a frequency table?
  5. What is the difference between range and interquartile range?

Tip:

When analyzing grouped data, always ensure the class intervals are consistent to avoid errors in interpretation.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Class Interval
Range

Formulas

Modal class: Class with the highest frequency.
Class width = Upper boundary of a class - Lower boundary of the same class.
Range = Highest value in the data set - Lowest value in the data set.

Theorems

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Suitable Grade Level

Grades 7-9