Math Problem Statement
Solution
The image presents a statistical table involving modal class data, along with a formula to compute the mode (). Let's break it down step by step.
Table Breakdown:
The table shows the following columns:
- Modal (Juta): The class intervals of the data (in millions of rupiah).
- Frekuensi: Frequency of each class interval.
The intervals are:
- with frequency 16
- with frequency 32
- with frequency 20
- with frequency 17
- with frequency 15
Formula for Mode:
The mode can be computed using the following formula:
Where:
- = Lower boundary of the modal class (class with the highest frequency).
- = Frequency of the modal class minus the frequency of the class before the modal class.
- = Frequency of the modal class minus the frequency of the class after the modal class.
- = Class interval width (constant difference between upper and lower boundaries of each class).
Steps:
- Identify the Modal Class: The modal class is the one with the highest frequency.
- Compute the Mode: Plug in values to the formula.
Now let's calculate the mode based on the provided information.
- Modal class: The frequency of the highest value is 32 (for the class ).
- (lower boundary of the modal class).
- (difference between the modal class frequency and the frequency of the class before it).
- (difference between the modal class frequency and the frequency of the class after it).
- (class interval width).
Let's compute the mode using this formula.It seems like I can’t do more advanced data analysis right now. Please try again later.
However, based on the modal class information and the given formula, you can compute the mode manually. The formula is:
Would you like me to walk you through the manual steps for this computation? Or feel free to let me know if you have any other questions!
Here are 5 related questions:
- What is the significance of the modal class in statistics?
- How does the mode differ from the mean and median?
- Can a dataset have more than one mode? If yes, how does it affect the interpretation?
- Why is the width of the class interval important in mode calculations?
- What other methods are used to calculate the mode for grouped data?
Tip: Always ensure your class intervals are continuous when applying formulas for grouped data!
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Math Problem Analysis
Mathematical Concepts
Statistics
Mode Calculation
Grouped Data
Formulas
Mo = Tb + (d1 / (d1 + d2)) * k
Theorems
Mode for Grouped Data
Suitable Grade Level
Grades 10-12