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What is a Set with the Same (Comparison)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
A 'Set with the Same' means a collection of things where all items share a common feature or value. When we compare items, they all show the exact same characteristic. It's like finding a group where everyone has the same favourite colour.
Simple Example
Quick Example
Imagine you have a basket of fruits. If all the fruits in the basket are mangoes, then it's a 'set with the same' type of fruit. Or, if all your friends scored 90 marks in a Maths test, then their marks form a 'set with the same' score.
Worked Example
Step-by-Step
Let's say we have a list of prices for different types of chai at a local stall: Masala Chai: Rs 20, Ginger Chai: Rs 20, Elaichi Chai: Rs 20, Black Tea: Rs 15.
1. We are looking for items that have the same price.
2. We compare the price of Masala Chai (Rs 20) with Ginger Chai (Rs 20).
3. They are the same. We compare them with Elaichi Chai (Rs 20).
4. They are all the same.
5. Black Tea (Rs 15) is different.
6. So, the set of chai types with the same price is {Masala Chai, Ginger Chai, Elaichi Chai}.
Answer: Masala Chai, Ginger Chai, and Elaichi Chai all have the same price of Rs 20.
Why It Matters
Understanding 'sets with the same' helps you organize information and find patterns quickly, which is super useful in daily life. This concept is fundamental in computer programming for sorting data, in data science for finding trends, and even in finance for grouping similar investments.
Common Mistakes
MISTAKE: Including items that are 'similar' but not exactly the same. | CORRECTION: For a 'set with the same', items must have an IDENTICAL characteristic, not just a similar one. 'Same' means exact match.
MISTAKE: Focusing on a different characteristic than the one being compared. | CORRECTION: Always make sure you are comparing the specific feature asked for. If comparing colour, don't look at size.
MISTAKE: Missing some items that actually belong to the set. | CORRECTION: Carefully check every item in the given collection against the chosen characteristic to ensure no items are left out or wrongly included.
Practice Questions
Try It Yourself
QUESTION: In a group of students, their heights are: Rohan (150 cm), Priya (145 cm), Amit (150 cm), Sara (155 cm). Which students have the same height? | ANSWER: Rohan and Amit
QUESTION: A mobile data pack costs Rs 199 for 1GB, Rs 299 for 2GB, Rs 199 for 1GB, Rs 499 for 5GB. Which data packs have the same price? | ANSWER: The two 1GB data packs have the same price of Rs 199.
QUESTION: You have a list of cricket scores from 5 matches: Match 1 (250 runs), Match 2 (280 runs), Match 3 (250 runs), Match 4 (250 runs), Match 5 (290 runs). Identify the set of matches where the team scored the same number of runs. How many matches are in this set? | ANSWER: Matches 1, 3, and 4 have the same score of 250 runs. There are 3 matches in this set.
MCQ
Quick Quiz
Which of these represents a 'set with the same' characteristic?
A basket with apples, oranges, and bananas.
A collection of pens, all of which are blue.
A group of friends with different favourite colours.
A list of cities with varying populations.
The Correct Answer Is:
B
Option B is correct because all items (pens) share the exact same characteristic (being blue). The other options describe collections where items have different characteristics.
Real World Connection
In the Real World
When you use an e-commerce app like Flipkart or Amazon, and you filter products by 'same brand' or 'same price range', you are essentially creating 'sets with the same' characteristic. Data analysts use this concept to group customers with similar buying habits to offer personalized recommendations.
Key Vocabulary
Key Terms
SET: A collection of distinct objects or items | CHARACTERISTIC: A feature or quality that an item has | COMPARE: To look at two or more things to see how they are similar or different | IDENTICAL: Exactly the same, without any difference
What's Next
What to Learn Next
Great job understanding 'sets with the same'! Next, you can learn about 'Sets with Different (Comparison)' to see how items vary. This will help you understand how to group things based on both similarities and differences, building a stronger foundation for data organization.
