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What is the Range (Data)?
Grade Level:
Class 5
Data Science, Computing, AI, Statistics
Definition
What is it?
The Range in data tells us how spread out our numbers are. It is the difference between the highest value and the lowest value in a set of data. Think of it as the 'stretch' of your numbers.
Simple Example
Quick Example
Imagine your cricket team scored these runs in 5 matches: 20, 50, 30, 10, 40. The highest score is 50, and the lowest is 10. The Range would be 50 - 10 = 40. This means their scores varied by 40 runs.
Worked Example
Step-by-Step
Let's find the Range for the daily temperatures in Delhi last week (in Celsius): 32, 35, 28, 30, 36, 29, 33.
---Step 1: Identify all the numbers in the data set. The temperatures are 32, 35, 28, 30, 36, 29, 33.
---Step 2: Find the highest value in the data set. Looking at the numbers, the highest temperature is 36.
---Step 3: Find the lowest value in the data set. Looking at the numbers, the lowest temperature is 28.
---Step 4: Subtract the lowest value from the highest value. Range = Highest Value - Lowest Value.
---Step 5: Calculate: Range = 36 - 28 = 8.
---Answer: The Range of temperatures for the week is 8 degrees Celsius.
Why It Matters
Understanding Range helps us see how much variation there is in data, which is useful in Data Science and Statistics. It's used by weather scientists to describe temperature changes or by businesses to understand price fluctuations. Even AI systems use range to analyze data patterns!
Common Mistakes
MISTAKE: Students sometimes forget to subtract and just list the highest and lowest numbers. | CORRECTION: Remember, Range is a single number – the result of subtracting the lowest from the highest value.
MISTAKE: When data is not sorted, students might pick a middle number as highest or lowest by mistake. | CORRECTION: Always scan through ALL numbers carefully to find the true highest and lowest, or sort the data first to make it easier.
MISTAKE: Including units in the final Range calculation (e.g., '8 runs' instead of just '8'). | CORRECTION: While the context might be runs or degrees, the Range itself is a numerical value. Just write the number.
Practice Questions
Try It Yourself
QUESTION: What is the Range of these marks in a Maths test: 75, 80, 60, 90, 70? | ANSWER: 30
QUESTION: A vegetable vendor recorded the price of onions (per kg) for 5 days: Rs. 25, Rs. 28, Rs. 22, Rs. 30, Rs. 26. Find the Range of onion prices. | ANSWER: Rs. 8
QUESTION: The number of samosas sold at a stall each hour from 10 AM to 2 PM were: 10 AM: 45, 11 AM: 60, 12 PM: 75, 1 PM: 50, 2 PM: 80. What is the Range of samosas sold per hour? | ANSWER: 35
MCQ
Quick Quiz
What is the Range of the following numbers: 12, 5, 20, 8, 15?
20
5
15
25
The Correct Answer Is:
C
The highest number is 20 and the lowest number is 5. The Range is 20 - 5 = 15. Options A and B are just the highest and lowest values, not the difference.
Real World Connection
In the Real World
In cricket, commentators often talk about the 'range of scores' a batsman has made, or the 'range of temperatures' expected for a match day. Even when you check prices for mobile phones online, knowing the range of prices helps you see how much variation there is between the cheapest and most expensive models.
Key Vocabulary
Key Terms
DATA SET: A collection of numbers or information. | HIGHEST VALUE: The largest number in a data set. | LOWEST VALUE: The smallest number in a data set. | DIFFERENCE: The result of subtracting one number from another. | VARIATION: How much numbers in a set differ from each other.
What's Next
What to Learn Next
Great job learning about Range! Next, you can explore 'Mean', 'Median', and 'Mode'. These concepts also help us understand data better and are often used together with Range to get a complete picture of information.
