How many of the numbers in part (a) begin with either of the digits 2 comma 3 comma or 4?
The correct answer and explanation is:
To accurately answer your question, I need to see the list of numbers from part (a) you’re referring to. Since that list is not provided in your message, I’ll explain how to solve this type of question and then provide a sample answer using an example.
✅ General Approach to Solving This Question
Question: How many numbers begin with either of the digits 2, 3, or 4?
Step 1: Get the List
Get the list of numbers you are analyzing (from “part (a)” or your dataset).
Step 2: Identify First Digit
For each number, examine the first digit (leftmost non-zero digit). That’s the “leading digit”.
Step 3: Count Matching Digits
Check if the first digit is 2, 3, or 4. If yes, count it.
Step 4: Add the Count
Sum the number of such matches to get your final answer.
✅ Example
Let’s say part (a) lists the following numbers:
172, 238, 315, 442, 509, 623, 312, 198, 456, 289
- 172 → starts with 1 ❌
- 238 → starts with 2 ✅
- 315 → starts with 3 ✅
- 442 → starts with 4 ✅
- 509 → starts with 5 ❌
- 623 → starts with 6 ❌
- 312 → starts with 3 ✅
- 198 → starts with 1 ❌
- 456 → starts with 4 ✅
- 289 → starts with 2 ✅
Now count the numbers that start with 2, 3, or 4:
✅ → 238, 315, 442, 312, 456, 289
That’s 6 numbers.
✅ Final Answer: 6
📝 Explanation (300 words)
When asked how many numbers begin with either 2, 3, or 4, we are focusing on the leading digit of each number. This digit tells us the “starting point” of the number and is a common way to categorize numbers, especially in data analysis, accounting, or pattern recognition.
To solve this, begin by listing all the numbers provided. Then examine each number and identify the first digit. It is important to note that we’re only looking at the digit in the most significant position—for example, the digit “2” in “289”, not “8” or “9”.
Once all the first digits are identified, we compare them against our target set: 2, 3, or 4. Any number that begins with any one of these digits is counted as a match.
This method can be helpful in various real-world applications, such as data integrity tests (like Benford’s Law), understanding digit distribution, or frequency analysis in datasets. This process teaches attention to detail and methodical counting.
So, if 6 out of 10 numbers begin with 2, 3, or 4, that means 60% of the data set falls into the specified category—potentially a meaningful pattern depending on the context.