A class has 50 students. Use the

secondsecond

row of digits in the random number table below to select a simple random sample of three students. If the students are numbered 01 to​ 50, what are the numbers of the three students​ selected?

​Line/Column

​(1)

​(2)

​(3)

​(4)

1

0196701967

2556025560

4821448214

9652696526

2

8909089090

9001490014

6656766567

1391513915

3

4482044820

2456724567

3764537645

1965219652

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Part 1

What are the numbers of the three students​ selected?

enter your response here

​(Use a comma to separate answers as​ needed.)

To select a simple random sample of three students using the second row of digits from the random number table, we will follow these steps:

1. The students are numbered from 01 to 50.
2. We will group the digits from the second row of the table into pairs to match the two-digit student numbers.
3. We'll skip any numbers that fall outside the 01 to 50 range or if a number is repeated.

Let's extract the digits from the second row:

- **89**09089090
- **90**01490014
- **66**56766567
- **13**91513915

The pairs of digits are: 89, 09, 08, 90, 90, 01, 49, 00, 14, 90, 01, 49, 00, 14, 66, 56, 76, 65, 67, 13, 91, 51, 39, 15.

Now, let's identify the first three valid student numbers:

- **09** (valid, between 01 and 50)
- **01** (valid, between 01 and 50)
- **49** (valid, between 01 and 50)

So, the numbers of the three students selected are **09, 01, and 49**.

Would you like more details or have any questions?

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**Related Questions:**
1. What would be the result if we used the first row of digits instead?
2. How would the process change if there were 100 students?
3. What is the significance of skipping numbers like 89 and 90?
4. How do we handle repeated numbers when selecting a sample?
5. Can this method be applied to select more than three students? How?
6. How does the sample size affect the randomness of the selection?
7. What is the probability of selecting a specific student using this method?
8. How does this sampling method ensure fairness?

**Tip:** When dealing with large samples, using a random number generator can be more efficient than a table of random digits.

Learn how to select a simple random sample of students from a class of 50 using a random number table. This problem involves applying probability concepts and understanding simple random sampling methods. Suitable for Grades 9-12 students.

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