Question

Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.

Assign a number to each student in your class from 1 to 30. You can do this alphabetically or by seat number, for example.

Answer 1

To perform a random selection of 10 students from a class of 30, assign each student a number from 1 to 30, then use a table of random numbers or a random number generator to select 10 unique numbers, corresponding to the students.

Step-by-step explanation:

To randomly select 10 students from a class of 30 using a random number table, follow these steps:

1. Assign a unique number from 1 to 30 to each student. This could be based on their alphabetical order, seat arrangement, or any other arbitrary method.
2. Obtain a table of random numbers or use a random number generator.
3. Starting at a random point in the table, read off two-digit numbers. Since we have 30 students, numbers between 01 and 30 will be valid; ignore any number above 30.
4. As you come across valid numbers, check them against your list and select the corresponding students. Ensure you do not repeat any numbers; each student should only be counted once.
5. Repeat this process until you have selected 10 unique students.

If the list of random numbers runs out, you can either start again from the beginning of the table or generate more numbers as needed. Always avoiding repeats and biases.