Question

3. What are the identification numbers for ten students chosen at random from a population of 78 students based on the following string of random digits? Start at the left.

27816 78416 01822 73521 37741 016312 68000 53645 56644 97892 63408 77919 44575

Answer 1

27 67 16 01 27 35 21 37 74 10

Explanation:

Starting from the left, you pick two numbers together and skip two numbers if it is greater than 78.

Meaning:

27816 78416 01822 73521 37741 016312 68000 53645 56644 97892 63408 77919 44575

You pick [27] and leave 81 since it is greater than 78, the population number.

Then you pick [67] and leave 84 as it is also greater than 78.

Then you pick [16] and [01] but leave 82, as it is greater than 78.

Then pick [27], [35], [21], [37], [74] and [10] since they are all less than 78.

At this juncture, you have identified 10 numbers: 27 67 16 01 27 35 21 37 74 10