Question

Which of these is an example of systematic random sample?

a.) choosing 10 marbles from a jar containing 40 marbles.
b.) picking out 10 names from a group of 50 students.
c.) picking out the telephone number of every 20th person from a directory.
d.) selecting one card from a deck of 52 well-shuffled cards.

Answer 1

Option c.) picking out the telephone number of every 20th person from a directory represents a systematic random sample.

Step-by-step explanation:

A systematic random sample is a sampling method where each element in the population has an equal chance of being selected and the selection is made at regular intervals.

Based on this definition, the example that best represents a systematic random sample is option c.) picking out the telephone number of every 20th person from a directory. In this case, every 20th person is selected, ensuring that each person in the directory has an equal chance of being chosen.