Research methodsLesson 2 of 2 in the course Sampling and Data

Systematic Sampling and Relative Frequency Tables

5 flashcards · 5 quiz questions · 5 match pairs · 5 fill-in sentences · English

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Summary

This lesson follows a classroom experiment about how many movies students saw at the theater last month, excluding rented movies. You will learn how to collect data using systematic sampling, summarize the results in relative frequency tables, and choose a useful grouping to answer questions about the data.

First, ask five classmates from a different class how many movies they saw at the theater last month. Do not include rented movies. Record each answer as one data value. These five observations provide the data associated with a student on the class list.

All flashcards

Systematic sampling
Selecting members at a consistent interval after choosing a starting point.
Frequency
The number of observations that fall into a category.
Relative frequency
A category's frequency divided by the total number of observations.
Cumulative relative frequency
The running sum of relative frequencies through the current category.
Grouped category
A range, such as 2–3, that combines multiple individual response values.

Quiz questions

  1. A researcher randomly selects a starting name on a list, then selects names at a consistent interval. What sampling method is being used?Answer: Systematic sampling
  2. Twelve selected students each provide five data values. How many data values are collected in total?Answer: 60 data values
  3. How do you calculate the relative frequency of a category?Answer: Divide the category's frequency by the total number of observations.
  4. An individual-value table lists 0, 1, 2, 3, 4, 5, 6, and 7+ separately. A grouped table uses 0–1, 2–3, 4–5, and 6–7+. Which table can determine exactly the percentage of responses at most two movies?Answer: The individual-value table, because it separates 2 from 3.
  5. A grouped table has ordered categories 0–1, 2–3, 4–5, and 6–7+. What does the cumulative relative frequency through 2–3 represent?Answer: The proportion of responses from 0 through 3.

Based on Introductory Statistics 2e by Barbara Illowsky, Susan Dean (OpenStax), licensed CC BY 4.0. Adapted into a summary, flashcards and quizzes.

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