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Step-by-Step Guidance for Introductory Statistics Multiple Choice Review

스터디 가이드 - 스마트 노트

자료에 맞춘 맞춤형 노트, 핵심 정의, 예시, 맥락을 확장해 제공합니다.

Q14. The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

Background

Topic: Frequency Distributions and Histograms

This question tests your ability to interpret a histogram and understand how to calculate the total sample size from frequency data.

Histogram showing frequency of number of TV sets per household

Key Terms:

  • Frequency: The number of occurrences of each value (in this case, the number of households with a certain number of TV sets).

  • Histogram: A graphical representation of the distribution of numerical data.

Step-by-Step Guidance

  1. Examine the histogram and identify the frequency for each category (number of TV sets).

  2. List the frequencies for each bar: for 1 TV set, 2 TV sets, 3 TV sets, 4 TV sets, and 5 TV sets.

  3. Add up the frequencies for all categories to find the total number of households represented in the histogram.

  4. Set up the addition:

Try solving on your own before revealing the answer!

Final Answer: 95 households

By reading the histogram, the frequencies are: 20 (1 TV), 50 (2 TVs), 15 (3 TVs), 10 (4 TVs), and 5 (5 TVs). Adding these gives households.

The total number of households is the sum of all frequencies shown in the histogram.

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