Math Problem Statement
Solution
In the image, the problem involves summarizing and visualizing data about maintenance activities commonly done at the start of summer. Here's a breakdown of the problem:
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Frequency Table: The table displays the frequency and relative frequency of people who completed 0 to 5 maintenance tasks. For 30 respondents, the data is summarized as follows:
Number Frequency Relative Frequency 0 6 20% 1 5 17% 2 5 17% 3 6 20% 4 4 13% 5 4 13% The relative frequencies are rounded to the nearest integer percentage and sum up to approximately 100%.
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Histogram Selection: The question asks to choose the correct histogram based on the frequency data provided. Observing the frequency values for each activity count (0 to 5), the correct histogram should show:
- Highest bars at 0 and 3 (frequency of 6 each),
- Moderate bars at 1 and 2 (frequency of 5 each),
- Lower bars at 4 and 5 (frequency of 4 each).
Based on this, Option A seems to best match the frequencies given in the table.
Would you like further details on interpreting this data or creating the histogram?
Related Questions
- How do you calculate relative frequency from raw frequency?
- What are some common uses of histograms in data analysis?
- Why is it important to round relative frequencies to the nearest integer?
- What other types of charts could represent this data effectively?
- How could this data be used to make decisions about seasonal tasks?
Tip
For constructing histograms, make sure each bar accurately represents the frequency for each category to avoid misinterpretation.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Relative Frequency
Data Visualization
Formulas
Relative Frequency = (Frequency / Total Number of Observations) x 100%
Theorems
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Suitable Grade Level
Grades 9-12
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