Math Problem Statement
Solution
To calculate the sample size for the given dataset, we need to sum up the frequencies in the histogram. Here's the step-by-step process:
Step 1: Extract frequencies from the histogram
From the histogram, the frequencies corresponding to each bin (amount of sugar in mg) are:
- 140–142: 2
- 142–144: 4
- 144–146: 8
- 146–148: 10
- 148–150: 6
- 150–152: 2
- 152–154: 1
Step 2: Add up all the frequencies
Conclusion:
The total sample size () is:
Let me know if you'd like a detailed explanation or assistance with any related questions.
Questions for Further Exploration:
- What is the relative frequency of each bin?
- How can you calculate the mean amount of sugar using the histogram?
- What is the mode of the data based on this histogram?
- How do you calculate the median from a histogram?
- What is the range of sugar values in this dataset?
Tip:
Always verify that all frequencies add up to match the total sample size when analyzing histograms.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Histograms
Formulas
Sum of frequencies to find sample size
Theorems
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Suitable Grade Level
Grades 6-8
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