Math Problem Statement

What is the sample size for this data set based on the histogram provided?

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

2+4+8+10+6+2+1=332 + 4 + 8 + 10 + 6 + 2 + 1 = 33

Conclusion:

The total sample size (nn) is: n=33n = 33

Let me know if you'd like a detailed explanation or assistance with any related questions.

Questions for Further Exploration:

  1. What is the relative frequency of each bin?
  2. How can you calculate the mean amount of sugar using the histogram?
  3. What is the mode of the data based on this histogram?
  4. How do you calculate the median from a histogram?
  5. 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