Math Problem Statement

What is the sample size for this data set?

Solution

To determine the sample size nn for the data set, we need to sum the frequencies of all the bars in the histogram. Observing the histogram:

  • 60-64: Frequency = 1
  • 64-68: Frequency = 2
  • 68-72: Frequency = 7
  • 72-76: Frequency = 12
  • 76-80: Frequency = 8
  • 80-84: Frequency = 5
  • 84-88: Frequency = 4

Now, add up the frequencies:
1+2+7+12+8+5+4=391 + 2 + 7 + 12 + 8 + 5 + 4 = 39

Thus, the sample size nn is 39.

Let me know if you need further clarification or explanations!

Here are related questions you might explore:

  1. What is the mode of this data set?
  2. How would you calculate the mean amount of sugar for this data?
  3. What is the range of the sugar amounts in the data set?
  4. Can you identify which interval has the highest frequency?
  5. How do you calculate the median using a histogram?

Tip: When reading histograms, always sum the frequencies to find the total sample size.

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Math Problem Analysis

Mathematical Concepts

Statistics
Histograms
Frequency Distribution

Formulas

Sample size n = Sum of frequencies

Theorems

Frequency Summation Theorem for Histograms

Suitable Grade Level

Grades 6-8