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make a histogram for the data below. (dont forget to label each axis an…

Question

make a histogram for the data below. (dont forget to label each axis and give your title)
you asked 30 students at lunch how many hours of television they watched during a (including weekends)
i started it for you. you need to complete it.
which ranges had the same frequency?
how many students watch less than 15 hours of television during the school week?
what general conclusions could you make from looking at this data. (write at least 3 comple sentences.)

Explanation:

Step1: Count frequencies for each range

  • For \(9 - 11\): Count the numbers \(9,10,10,11\). Frequency \(= 4\)
  • For \(12 - 14\): Count \(12,14,14\). Frequency \(= 3\)
  • For \(15 - 17\): Count \(15,15,15,15,17,17\). Frequency \(= 6\)
  • For \(18 - 20\): Count \(18,18,19,20\). Frequency \(= 4\)

Step2: Find same - frequency ranges

  • \(0 - 2\), \(3 - 5\), \(6 - 8\) all have frequency \(= 1\) (assuming the initial counts are correct from the start of the problem setup). \(9 - 11\) and \(18 - 20\) have frequency \(= 4\)

Step3: Calculate students watching less than 15 hours

  • Sum frequencies of \(0 - 2\), \(3 - 5\), \(6 - 8\), \(9 - 11\), \(12 - 14\)
  • \(1 + 1+1 + 4+3=10\)

Step4: Make general conclusions

  • Most students (if we assume the highest frequency range is a measure of'most') in some ranges. For example, if \(15 - 17\) has a relatively high frequency, we can say a significant number of students watch \(15 - 17\) hours.
  • There are multiple ranges with the same frequency (e.g., \(0 - 2\), \(3 - 5\), \(6 - 8\) and \(9 - 11\), \(18 - 20\))
  • The data is spread across different hour - ranges, showing variability in television - watching habits

Answer:

  • Ranges with the same frequency: \(0 - 2\), \(3 - 5\), \(6 - 8\) (frequency \(= 1\)) and \(9 - 11\), \(18 - 20\) (frequency \(= 4\))
  • Students watching less than 15 hours: \(10\)
  • General conclusions:
  • There are multiple ranges with equal frequencies.
  • The data shows a spread in television - watching hours among students.
  • Some ranges (e.g., \(15 - 17\) if it has a relatively high frequency) have a notable number of students.