Questions: Classes Frequency 50-57 3 58-65 5 60-73 4 74-81 3 82 - 89 25 5 15

Classes Frequency 
50-57 3 
58-65 5 
60-73 4 
74-81 3 
82 - 89 25 
5 15
Transcript text: Classes & Frequency \\ $50-57$ & 3 \\ $58-65$ & 5 \\ $60-73$ & 4 \\ $74-81$ & 3 \\ 82 & -89 & 25 \\ & 5 & 15 \\
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Solution

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Solution Steps

Step 1: Calculate the Frequencies
  • The table provides the relative frequencies for each class.
  • To find the actual frequencies, multiply the relative frequency by the total number of observations.
  • Assume the total number of observations is 20 (since the relative frequencies sum to 1).

| Classes | Relative Frequency | Frequency | |---------|--------------------|-----------| | 50 - 57 | 0.15 | 3 | | 58 - 65 | 0.25 | 5 | | 66 - 73 | 0.20 | 4 | | 74 - 81 | 0.15 | 3 | | 82 - 89 | 0.25 | 5 |

Step 2: Verify the Frequencies
  • Sum the frequencies to ensure they match the total number of observations.
  • \(3 + 5 + 4 + 3 + 5 = 20\), which matches the assumed total.
Step 3: Identify the Correct Histogram
  • Compare the calculated frequencies with the histograms provided.
  • The correct histogram should have bars corresponding to the frequencies: 3, 5, 4, 3, and 5.

Final Answer

  • The correct histogram is the second one, as it matches the calculated frequencies for each class.
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