Questions: The scores of the 54 members of a sociology lecture class on a 70-point exam are listed to the right. Use five classes with a uniform class width of 5 points, and use a lower limit of 45 points for the first class to construct a histogram. 606364526058635356 644854645751676049 595148525360586064 525666586659625058 535165626155595262 586153565550566254

The scores of the 54 members of a sociology lecture class on a 70-point exam are listed to the right. Use five classes with a uniform class width of 5 points, and use a lower limit of 45 points for the first class to construct a histogram. 606364526058635356 644854645751676049 595148525360586064 525666586659625058 535165626155595262 586153565550566254
Transcript text: The scores of the 54 members of a sociology lecture class on a 70-point exam are listed to the right. Use five classes with a uniform class width of 5 points, and use a lower limit of 45 points for the first class to construct a histogram. \[ \begin{array}{l} 606364526058635356 \\ 644854645751676049 \\ 595148525360586064 \\ 525666586659625058 \\ 535165626155595262 \\ 586153565550566254 \end{array} \]
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Solution

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Solution Steps

Step 1: Determine the classes

The problem specifies that the histogram must have five classes with a uniform class width of 5, and a lower limit of 45 for the first class. Therefore, the classes are:

  • 45-49
  • 50-54
  • 55-59
  • 60-64
  • 65-69
Step 2: Count the frequencies

Count how many exam scores fall into each class:

  • 45-49: 4
  • 50-54: 15
  • 55-59: 12
  • 60-64: 17
  • 65-69: 6
Step 3: Construct the histogram

Using the classes and frequencies from the previous steps, Option B correctly displays the information.

Final Answer: The correct answer is B.

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