The relative humidities, expressed in percentages, of a city over a certain month are listed as follows:74, 92, 78, 70, 84, 75, 91, 78, 96, 87, 95, 79, 82, 89, 72, 92, 70, 75, 82, 83, 87, 90, 93, 85, 80, 78, 74, 76, 79, 82.If the width of the class interval is taken as 5, then which of the following frequency tables represents the given data?aRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 490–94 595–100 3 bRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 685–89 490–94 595–100 2cRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 490–94 695–100 3 dRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 590–94 595–100 2
Question
The relative humidities, expressed in percentages, of a city over a certain month are listed as follows:74, 92, 78, 70, 84, 75, 91, 78, 96, 87, 95, 79, 82, 89, 72, 92, 70, 75, 82, 83, 87, 90, 93, 85, 80, 78, 74, 76, 79, 82.If the width of the class interval is taken as 5, then which of the following frequency tables represents the given data?aRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 490–94 595–100 3 bRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 685–89 490–94 595–100 2cRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 490–94 695–100 3 dRelative Humidity (Percentage) Number of Days70–74 675–79 880–84 485–89 590–94 595–100 2
Solution
To answer this question, we need to count the number of days that fall within each class interval. The class intervals are 70-74, 75-79, 80-84, 85-89, 90-94, and 95-100.
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Count the number of days with relative humidity between 70 and 74: There are 3 days (74, 70, 74).
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Count the number of days with relative humidity between 75 and 79: There are 8 days (78, 75, 78, 79, 75, 78, 76, 79).
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Count the number of days with relative humidity between 80 and 84: There are 5 days (84, 82, 82, 83, 82).
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Count the number of days with relative humidity between 85 and 89: There are 4 days (87, 89, 85, 87).
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Count the number of days with relative humidity between 90 and 94: There are 5 days (92, 91, 92, 90, 93).
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Count the number of days with relative humidity between 95 and 100: There are 3 days (96, 95, 95).
So, the correct frequency table is:
Relative Humidity (Percentage) Number of Days 70–74 3 75–79 8 80–84 5 85–89 4 90–94 5 95–100 3
This corresponds to option (d).
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