Jack and his friends are going hiking next week. There are four trails they can hike: Grayson Pass, Giant’s Ridge, Three Summits, and Elderberry. To make a decision, they use a spinner divided into four colors. They spin it 60 times to check the fairness of their model and record the results in this table.Color Times Result Occursgreen 6blue 24yellow 9red 21 The relative frequency of the spinner landing on green is .The relative frequency of the spinner landing on blue is .The relative frequency of the spinner landing on yellow is .The relative frequency of the spinner landing on red is .
Question
Jack and his friends are going hiking next week. There are four trails they can hike: Grayson Pass, Giant’s Ridge, Three Summits, and Elderberry. To make a decision, they use a spinner divided into four colors. They spin it 60 times to check the fairness of their model and record the results in this table.Color Times Result Occursgreen 6blue 24yellow 9red 21 The relative frequency of the spinner landing on green is .The relative frequency of the spinner landing on blue is .The relative frequency of the spinner landing on yellow is .The relative frequency of the spinner landing on red is .
Solution
The relative frequency of an event is calculated by dividing the number of times the event occurs by the total number of trials. In this case, the total number of trials is 60 because the spinner was spun 60 times.
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The relative frequency of the spinner landing on green is calculated as follows: Number of times green occurs = 6 Total number of spins = 60 So, the relative frequency = 6/60 = 0.1
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The relative frequency of the spinner landing on blue is calculated as follows: Number of times blue occurs = 24 Total number of spins = 60 So, the relative frequency = 24/60 = 0.4
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The relative frequency of the spinner landing on yellow is calculated as follows: Number of times yellow occurs = 9 Total number of spins = 60 So, the relative frequency = 9/60 = 0.15
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The relative frequency of the spinner landing on red is calculated as follows: Number of times red occurs = 21 Total number of spins = 60 So, the relative frequency = 21/60 = 0.35
So, the relative frequencies are 0.1 for green, 0.4 for blue, 0.15 for yellow, and 0.35 for red.
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