You keep track of the temperatures for two weeks and make a five-number summary of your data. Which box plot shows the data?
68 72 76 80 84 88
68 72 79 86 88
64 68 72 76 80 88
68 72 76 86 88
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To create a five-number summary of your data, you’ll want to find the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values. Let’s take each set of temperatures you provided and create their summaries.
1. Data Set 1: 68, 72, 76, 80, 84, 88
– Minimum: 68
– Q1: Average of 68 and 72 = 70
– Median: Average of 76 and 80 = 78
– Q3: Average of 84 and 88 = 86
– Maximum: 88
2. Data Set 2: 68, 72, 79, 86, 88
– Minimum: 68
– Q1: Average of 68 and 72 = 70
– Median: 79
– Q3: Average of 79 and 86 = 82.5
– Maximum: 88
3. Data Set 3: 64, 68, 72, 76, 80, 88
– Minimum: 64
– Q1: Average of 68 and 72 = 70
– Median: Average of 72 and 76 = 74
– Q3: Average of 80 and 88 = 84
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