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Question
for her science fair project, clare tested the battery life of two brands of batteries. she tracked the amount of time a sample of 10 everburst batteries and 10 bantam bolt batteries powered a small flashlight.
the table shows the median and interquartile range for these samples.
| battery life (hours) | median | interquartile range |
|---|---|---|
| bantam bolt | 6 | 3.5 |
if the samples are representative, what does this data suggest about the battery life of everburst and bantam bolt batteries? complete the paragraph.
everburst batteries typically dropdown bantam bolt batteries, and there is dropdown variability in the battery life of everburst batteries than in the battery life of bantam bolt batteries.
Step1: Analyze Median
The median of Everburst batteries is 8.5 hours, and the median of Bantam Bolt batteries is 6 hours. Since 8.5 > 6, Everburst batteries typically have a longer battery life than Bantam Bolt batteries.
Step2: Analyze Interquartile Range (IQR)
The IQR of Everburst batteries is 1.5 hours, and the IQR of Bantam Bolt batteries is 3.5 hours. A smaller IQR indicates less variability. So, there is less variability in the battery life of Everburst batteries than in Bantam Bolt batteries.
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Everburst batteries typically \(\boldsymbol{\text{last longer than}}\) Bantam Bolt batteries, and there is \(\boldsymbol{\text{less}}\) variability in the battery life of Everburst batteries than in the battery life of Bantam Bolt batteries.