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In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartilemedianupper quartile
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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartilemedianupper quartile
- Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the data set .
- Arrange Data Set: Arrange the data set in ascending order, which is already done: .
- Find Median: Find the median of the data set. Since there are numbers, the median is the middle number, which is . Median =
- Identify Lower Quartile Data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. The first half is . Lower quartile data:
- Find Lower Quartile Value: Find the value of the lower quartile. Since there are two numbers, the lower quartile is the average of these two numbers.Lower quartile =
- Identify Upper Quartile Data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. The second half is .Upper quartile data:
- Find Upper Quartile Value: Find the value of the upper quartile. Since there are two numbers, the upper quartile is the average of these two numbers.Upper quartile =
- Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.Lower quartile = Median = Upper quartile =
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