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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline15,16,21,42,57,66,67,89,97,97,9715, 16, 21, 42, 57, 66, 67, 89, 97, 97, 97\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline15,16,21,42,57,66,67,89,97,97,9715, 16, 21, 42, 57, 66, 67, 89, 97, 97, 97\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is already in ascending order: 15,16,21,42,57,66,67,89,97,97,9715, 16, 21, 42, 57, 66, 67, 89, 97, 97, 97.
  2. Find Median: Find the median of the data set.\newlineSince there are 1111 numbers, the median will be the 66th number (as (11+1)/2=6(11 + 1) / 2 = 6).\newlineThe median is 6666.
  3. Identify Lower Quartile Data: Identify the data set for the lower quartile.\newlineFor the lower quartile, consider the first half of the data set, excluding the median if it is part of the data.\newlineThe first half is 1515, 1616, 2121, 4242, 5757.
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineSince there are 55 numbers in the first half, the lower quartile will be the median of these 55 numbers, which is the 33rd number.\newlineThe lower quartile is 2121.
  5. Identify Upper Quartile Data: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, excluding the median if it is part of the data.\newlineThe second half is 6767, 8989, 9797, 9797, 9797.
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineSince there are 55 numbers in the second half, the upper quartile will be the median of these 55 numbers, which is the 33rd number.\newlineThe upper quartile is 9797.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2121\newlineMedian = 6666\newlineUpper quartile = 9797

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