Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the data set below, what are the lower quartile, the median, and the upper quartile?\newline19,19,24,24,33,69,6919, 19, 24, 24, 33, 69, 69\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline19,19,24,24,33,69,6919, 19, 24, 24, 33, 69, 69\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 19,19,24,24,33,69,6919, 19, 24, 24, 33, 69, 69.
  2. Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 19,19,24,24,33,69,6919, 19, 24, 24, 33, 69, 69.
  3. Find Median: Find the median of the data set. The median is the middle number when the data set is ordered. Since there are 77 numbers, the median is the 44th number: 2424.Median=24\text{Median} = 24
  4. 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 if it is a part of the data. The first half is 1919, 1919, 2424.\newlineLower quartile data: 1919, 1919, 2424
  5. Find Lower Quartile: Find the value of the lower quartile. Since there are 33 numbers in the lower quartile data set, the lower quartile is the middle number: 1919.\newlineLower quartile =19= 19
  6. 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 if it is a part of the data. The second half is 2424, 3333, 6969, 6969.\newlineUpper quartile data: 2424, 3333, 6969, 6969
  7. Find Upper Quartile: Find the value of the upper quartile. Since there are 44 numbers in the upper quartile data set, the upper quartile is the average of the middle two numbers: (33+69)/2=102/2=51(33 + 69) / 2 = 102 / 2 = 51.\newlineUpper quartile = 5151
  8. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 1919\newlineMedian = 2424\newlineUpper quartile = 5151

More problems from Calculate quartiles and interquartile range