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?\newline14,23,63,80,84,84,9614, 23, 63, 80, 84, 84, 96\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline14,23,63,80,84,84,9614, 23, 63, 80, 84, 84, 96\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is already in ascending order: 14,23,63,80,84,84,9614, 23, 63, 80, 84, 84, 96.
  2. Find Median: Find the median of the data set.\newlineThe data set has 77 numbers, so the median is the middle number, which is the fourth number in the sorted list.\newlineMedian: 8080
  3. Identify Lower Quartile: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if the number of data points is odd. First half is 1414, 2323, 6363. Lower quartile data: 1414, 2323, 6363
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 14,23,6314, 23, 63\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is 2323.
  5. Identify Upper Quartile: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, excluding the median if the number of data points is odd.\newlineSecond half is 8484, 8484, 9696.\newlineUpper quartile data: 8484, 8484, 9696
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 84,84,9684, 84, 96\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is 8484.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2323\newlineMedian = 8080\newlineUpper quartile = 8484

More problems from Calculate quartiles and interquartile range