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?\newline37,37,60,80,80,85,9937, 37, 60, 80, 80, 85, 99\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline37,37,60,80,80,85,9937, 37, 60, 80, 80, 85, 99\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: 37,37,60,80,80,85,9937, 37, 60, 80, 80, 85, 99.
  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 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 it is a single number. First half is 3737, 3737, 6060. Lower quartile data: 3737, 3737, 6060.
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 37,37,6037, 37, 60.\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is 3737.
  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 it is a single number.\newlineSecond half is 8080, 8585, 9999.\newlineUpper quartile data: 8080, 8585, 9999.
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 8080, 8585, 9999.\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is 8585.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 3737\newlineMedian = 8080\newlineUpper quartile = 8585

More problems from Calculate quartiles and interquartile range