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?\newline1,1,1,1,4,4,5,5,8,9,91, 1, 1, 1, 4, 4, 5, 5, 8, 9, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,1,1,1,4,4,5,5,8,9,91, 1, 1, 1, 4, 4, 5, 5, 8, 9, 9\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: 1,1,1,1,4,4,5,5,8,9,91, 1, 1, 1, 4, 4, 5, 5, 8, 9, 9.
  2. Find Median: Find the median of the data set.\newlineThere are 1111 numbers in the data set, so the median will be the 66th number (since (11+1)/2=6(11 + 1) / 2 = 6).\newlineThe 66th number is 44.\newlineMedian: 44
  3. Identify Lower Quartile: 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 a part of the data.\newlineFirst half is 1,1,1,1,41, 1, 1, 1, 4.\newlineLower quartile data: 1,1,1,1,41, 1, 1, 1, 4
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineThere are 55 numbers in the lower quartile data set, so the lower quartile will be the 33rd number (since (5+1)/2=3(5 + 1) / 2 = 3).\newlineThe 33rd number is 11.\newlineLower quartile: 11
  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 part of the data.\newlineSecond half is 4,5,5,8,9,94, 5, 5, 8, 9, 9.\newlineUpper quartile data: 4,5,5,8,9,94, 5, 5, 8, 9, 9
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineThere are 66 numbers in the upper quartile data set, so the upper quartile will be the average of the 33rd and 44th numbers (since (6/2)=3(6 / 2) = 3).\newlineThe 33rd and 44th numbers are 55 and 55.\newlineAverage of 55 and 55 is 55.\newlineUpper quartile: 55
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 11\newlineMedian = 44\newlineUpper quartile = 55

More problems from Calculate quartiles and interquartile range