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?\newline1,2,3,3,3,5,5,7,7,81, 2, 3, 3, 3, 5, 5, 7, 7, 8\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,2,3,3,3,5,5,7,7,81, 2, 3, 3, 3, 5, 5, 7, 7, 8\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange and Find Median: Arrange the data set in ascending order and find the median.\newlineThe data set is already in ascending order: 1,2,3,3,3,5,5,7,7,81, 2, 3, 3, 3, 5, 5, 7, 7, 8.\newlineSince there are 1010 numbers, the median will be the average of the 55th and 66th numbers.\newlineMedian: (3+5)/2=8/2=4(3 + 5) / 2 = 8 / 2 = 4.
  2. 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.\newlineFirst half is 1,2,3,3,31, 2, 3, 3, 3.\newlineLower quartile data: 1,2,3,3,31, 2, 3, 3, 3.
  3. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 1,2,3,3,31, 2, 3, 3, 3.\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is the median of the first half, which is the 33rd number: 33.
  4. 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.\newlineSecond half is 5,5,7,7,85, 5, 7, 7, 8.\newlineUpper quartile data: 5,5,7,7,85, 5, 7, 7, 8.
  5. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 5,5,7,7,85, 5, 7, 7, 8.\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is the median of the second half, which is the 33rd number: 77.
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 33\newlineMedian = 44\newlineUpper quartile = 77

More problems from Calculate quartiles and interquartile range