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?\newline58,80,83,90,9258, 80, 83, 90, 92\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline58,80,83,90,9258, 80, 83, 90, 92\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.\newlineThe data set given is: 58,80,83,90,9258, 80, 83, 90, 92\newlineIt is already in ascending order, so no need to rearrange.
  2. Find Median: Find the median of the data set.\newlineSince there are 55 numbers, the median is the middle number.\newlineThe median is the third number in the ordered list: 8383.\newlineMedian =83= 83
  3. Lower Quartile Data: Identify the data set for the lower quartile.\newlineFor the lower quartile, consider the first half of the data set, up to and including the median.\newlineFirst half is 5858, 8080, 8383.\newlineLower quartile data: 5858, 8080
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineSince there are two numbers, the lower quartile is the average of these two numbers.\newlineLower quartile = (58+80)/2(58 + 80) / 2\newlineLower quartile = 138/2138 / 2\newlineLower quartile = 6969
  5. Upper Quartile Data: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, starting with the median.\newlineSecond half is 8383, 9090, 9292.\newlineUpper quartile data: 9090, 9292
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineSince there are two numbers, the upper quartile is the average of these two numbers.\newlineUpper quartile = (90+92)/2(90 + 92) / 2\newlineUpper quartile = 182/2182 / 2\newlineUpper quartile = 9191

More problems from Calculate quartiles and interquartile range