Question - Calculating Quartiles from Sorted Data Set
Solution:
The image shows a list of numbers, which we'll assume is a data set that is sorted in ascending order. The task is to find the lower quartile, median, and upper quartile of the data.First, let's count how many data points there are:13, 25, 34, 37, 45, 47, 52, 56, 58, 66, 81There are 11 numbers in this data set. The median is the middle number when the data is ordered from least to greatest, which is the (11 + 1) / 2 = 6th number. Therefore, the median is the value of the 6th data point, which is 47.To find the quartiles, we will look at the data below and above the median:Lower half (excluding the median): 13, 25, 34, 37, 45Upper half (excluding the median): 52, 56, 58, 66, 81Each half has 5 numbers. The lower quartile (Q1) is the median of the lower half, and the upper quartile (Q3) is the median of the upper half.For 5 numbers, the median will be the 3rd number in order (since it's the middle number): (5 + 1) / 2 = 3rd number.For the lower half: The lower quartile (Q1) is the 3rd data point of the lower half, which is 34.For the upper half: The upper quartile (Q3) is the 3rd data point of the upper half, which is 58.So the answers are:- Lower quartile = 34- Median = 47- Upper quartile = 58
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com