Question - Calculating Mean, Median, and Interquartile Range
Solution:
In order to solve this question, we need to find the mean, median, and interquartile range of the provided data set:7, 22, 3, 18, 15, 7, 12, 2, 11, 13, 15, 7, 18First, let's sort the numbers in ascending order:2, 3, 7, 7, 7, 11, 12, 13, 15, 15, 18, 18, 22Now we can calculate each measure:Mean:The mean is calculated by adding all the numbers together and dividing by the count of numbers.Mean = (2 + 3 + 7 + 7 + 7 + 11 + 12 + 13 + 15 + 15 + 18 + 18 + 22) / 13Mean = 130 / 13Mean ≈ 10Median:The median is the middle number of the ordered data set. Since there are 13 numbers, the median will be the 7th number.Median = 12Interquartile Range (IQR):IQR is the difference between the third quartile (Q3) and the first quartile (Q1).Since we have 13 numbers, the first quartile Q1 will be the median of the first half:Q1 = median of 2, 3, 7, 7, 7, 11 (which is the average of the 3rd and 4th values):Q1 = (7 + 7) / 2Q1 = 7The third quartile Q3 will be the median of the second half:Q3 = median of 13, 15, 15, 18, 18, 22 (which is the average of the 3rd and 4th values):Q3 = (15 + 15) / 2Q3 = 15IQR = Q3 - Q1IQR = 15 - 7IQR = 8Summary:Mean = ≈10Median = 12Interquartile Range = 8
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com