We appreciate your visit to What is the first quartile value of the data set 104 108 111 114 114 120 122 126 127 134. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The first quartile (Q1) of the data set 104, 108, 111, 114, 114, 120, 122, 126, 127, 134 is 110.25. This value represents the median of the lower half of the dataset.
Step-by-Step Explanation
- Arrange the data in ascending order: The data is already arranged.
- Determine the position of the first quartile (Q1): The first quartile is the median of the lower half of the data. There are 10 data points in total, so the position of Q1 can be found using the formula Q1 position = (N+1)/4, where N is the number of data points. Therefore, Q1 position = (10+1)/4 = 2.75.
- Interpolate to find Q1: Since 2.75 is 3/4 of the way between the 2nd (108) and 3rd (111) data points, we calculate: Q1 = 108 + 0.75 * (111 - 108) = 108 + 0.75 * 3 = 108 + 2.25 = 110.25.
Therefore, the first quartile (Q1) of the data set is 110.25.
Thanks for taking the time to read What is the first quartile value of the data set 104 108 111 114 114 120 122 126 127 134. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
