We appreciate your visit to Here is a data set tex n 117 tex that has been sorted tex begin array r r r r r r r r r. 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 :
To find the 47th percentile of a sorted data set with 117 data points, follow these steps:
1. Determine n: The first step is to note the total number of data points, which is [tex]\( n = 117 \)[/tex].
2. Calculate the rank (position) for the 47th percentile:
- The formula to find the percentile position is [tex]\( P_k = \frac{k}{100} \times n \)[/tex], where [tex]\( k \)[/tex] is the percentile you want to find.
- Here, [tex]\( k = 47 \)[/tex].
- Thus, calculate: [tex]\( \text{Position} = \frac{47}{100} \times 117 = 55.29 \)[/tex].
3. Identify the correct position in the sorted data set:
- Since the position calculated is a decimal (55.29), round it up to find the index of the value representing the 47th percentile. So, we take the 56th value (since you often round up and because positions start from 1).
4. Find the value at this position:
- In the sorted data list, the 56th value is 66.8.
Therefore, the 47th percentile of the data set is 66.8. This means that 47% of the data values are less than or equal to 66.8.
1. Determine n: The first step is to note the total number of data points, which is [tex]\( n = 117 \)[/tex].
2. Calculate the rank (position) for the 47th percentile:
- The formula to find the percentile position is [tex]\( P_k = \frac{k}{100} \times n \)[/tex], where [tex]\( k \)[/tex] is the percentile you want to find.
- Here, [tex]\( k = 47 \)[/tex].
- Thus, calculate: [tex]\( \text{Position} = \frac{47}{100} \times 117 = 55.29 \)[/tex].
3. Identify the correct position in the sorted data set:
- Since the position calculated is a decimal (55.29), round it up to find the index of the value representing the 47th percentile. So, we take the 56th value (since you often round up and because positions start from 1).
4. Find the value at this position:
- In the sorted data list, the 56th value is 66.8.
Therefore, the 47th percentile of the data set is 66.8. This means that 47% of the data values are less than or equal to 66.8.
Thanks for taking the time to read Here is a data set tex n 117 tex that has been sorted tex begin array r r r r r r r r r. 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
