Math Problem Statement
48.5 49.1 49.5 51.6 52 52 52.3 52.3 52.9 53.1 53.7 53.8 54.3 55 55.3 55.3 55.8 55.9 56 56.6 56.8 57 57.5 58.3 58.4 58.5 58.7 59 59.1 59.4 59.6 59.6 59.9 60.2 60.3 60.5 60.8 61 61.1 61.4 61.5 61.7 61.9 62 62 62.2 62.3 62.7 62.8 63.2 63.3 63.3 63.8 63.9 64 64.1 64.3 64.3 64.6 64.7 64.9 65 65.3 65.7 66.1 66.4 66.6 66.7 66.7 67.1 67.1 67.5 67.8 68 68.3 68.5 68.8 68.9 69.1 69.2 69.3 69.5 69.5 69.5 69.6 69.7 70 70.2 70.6 70.9 70.9 71 71 71 71.4 71.7 71.8 72.6 72.7 73.2 73.7 73.7 73.8 74.1 75 75.3 75.8 76.7 77.5 77.7 78.2 80.2 80.5 83.9 85.6 88 90.9
5 10 15 20 25 length (cm) 45 50 55 60 65 70 75 80 85 90 95 Frequency [Graphs generated by this script: setBorder(54,40,20,15); initPicture(40.5,95,0,28);axes(181.8,5,1,null,5); fill="blue"; stroke="black"; textabs([165,0],"length (cm)","above");line([45,-0.56],[45,0.56]); text([45,0],"45","below");line([50,-0.56],[50,0.56]); text([50,0],"50","below");line([55,-0.56],[55,0.56]); text([55,0],"55","below");line([60,-0.56],[60,0.56]); text([60,0],"60","below");line([65,-0.56],[65,0.56]); text([65,0],"65","below");line([70,-0.56],[70,0.56]); text([70,0],"70","below");line([75,-0.56],[75,0.56]); text([75,0],"75","below");line([80,-0.56],[80,0.56]); text([80,0],"80","below");line([85,-0.56],[85,0.56]); text([85,0],"85","below");line([90,-0.56],[90,0.56]); text([90,0],"90","below");line([95,-0.56],[95,0.56]); text([95,0],"95","below");textabs([0,115],"Frequency","right",90);rect([45,0],[50,3]);rect([50,0],[55,10]);rect([55,0],[60,20]);rect([60,0],[65,28]);rect([65,0],[70,25]);rect([70,0],[75,18]);rect([75,0],[80,7]);rect([80,0],[85,3]);rect([85,0],[90,2]);rect([90,0],[95,1]);]
To find P29, what is the value of the locator? Incorrect
Use the locator, give the value for the 29-Percentile: P29 = Incorrect
Solution
To find the 29th percentile (P29), let's go through the steps.
Step 1: Arrange the Data in Order
It seems the data you provided is already arranged in ascending order.
Step 2: Use the Formula for Percentile Locator
The locator for the percentile is given by: Where:
- (since you want the 29th percentile),
- is the number of data points.
Step 3: Calculate the Number of Data Points
Counting the values from the data set provided, there are 99 data points.
Step 4: Apply the Formula
So, the locator is 29, meaning the 29th data point in the list corresponds to the 29th percentile.
Step 5: Find the 29th Data Point
Looking at the sorted data set, the 29th data point is 58.7.
Thus, the 29th percentile (P29) is 58.7.
Would you like more details or clarifications on this method?
Here are 5 related questions to further explore the topic:
- What is the percentile formula for other percentiles (e.g., P50, P75)?
- How does the interpolation method work when the locator is not an integer?
- What is the difference between a percentile and a quartile?
- How can you calculate the percentile rank of a specific value within a data set?
- How do you interpret the meaning of the 29th percentile in real-world contexts?
Tip: When working with percentiles, if the locator isn't an integer, you usually interpolate between the two closest data points.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Percentile
Descriptive Statistics
Data Ordering
Formulas
Percentile Locator Formula: L = (k/100) × (n + 1)
Theorems
-
Suitable Grade Level
Grades 9-12