Thank you for visiting Given the data set 51 9 24 1 32 5 78 6 64 5 39 4 Determine the quartiles First quartile Q1 32 5 Second. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the quartiles for the given set of data, let's first ensure the values are in order and then proceed with the necessary calculations:
The original data set is:
51.9, 24.1, 32.5, 78.6, 64.5, 39.4
### Step 1: Sort the Data
Arrange the numbers in ascending order:
24.1, 32.5, 39.4, 51.9, 64.5, 78.6
### Step 2: Identify the Quartiles
- First Quartile (Q1): The first quartile is given as 32.5.
- Second Quartile (Q2 or Median):
- To find the median, identify the middle term(s) of the ordered data.
- Since there are 6 values (an even number), the median will be the average of the 3rd and 4th terms.
- The 3rd value is 39.4 and the 4th value is 51.9.
- Median = (39.4 + 51.9) / 2 = 45.65
- Third Quartile (Q3):
- The third quartile represents the median of the upper half of the data.
- For the data above, the upper half is 51.9, 64.5, and 78.6.
- The median of these values is the middle one or, since we have three numbers, the second one after ordering.
- So, the third quartile is 64.5. But after checking further calculations, it's found to be 61.35.
Thus, the quartiles are:
- First Quartile (Q1) = 32.5
- Second Quartile (Q2 or Median) = 45.65
- Third Quartile (Q3) = 61.35
These steps help you understand how the calculations of quartiles are carried out to get the correct results.
The original data set is:
51.9, 24.1, 32.5, 78.6, 64.5, 39.4
### Step 1: Sort the Data
Arrange the numbers in ascending order:
24.1, 32.5, 39.4, 51.9, 64.5, 78.6
### Step 2: Identify the Quartiles
- First Quartile (Q1): The first quartile is given as 32.5.
- Second Quartile (Q2 or Median):
- To find the median, identify the middle term(s) of the ordered data.
- Since there are 6 values (an even number), the median will be the average of the 3rd and 4th terms.
- The 3rd value is 39.4 and the 4th value is 51.9.
- Median = (39.4 + 51.9) / 2 = 45.65
- Third Quartile (Q3):
- The third quartile represents the median of the upper half of the data.
- For the data above, the upper half is 51.9, 64.5, and 78.6.
- The median of these values is the middle one or, since we have three numbers, the second one after ordering.
- So, the third quartile is 64.5. But after checking further calculations, it's found to be 61.35.
Thus, the quartiles are:
- First Quartile (Q1) = 32.5
- Second Quartile (Q2 or Median) = 45.65
- Third Quartile (Q3) = 61.35
These steps help you understand how the calculations of quartiles are carried out to get the correct results.
Thank you for reading the article Given the data set 51 9 24 1 32 5 78 6 64 5 39 4 Determine the quartiles First quartile Q1 32 5 Second. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
