How to Make Inferences from Data

How to Make Inferences from Data

In this article, you will learn how to make inferences from data in a few simple steps.

Step by step guide to Make Inferences from Data

In the research process, after collecting data, the next step involves analyzing the data. The statistical analysis process helps the researcher to extract the required information from the initial data and to generalize the results if necessary. ‌Analyzing information as part of the process of the scientific research method is one of the basic foundations of any study and research. The first step you need to do after collecting data is to review and process the collected data so that you can apply statistical analysis to it.

To inference data the following steps should be taken:

  • Organize data and order from least to greatest.
  • Then find the least and greatest values, the median and the lower and upper quartiles.
  • Calculate the upper and lower quartile by medians of each “half” of the number line that includes all the data.
  • Then you should draw a number line that includes all the data values
  • In the next step, you should plot a point for each of the values found.
  • From the lower to upper quartile, draw a box. Inside the box, draw a vertical line through the median.
  • In the last step, you should draw the whiskers by connecting the least and greatest values to the box.

Median: This statistical index shows the value that is in the middle of the data. It is known that \(50%\) of the data is smaller or larger than this value. This indicator is drawn by a vertical line inside the box.

Lower Quartile \(Q1\): This indicator shows a value that is \(25%\) smaller than the data. On the other hand, this value can be considered as the middle of the data that are between the smallest value and the middle. This value is formed by a vertical line on the left side of the box.

Upper Quartile \(Q3\): This indicator shows a value that is \(75%\) of data is smaller than this value. On the other hand, this value can be considered as the middle of the data that is between the largest value and the middle. the indicator is made by a vertical line on the right side of the box.

Intermediate-range \(IQR\): The distance between the lower and upper Quartile is indicated by this index. The length of the other sides of the box is determined by this indicator.

whiskers: These lines fill the space between the lower Quartile and the minimum value as well as the maximum value.

Making Inferences from Data Example 1:

The number of pets owned by a random sample of students at park middle school is shown below. Use data to make a box plot. How many pets does every student have?

\(2, 4, 1, 5, 9, 4, 2, 11, 6\)

Solution: order the data from least to greatest. \(1, 2, 2, 4, 4, 5, 6, 9, 11\)

Then find the least and greatest values, the median and the lower and upper quartiles. The lower and upper quartiles can be calculated by finding the medians of each “half” of the number line that includes all the data. Draw a number line that includes all the data values. Plot a point for each of the values found.

Draw a box from the lower to upper quartile. Inside the box, draw a vertical line through the median. Finally, draw the whiskers by connecting the least and greatest values to the box.

Almost every student has at least 1 pet.

Making Inferences from Data Example 2:

Jack collected a random sample of 130 women regarding woman’s color bag preference for his new bag business. Make an inference from the data.

SampleBlack BagGreen BagBlue BagTotal
#1292774130

Solution: Inference: According to the table above, most people prefer Blue bags.

Exercises for Making Inferences from Data

Answer the following problems.

1) Draw a box plot for the data set: {\(1, 6, 9, 2, 6, 6, 5, 8, 1, 9 , 4\)}

2) Management wants to open a cafeteria in the office building. So they collected data from a random sample of 50 employees regarding employee’s office lunch preference? Make at least two inferences based on the result.

SampleCheesesteakCorn DogSandwichTotal
#1251263100

3) Use the given data to make a box plot. {\(14, 5, 15, 7, 8, 11, 13, 14, 6\)}

1)

2) Most employees prefer Sandwich.

Corn Dog is not very popular

3)

Related to "How to Make Inferences from Data"

7 Best Headphones for Online Lessons
7 Best Headphones for Online Lessons
Top 20 Math Websites for Virtual Learning
Top 20 Math Websites for Virtual Learning
Math Skills You Need for the GED Math Test
Math Skills You Need for the GED Math Test
Top Ten Cameras for Classroom Recording
Top Ten Cameras for Classroom Recording
Top 6 Travel-Friendly Teaching Supplies for your Portable Classroom
Top 6 Travel-Friendly Teaching Supplies for your Portable Classroom
List Of the Best Middle School Math Supply for Learning
List Of the Best Middle School Math Supply for Learning
Top Math Websites for Virtual Learning
Top Math Websites for Virtual Learning
Best Blue Light Glasses for Teachers and Students
Best Blue Light Glasses for Teachers and Students
What Skills Do I Need for the ASVAB Math Subtests?
What Skills Do I Need for the ASVAB Math Subtests?
What Skills Do I Need for the SAT Math Test?
What Skills Do I Need for the SAT Math Test?

Leave a Reply

36% OFF

Download Instantly

X

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…