Find the range of: 10, 20, 30, 40, 50.
Answer (2)
Identify the largest value in the data set: 50.
Identify the smallest value in the data set: 10.
Calculate the range by subtracting the smallest value from the largest value: 50 − 10 = 40 .
The range of the data set is 40 .
Explanation
Understanding the Range We are given a set of numbers: 10, 20, 30, 40, 50. Our goal is to find the range of this set. The range is a measure of how spread out the data is, and it's calculated by finding the difference between the largest and smallest values in the set.
Identifying the Largest Value First, we need to identify the largest value in the data set. Looking at the numbers, we can see that the largest value is 50.
Identifying the Smallest Value Next, we need to identify the smallest value in the data set. The smallest value is 10.
Calculating the Range Now, we calculate the range by subtracting the smallest value from the largest value: R an g e = L a r g es t _ v a l u e − S ma ll es t _ v a l u e = 50 − 10 = 40 So, the range of the data set is 40.
Final Answer The range of the data set 10, 20, 30, 40, 50 is 40 .
Examples
Imagine you're tracking the daily high temperatures in your city for a week. The range of these temperatures tells you how much the temperature varied during that week. For example, if the highest temperature was 30 degrees Celsius and the lowest was 20 degrees Celsius, the range would be 10 degrees Celsius. This gives you a quick idea of the temperature fluctuation you experienced during the week. Understanding the range is useful in many real-world scenarios, from weather analysis to financial data analysis.
The range of the numbers 10, 20, 30, 40, and 50 is 40, calculated by subtracting the smallest value (10) from the largest value (50).
;
