In a population of N = 10 scores, the smallest score is X = 8 and the largest score is X = 20. Using the concept of real limits, what is the range for this population?
a. 11
b. 12
c. 13
d. cannot be determined without more information
20-8 = 12
Ans b
20-8+1=13
To find the range of a population using the concept of real limits, we need to calculate the difference between the largest and smallest scores.
The real limits of a score represent the boundaries of each interval or class interval. In this case, the smallest score is 8, meaning the real limit for the smallest score is 7.5 to 8.5. The largest score is 20, so the real limit for the largest score is 19.5 to 20.5.
Now, we can calculate the range by subtracting the smallest real limit from the largest real limit:
Range = Largest real limit - Smallest real limit
= (19.5 - 20.5) - (7.5 - 8.5)
= 19.5 - 7.5
= 12
Therefore, the range for this population is 12. Hence, the correct answer is b. 12.
To find the range of a population using the concept of real limits, you need to calculate the difference between the largest and smallest scores.
In this case, the smallest score is 8 and the largest score is 20.
To find the real limits, you need to consider that scores are not exact values but rather lie within intervals. The lower real limit of 8 is 7.5, and the upper real limit of 20 is 20.5.
So, the range can be calculated as the difference between the upper real limit and the lower real limit:
Range = Upper Real Limit - Lower Real Limit
= 20.5 - 7.5
= 13
Therefore, the range for this population is 13.
The correct answer is c. 13.