Final answer:
To calculate the coefficient of range for the given observations, subtract the smallest value from the largest, then divide the result by the sum of those two values. The coefficient of range for this data set is 0.5.
Step-by-step explanation:
To find the coefficient of range of the observation taken in order of 20, 24, 30, 36, 44, 50, 60, we first need to identify the smallest and largest values in the data set. For this set, the smallest value is 20, and the largest is 60.
The range is calculated by subtracting the smallest value from the largest:
- Range = Largest value - smallest value
- Range = 60 - 20 = 40
The coefficient of range is then found by dividing the difference between the largest and smallest values by the sum of those values, which is calculated as follows:
- Coefficient of Range = (Largest value - smallest value) / (Largest value + Smallest value)
- Coefficient of Range = (60 - 20) / (60 + 20)
- Coefficient of Range = 40 / 80
- Coefficient of Range = 0.5
Therefore, the coefficient of range for the given data set is 0.5.