Question No. 37
If the highest value and lowest value
in a data set are 75 and 25 respectively,
what would be value of coefficient of
range?
Answer
A. 0.75
B.
0.50
C. 0.25
D. 1.00
Answers
Answer:
Option B - 0.5
Explanation:
Coefficient of range is given by - Highest number - Lowest number / Highest number + Lowest number .
Here we have :
Highest number = 75
Lowest number = 25
Coefficient of range = 75-25/75 + 25 = 50/100 = 1/2 = 0.5
(B) 0.5
The Coefficient of range is the ratio of the difference between the highest value and lowest value of frequency to the sum of the highest value and lowest value of frequency. In this question, the highest value and lowest value in data are 75 and 25 respectively. To calculate the coefficient of range:
= Highest value (H) - Lowest value (L) / Highest value (H) + Lowest value (L)
= 75 - 25 / 75 + 25
= 50 / 100
= 0.5
The value of the coefficient of range for 75 and 25 as the highest and the lowest value in the data respectively will be 0.5. So option (b) is correct.