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Statistical Methods in Economics
Notes Answer: The range for the above data is Rs. 1,20,000 per year and the coefficient of range is
0.66.
Range in Discrete Series
Example 4 : Find out absolute and relative measure of range in the following distribution:
Scores Frequency
2 6
3 7
4 3
5 11
6 4
7 2
8 5
9 8
10 3
Solution: Absolute Measure of Range = L – S
= 10 – 2 = 8
L – S
Relative Measure =
L + S
10 – 2 8
= = = 0.666
+
10 2 12
Example 5: Calculate Coefficient of Range of the following series:
Size Frequency
2.5 7
3.5 1
4.5 3
5.5 5
6.5 4
7.5 9
8.5 8
9.5 11
10.5 4
Solution : L = 10.5
S = 2.5
L – S 10.5 – 2.5 8
Coefficient of Range = = = = 0.615
+
L + S 10.5 2.5 13
Range in Continuous Series
Range can be calculated by the following two methods:
(1) Class mark of the highest class – class mark of the lowest class.
(2) Upper class boundary of the highest class – lower class boundary of the lowest class.
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