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For a data set of marks 10,12,15,18,20, what is the range of the data set?
8
10
12
15
10
Identify the largest and smallest numbers by a quick scan and subtract them mentally without reordering the entire list.
A data set of marks: 10, 12, 15, 18, 20
Range=Maximum┬аValueтИТMinimum┬аValue
Identify the largest and smallest numbers by a quick scan and subtract them mentally without reordering the entire list.
Students often misidentify the range as the mean or median, or incorrectly perform the calculation by subtracting non-extreme values like 18тИТ12.
Identify extremes
From the given data set {10,12,15,18,20}, observe the maximum and minimum values.
Max=20,Min=10
Apply formula
Substitute the identified maximum and minimum values into the range formula.
Range=20тИТ10
Calculate result
Perform the final subtraction to find the value of the range.
Range=10
B is correct because the difference between the maximum value (20) and the minimum value (10) is 10.
The range is the simplest measure of dispersion; understand this to better grasp more complex concepts like standard deviation and variance, which are also measures of spread.