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Calculate the range of the data set: 15, 22, 10, 35, 48, 5.
43
45
48
50
43
Scan the set for the highest number (48) and the lowest number (5) instantly, then subtract them mentally to get 43.
A data set of observations: 15, 22, 10, 35, 48, 5.
Range=XmaxтАЛтИТXminтАЛ
Scan the set for the highest number (48) and the lowest number (5) instantly, then subtract them mentally to get 43.
Students often misidentify the smallest number by missing the single-digit value 5 or by confusing range with mean or median.
Identify extreme values
Look at the given data set {15, 22, 10, 35, 48, 5} to find the maximum value (XmaxтАЛ) and the minimum value (XminтАЛ).
XmaxтАЛ=48,XminтАЛ=5
Apply Range formula
Subtract the minimum value from the maximum value to determine the spread of the data.
Range=48тИТ5
Final calculation
The difference between 48 and 5 is 43, which represents the range of the given data set.
Range=43
A is correct because the difference between the largest value (48) and the smallest value (5) in the data set is 43.
The range is the simplest measure of dispersion; while easy to calculate, it is highly sensitive to outliers, unlike the Interquartile Range (IQR).
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