The age of the labourers working in a factory in years is as follows: 31, 41,…
2016
The age of the labourers working in a factory in years is as follows: 31, 41, 28, 54, 34, 27, 23, 33, 35, 42. The range of their age is
- A.
31 years
- B.
35 years
- C.
23 years
- D.
20 years
Attempted by 4 students.
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Correct answer: A
The range of a data set is one of the simplest measures of statistical dispersion — it is the gap between the two extreme values, defined as Range = Maximum value − Minimum value.
List the given ages: 31, 41, 28, 54, 34, 27, 23, 33, 35, 42.
Identify the maximum age in this list: 54.
Identify the minimum age in this list: 23.
Apply the range formula: 54 − 23 = 31.
Sorting the same ages in ascending order gives 23, 27, 28, 31, 33, 34, 35, 41, 42, 54 — the first and last terms are again 23 and 54, confirming the same difference. So the range of the labourers' ages is 31 years.
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