The ages (in year) of 10 teachers of a school are 32, 41, 28, 54, 35, 26, 23, 33, 38 and 40. What is the range of the ages of the teachers ?
31 years
The range of a data set is a simple measure of dispersion: Range = Highest value − Lowest value.
Step 1 — Arrange the ages in ascending order: 23, 26, 28, 32, 33, 35, 38, 40, 41, 54.
Step 2 — Highest age = 54 years and lowest age = 23 years.
Step 3 — Range = 54 − 23 = 31 years.
The value 30 years comes from a subtraction slip, while 15 and 25 years do not correspond to the difference between the extreme values of this data.
31 years option is correct.
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