GATE CS 2014 Set 2 — Question 4
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
What is the average of all multiples of 10 from 2 to 198?
Correct answer
(B) 100
Solution
The multiples of 10 from 2 to 198 are: .This sequence forms an Arithmetic Progression (A.P.) where:
First term,
Last term, The average of an arithmetic progression is given by the formula:Substituting the values:Alternatively, we can find the number of terms and the sum:
Number of terms
Sum
Average
First term,
Last term, The average of an arithmetic progression is given by the formula:Substituting the values:Alternatively, we can find the number of terms and the sum:
Number of terms
Sum
Average
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