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Calculate the mean of: 10, 15, 20, 25, 30
20
22
25
18
20
Since the numbers form an Arithmetic Progression with a common difference of 5, the mean is simply the middle term, which is 20.
The given observations are 10, 15, 20, 25, 30 with a total count of 5 values.
extMean=nтИСxiтАЛтАЛ
Since the numbers form an Arithmetic Progression with a common difference of 5, the mean is simply the middle term, which is 20.
Students often miscount the number of terms or make calculation errors when summing numbers manually.
Identify the Given Data and Formula
List the given observations: x1тАЛ=10,x2тАЛ=15,x3тАЛ=20,x4тАЛ=25,x5тАЛ=30, and the number of observations n=5.
extMean=nтИСxiтАЛтАЛ
Calculate the Sum of Observations
Add all the given values together: тИСxiтАЛ=10+15+20+25+30=100.
10+15+20+25+30=100
Compute the Final Mean
Divide the sum by the total count of observations to find the final value.
extMean=5100тАЛ=20
A is correct because the calculated mean of the given numbers is 20.
Understanding properties of arithmetic progressions helps quickly find averages of equally spaced datasets in quantitative aptitude tests.
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