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The mean of 5, 10, 15, 20, 25 is:
15
10
20
12.5
15
Since the given numbers form an Arithmetic Progression (AP) with a common difference of 5, the mean is simply the middle term of the sequence.
The given observations are 5, 10, 15, 20, 25 and the total number of observations is 5.
Mean=nтИСxiтАЛтАЛ
Since the given numbers form an Arithmetic Progression (AP) with a common difference of 5, the mean is simply the middle term of the sequence.
Students often divide the sum by the wrong number of terms or incorrectly compute the sum of the observations.
Identify the given observations and total count
We are given n=5 observations: 5,10,15,20,25.
n=5
Apply the formula for mean
The mean of a dataset is given by the sum of all observations divided by the total number of observations.
Mean=55+10+15+20+25тАЛ
Calculate the sum
Summing the values in the numerator gives 5+10+15+20+25=75.
Sum=75
Compute the final result
Divide the sum by the number of observations to find the mean: 575тАЛ=15.
Mean=575тАЛ=15
A is correct because the calculated mean of the given numbers is 15.
Understanding properties of arithmetic progressions can help quickly find statistical measures like mean and median without lengthy calculations in quantitative aptitude tests.
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