# The mean of 10 observation is 48 if each observation in the data is increased by10%what will be mean of dat)a

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No.of observations=10

Let the terms be x₁,x₂,x₃......x₄₈

mean = sum of terms/no.of terms

48 = x₁+x₂+x₃+......+x₁₀/10

10*48=x₁+x₂+x₃+......+x₁₀

480=x₁+x₂+x₃+......+x₁₀

If each term is increased by 10%,the new terms will be:

1.1x₁,1.1x₂,1.1x₃,......1.1x₁₀

New mean=Sum of terms/no.of terms

=1.1x₁+1.1x₂+1.1x₃+......+1.1x₁₀/10

=(x₁+x₂+x₃+......+x₁₀)1.1*10/10

=480*1.1=528/10=52.8

New mean=52.8