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Mean or standard deviation from sums of deviations from an assumed value

This type of question, asked 2 times: 16 May 2023 S1, 12 May 2024 S2. All 2 questions below, oldest first.

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  1. Question 1

    16 May 2023 S1

    108
    If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is

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  2. Question 2

    12 May 2024 S2

    149
    For 20 observations of variable xx, if ∑(xi−2)=20\sum(x_i-2)=20 and ∑(xi−2)2=100\sum(x_i-2)^2=100, then the standard deviation of variable xx is

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