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Find the missing observations from the given mean and variance

This type of question, asked 5 times: 4 May 2023 S2, 10 May 2023 S2, 15 May 2023 S1, 16 May 2023 S2, 9 May 2024 S2. All 5 questions below, oldest first.

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  1. Question 1

    4 May 2023 S2

    143
    The mean and variance of seven observations are 8 and 16 respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the square root of product of remaining two observations is

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  2. Question 2

    10 May 2023 S2

    132
    The mean and variance of 7 observations are 8 and 16 respectively. If first five observations are 2, 4, 10, 12, 14, then absolute difference of remaining two observations is

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  3. Question 3

    15 May 2023 S1

    149
    The mean of the numbers a,b,8,5,10a,b,8,5,10 is 6 and the variance is 6.8. Then which of the following gives possible values of aa and bb?

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  4. Question 4

    16 May 2023 S2

    118
    The mean and variance of seven observations are 8 and 16 respectively. If five of the observations are 2, 4, 10, 12, 14, then the product of remaining two observations is

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  5. Question 5

    9 May 2024 S2

    107
    If the mean and S.D. of the data 3,5,7,a,b3, 5, 7, a, b are 5 and 2 respectively, then aa and bb are the roots of the equation

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