mean of twenty observations is 15. if two observations 3and14 are replaced by 8and9, then the new mean will be-​

Question

mean of twenty observations is 15. if two observations 3and14 are replaced by 8and9, then the new mean will be….​

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Rylee 4 weeks 2021-10-01T21:57:05+00:00 2 Answers 0 views 0

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    0
    2021-10-01T21:58:16+00:00

    Answer:

    • New mean will also be 15

    Explanation:

    Given that, mean of twenty observations is 15

    therefore,

    • mean = 15
    • no. of observation = 20
    • and, Let Sum of all observations be x

    So,

    using formula ;

    • mean = sum of all observations / total number of observations

    → 15 = x / 20

    x = 300

    Now, as given that, 3 and 14 are replaced by 8 and 9

    therefore,

    → New mean = [ x – ( 3 + 14 ) + ( 8 + 9 ) ] / 20

    → new mean = [ x – 17 + 17 ] / 20

    → new mean = [ 300 ] / 20

    New mean = 15

    therefore,

    • New mean of twenty observations, when 3 and 14 are replaced by 8 and 9 will also be 15 .
    0
    2021-10-01T21:59:04+00:00

    \huge{\mathcal{\underline{\green{SOLUTION}}}}

    Mean of twenty observations is 15

    So the sum = 20 \times 15 = 300

    Now two observations 3 & 14 are replaced by 8 & 9

    So the new sum

     = 300 - (3 + 14) + (8 + 9) = 300

    Since the sum remains the same as before

    Hence the required mean is same as before & it is =  \frac{300}{20}  = 15

    \displaystyle\textcolor{red}{Please \:  Mark \:  it  \: Brainliest}

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