Mean of a set of 8 observations is 10 and 4
is the mean of a set of 7 observations. The
mean of the combined set is give

Question

Mean of a set of 8 observations is 10 and 4
is the mean of a set of 7 observations. The
mean of the combined set is given by:
(a) 10.8
(b) 7.2
(c) 8.2
(d) 12​

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Sadie 11 months 2021-06-30T16:00:30+00:00 1 Answers 0 views 0

Answers ( )

  1. Sarah
    0
    2021-06-30T16:02:00+00:00
    Reply

    Answer:

    \huge\star \underline{ \boxed{ \purple{Answer}}}\star

    \sf\green{The\:correct\:answer\:is\:option\:B\:7.2}

    Step-by-step explanation:

    Given :–

    Mean of a set of 8 observations is 10

    4 is the mean of a set of 7 observations

    To Find :–

    The

    Themean of the combined set is given by:

    Solution :–

    \sf{let\:the\:1^st\:mean\:be\:x_1}

    \sf{let\:the\:2^nd\:mean\:be\:x_2}

    &

    \sf{let\:the\:1^st\:no.\:of\:observations\:be\:w_1}

    \sf{let\:the\:2^nd\:no\:of\:observations\:be\:w_2}

    ➝\sf{x\:=\:\frac{x_1 w_1\:+\:x_2 w_2}{w_1\:+\:w_2}}

    ➝\sf{\frac{10\:\times\:8\:+\:7\:\times\:4}{7\:+\:3}}

    ➝\sf{\frac{80\:+\:28}{8\:+\:7}}

    ➝\sf{\cancel\frac{108}{15}\:7.2}

    ➝\sf{7.2}

    \huge\mathfrak\pink{Hope \: it \: helps \: you}

    \huge\mathfrak\pink{friend}

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