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

1 thought on “Mean of a set of 8 observations is 10 and 4<br />is the mean of a set of 7 observations. The<br />mean of the combined set is give”

1. Answer:

   [tex] \huge\star \underline{ \boxed{ \purple{Answer}}}\star[/tex]

   [tex]\sf\green{The\:correct\:answer\:is\:option\:B\:7.2}[/tex]

   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 :–

   [tex]\sf{let\:the\:1^st\:mean\:be\:x_1}[/tex]

   [tex]\sf{let\:the\:2^nd\:mean\:be\:x_2}[/tex]

   &

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

   [tex]\sf{let\:the\:2^nd\:no\:of\:observations\:be\:w_2}[/tex]

   ➝[tex]\sf{x\:=\:\frac{x_1 w_1\:+\:x_2 w_2}{w_1\:+\:w_2}}[/tex]

   ➝[tex]\sf{\frac{10\:\times\:8\:+\:7\:\times\:4}{7\:+\:3}}[/tex]

   ➝[tex]\sf{\frac{80\:+\:28}{8\:+\:7}}[/tex]

   ➝[tex]\sf{\cancel\frac{108}{15}\:7.2}[/tex]

   ➝[tex]\sf{7.2}[/tex]

   [tex]\huge\mathfrak\pink{Hope \: it \: helps \: you} [/tex]

   [tex]\huge\mathfrak\pink{friend} [/tex]

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