Question

For the data 2,9, x +6,2x+3,5,10,5
if mean is 7, then the mode is​

Answer 1

Answer:

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Step-by-step explanation:

$Given , \: mean = 7$

$Now , we \: know \: that ,$

$Mean = \frac{Sum \: of \: observations}{Total \: no. \: of \: observations}$

$=> 7 = \frac{ 2+ 9 + (x +6)+ (2x+3) + 5 + 10 + 5}{7}$

$= 7×7 = 3x + 40$

$= 49-40 = 3x$

$= 3x= 9$

$= x = \frac{9}{3} =3$

$Substituting \: value \: \\ of \: x \: in \: data \: we \: get :$

$2, \: 9, \: x +6, \: \: 2x+3 \: ,5, \: 10 \: ,5$

$=> 2, \: 9, \: (3+6), \: 2(3)+3, \: 5, \: 10 \: ,5$

$2, \: 9, \: 9 \: ,9 \: ,5 \: ,10 \: ,5$

$The \: mode \: of \: the \: data \\ \: is \: 9 \: because \: it \\ \: has \: occurred \: most \: no. \: of \: times.$

$please \: like \: my \: answer \\ \&\\ mark \: me \: brainliest \: please \: :)))$

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