Question

Find the arithmetic mean of series 8, 10, 12, 14....250.​

Answer 1

Step-by-step explanation:

8,10,12,14,...250

Given:-a=8

d=a2-a1

= 10-8

=2

n=?

an=250

solve using formula:-

an=a+(n-1)d

250=8+(n-1)2

250-8=2n-2

242=2n-2

242+2=2n

244=2n

n=244/2

n=122

Answer 2

⠀⠀ ⚘ QυꫀsƚᎥσꪀ :-

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Find the arithmetic mean of series 8, 10, 12, 14, _ _ _ _, 250.

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⠀⠀ ⚘ SσℓυƚᎥσꪀ :-

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We have,

Total no. of observations = 123

$\rm {Mean = \dfrac{8 + 10 + 12+ 14 .. 250}{123} \: }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \dfrac{15738} {123}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: 127.95122$

Hence, the arithmetic mean of series 8, 10, 12, 14, _ _ _, 250 is 127.95122

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↬ More to know :

Mean: The mean of a number of observations is the sum of the values of the observations divided by the total number of observations.

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i.e., Mean = Sum of all observations / Total no. of observations.

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$\rm \: {➛ \: It \: is \: denoted \: by \: the \: symbol \: \: \overline{x} \: read \: as \: ' x \: bar '. }$