Question

find average of 7,11,10,6,8,6​

Answer 1

SOLUTION

TO DETERMINE

The average of 7 , 11 , 10 , 6 , 8 , 6

EVALUATION

Here the given observations are

7 , 11 , 10 , 6 , 8 , 6

Number of observations = 6

Sum of the observations

= 7 + 11 + 10 + 6 + 8 + 6

= 48

Hence the required average

$\displaystyle \sf{ = \frac{48}{6} }$

= 8

FINAL ANSWER

The average of 7 , 11 , 10 , 6 , 8 , 6 = 8

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Answer 2

${\large{\pmb{\sf{\underline{RequirEd \: Solution...}}}}}$

Procedure: To find the mean of any term we have to add all the given digits firstly then when the sum came then we have to divide it by the total number of already given terms. And then at last we get our final result as mean. Formula to find mean is given below, we have to use it too. Mean is also known as average.

${\small{\underline{\boxed{\sf{\rightarrow \dfrac{Sum \: of \: terms \: or \: observations}{Total \: number \: of \: terms \: or \: observations}}}}}}$

${\small{\underline{\boxed{\sf{\rightarrow \dfrac{Sum \: of \: terms \: or \: observations}{Total \: number \: of \: terms \: or \: observations}}}}}} \\ \\:\implies \sf \dfrac{Sum \: of \: terms \: or \: observations}{Total \: number \: of \: terms \: or \: observations} \\ \\ :\implies \sf Total \: terms \: = 6 \\ \\ :\implies \sf Terms \: = 7,11,10,6,8,6 \\ \\:\implies \sf \dfrac{7+11+10+6+8+6}{6} \\ \\ :\implies \sf \dfrac{18+10+6+8+6}{6} \\ \\ :\implies \sf \dfrac{28+6+8+6}{6} \\ \\ :\implies \sf \dfrac{28+12+8}{6} \\ \\ :\implies \sf \dfrac{28+20}{6} \\ \\ :\implies \sf \dfrac{48}{6} \\ \\ :\implies \sf \cancel{\dfrac{48}{6}} \\ \\ :\implies \sf 8 \\ \\ \sf Henceforth, \: 8 \: is \: average \: of \: given \; observation$

${\large{\pmb{\sf{\underline{Additional \; KnowlEdge...}}}}}$

How to find median?

Procedure: To find median firstly we have to make the terms in ascending or descending order as we want. Then we have to check the middle term there. Then we get our answer means middle terms in that sequence is the median but if there is no middle term coming means for example there are total 6 terms then it obvious that in middle no term will come because it be even then we have to add two middle terms then we have to divide it by two. Ascending order? Small number to big number. And we get our final result!

How to find mode?

Procedure: To find mode we have to check that which number came more time. And according to the question there are no mode because all numbers are just coming for a time.