Question

If the mean of six observations y, y + 1, y + 4, y + 6, y + 8, y +
5 is 13, find the value of y.

Answer 1

Given :- If the mean is 13 . find the value of y .(y, y+1, y+4, y+6, y+8, y+5) ?

Solution :-

we know that,

• Mean = (sum of observations) / (Total number of observation)

here , we have given that,

• Observations are = (y, y + 1, y+4, y+6, y+8, y+5)
• Number of observations = 6
• Mean = 13 .

so,

→ Mean = (sum of observations) / (Total number of observation)

→ 13 = (y + y + 1 + y+4 + y+6 + y+8 + y+5) / 6

→ 13 * 6 = 6y + 24

→ 78 = 6y + 24

→ 6y = 78 - 24

→ 6y = 54

→ y = (54/6)

→ y = 9 (Ans.)

Hence, value of y will be 9.

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Answer 2

SOLUTION

GIVEN

The mean of six observations

y, y + 1, y + 4, y + 6, y + 8, y + 5 is 13

TO DETERMINE

The value of y

EVALUATION

Here the given observations are

y, y + 1, y + 4, y + 6, y + 8, y + 5

Sum of the observations

= y + y + 1 + y + 4 + y + 6 + y + 8 + y + 5

= 6y + 24

Again it is given that the mean of six observations is 13

So sum of observations

= 6 × 13

= 78

So by the given condition

$\sf{6y + 24 = 78}$

$\implies \sf{6y = 78 - 24}$

$\implies \sf{6y = 54}$

$\implies \sf{y =9}$

FINAL ANSWER

The required value of y = 9

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