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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