Question

What is the value of x if the mean of following data is 9, 12, 11, 5, 3, 18, 10, 17, x, 6, 6.

Answer 1

Answer:

The value of x = 4.

Step-by-step explanation:

Number of observations = 9

Sum of observations

= 12 + 5 + 3 + 18 + 10 + 17 + x + 6 + 6

= 77 + x

Now,

Mean = Sum of observations

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Number of observations

⇒ 9 = 77 + x

--------

9

⇒ 9 × 9 = 77 + x

⇒ 81 = 77 + x

⇒ x = 81 - 77

⇒ x = 4

Hence, the value of x = 4.

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Range : The difference between the largest and the smallest observation is called the range of the data.

Here, largest observation = 18

And, smallest observation = 3

∴ Range = ( 18 - 3 )

⇒ Range = 15.