Question

The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.


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Answer 1

Steps in attachment^_^

Answer 2

Answer:

Observation: 6, 8, x + 2, 10, 2x - 1, 2

No. of observation = 6

Sum of observation = 6 + 8 + x + 2 + 10 + 2x - 1 + 2

= 3x + 27

Mean = $\bf \frac{Sum \: of \: observations }{Number \: of \: observations }$

$\bf 9= \frac{3x + 27 }{6 } \\ \\ \bf 3x +27 = 54 \\ \\ \bf 3x = 54 - 27 \\ \\ \bf 3x = 81 \\ \\ \bf x = \frac{27}{3} \\ \\ \boxed{ \bf x = 9}</p><p>$

Hence, the value of x is 27.

Observations :

• 6
• 8
• x + 2 = 11
• 10
• 2x - 1 = 17
• 2

Hence, observations = 6,8,11,10,17,2

Additional information :

What is Mean?

The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.

Mean = $\bf \frac{Sum \: of \: observations }{Number \: of \: observations }$

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