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If, for the set of observations 4, 7, x, 8, 9, 10 the mean is 8, then x is equal to
  • a)
    9
  • b)
    12
  • c)
    8
  • d)
    10
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If, for the set of observations 4, 7, x, 8, 9, 10 the mean is 8, then ...
Mean of Observations

The mean of a set of observations is the sum of the observations divided by the total number of observations.

Formula for Mean: (Sum of Observations) / (Total number of Observations)

Given Observation Set

The observation set is: 4, 7, x, 8, 9, 10.

Mean of Observation Set

The mean of the observation set is given as 8.

Therefore, (4+7+x+8+9+10) / 6 = 8.

4+7+x+8+9+10 = 48.

x = 48-38 = 10.

Hence, the value of x is 10.

Answer

Therefore, the correct answer is option 'D' which is 10.
Free Test
Community Answer
If, for the set of observations 4, 7, x, 8, 9, 10 the mean is 8, then ...
Given observations =4, 7, x, 8, 9, 10
mean = 8
(formula) sum of observations /no of observations
8=4+7+x+8+9+10/6
8=38+x/6
8×6=38+x
48=38 + x
48-38=x
10=x (or) x=10
x observation is 10
so, correct option is D
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If, for the set of observations 4, 7, x, 8, 9, 10 the mean is 8, then x is equal toa)9b)12c)8d)10Correct answer is option 'D'. Can you explain this answer?
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