Multiple choice

If the mean of the distribution 10, 8, 15, 12, K, 25 is 12, find the value of K.

  1. 2

  2. 1

  3. 4

  4. 3
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A Correct answer
Explanation

Mean = Sum / Count. (10+8+15+12+K+25) / 6 = 12. 70 + K = 72. K = 2.

AI explanation

The formula for the mean of a distribution is the sum of all observations divided by the number of observations. Adding the values 10, 8, 15, 12, K, and 25 gives 70 plus K. Setting this sum equal to 6 times the mean of 12 gives the equation 70 plus K equals 72. Solving for K gives 72 minus 70, which equals 2.

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