Question

If mean of data 4,7,6,k,5,9 is 6 then k = _______. * 1 p

Answer 1

mean of the data is 6.

mean =4+6+7+k+5+9/6

6=31+k/6

36=31+k

k=5

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Answer 2

Given,

The mean of data  4,7,6,k,5,9 is 6.

To find,

The value of k.

Solution,

• Mean is defined as an average which is calculated by sum of all terms divided by the number of terms.

• First, we have to calculate the sum of  4,7,6,k,5,9 is 6.

⇒   4+7+6+k+5+9 = 31+k

⇒   Number of terms = 6

Hence, the mean of data = (Sum of all terms)/(Number of terms)

•  Mean of data =  (31+k)/6

• Mean of data = 6

⇒   6 = 31+k/6

⇒   36 = 31 + k

⇒   36 - 31 = k

⇒   k = 5.

Hence, the value of k is 5.