Question

Th the mean of the data is set 15 what number is missing
18,16_,9,12,23

Answer 1

The missing number on the given data set is 12.

Explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations = 6

Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m

Also,
`\textrm{ Mean of the given Data}  = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}`

`\implies 15 = (78+ m)/(6) \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12`

or, m = 12

Hence, the missing number on the given data set is 12.