Answer :

Answer:

The missing number on the given data set is 12.

Step-by-step 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, [tex]\textrm{ Mean of the given Data}  = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}[/tex]

[tex]\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12[/tex]

or, m  = 12

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

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