Question

Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this population AND find the population mean

Answer 1

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are =
`\left[\begin{array}{ccc}6\\4\end{array}\right]` = 15.

Now the population mean is given by
`(1)/(n)` × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by
`(162)/(6)` = 27.