Answer:
8
Explanation:
Recall the formula for the population mean of a data set:
![\mu=(\sum x)/(N)](https://img.qammunity.org/2021/formulas/mathematics/college/pr9jqyw0q0wh1i7ld93ylvmdskmaw7hk6d.png)
We already know that μ is 6 and the sum is 48. Substitute:
![6=(48)/(N)](https://img.qammunity.org/2021/formulas/mathematics/college/9v9oitd9e9ufsuhzjd00yiu3rztjtj7ou1.png)
Divide both sides by 48:
![(1)/(8)=(1)/(N)](https://img.qammunity.org/2021/formulas/mathematics/college/tcvgy9imw7aswuytwkg97esyv6422uangg.png)
Reciprocal of both sides:
![N=8](https://img.qammunity.org/2021/formulas/mathematics/college/slxxy8fr5g3w1ba848rhlk25d9u0ewswz5.png)
Thus, there are 8 scores in the population size.
And we're done!