Answer:
p = 170
Setting up the formula:
The mean is the sum of the digits divided by the total digits in the set.
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = \text{Mean}[/tex]
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = 39[/tex] [Mean = 39]
[tex]\rightarrow \dfrac{25 + p}{\text{Total digits}} = 39[/tex] [Sum of digits = 25 + p]
[tex]\rightarrow \dfrac{25 + p}{5} = 39[/tex] [Total digits = 5]
Step-by step calculations:
Use cross multiplication:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
Simplify the RHS:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
[tex]\rightarrow 25 + p= 195[/tex]
Subtract 25 both sides:
[tex]\rightarrow p = 195 - 25[/tex]
[tex]\rightarrow p = 170[/tex]
