Question

If the mean of p,q,r,s and t is 10. Calculate the mean of p+1, q+2, r+3, s+4 and t+5.

Answer 1

The mean of the new set of numbers p+1, q+2, r+3, s+4, and t+5 is 13.

Step-by-step explanation:

If the mean of p, q, r, s and t is 10, we can express this as (p + q + r + s + t) / 5 = 10, which means p + q + r + s + t = 50.

To calculate the mean of p+1, q+2, r+3, s+4 and t+5, we sum these values and divide by 5:

Mean = [(p+1) + (q+2) + (r+3) + (s+4) + (t+5)] / 5
= [p + q + r + s + t + 1+2+3+4+5] / 5
= [50 + 15] / 5
= 65 / 5
= 13.

The new mean is 13.

Answer 2

Since the mean of p, q, r, s and t is equal to 10, we have:

`(p+q+r+s+t)/(5)=10`

Then, calculating the mean of p+1, q+2, r+3, s+4 and t+5, we have:

`\begin{gathered} (p+1+q+2+r+3+s+4+t+5)/(5) \\ =(p+q+r+s+t)/(5)+(1+2+3+4+5)/(5) \\ =10+(15)/(5)=10+3=13 \end{gathered}`