NIMCET 2019 Question Paper with solutions

Let ${\mathit{X}}_{\mathit{i}}$, i = 1, 2 ,....., n be n observations and ${\mathrm{W}}_{\mathit{i}}$ = p${\mathit{X}}_{\mathit{i}}$ + k, I = 1, 2, __, n where p and k are constants. If the mean of ${\mathit{X}}_{\mathit{i}}$ is 48 and standard deviation is 12, whereas the mean of ${\mathrm{W}}_{\mathit{i}}$’s is 55 and standards deviation is 15, then the values of p and kshould be