A) 14.98, 39.95
B) 39.95, 14.98
C) 39.95, 224.5
D) None of these
Correct Answer: B
Solution :
[b] Corrected \[\Sigma x=40\times 200-50+40=7990\] \[\therefore \] Corrected \[\bar{x}=7990/200=39.95\] Incorrect \[\Sigma {{x}^{2}}=n[{{\sigma }^{2}}+{{\bar{x}}^{2}}]=200[{{15}^{2}}+{{40}^{2}}]\] \[=365000\] Corrected \[\Sigma {{x}^{2}}=365000-2500+1600=364100\] \[\therefore \] Corrected \[\sigma =\sqrt{\frac{364100}{200}-{{(39.95)}^{2}}}\] \[=\sqrt{(1820.5-1596)}=\sqrt{224.5}=14.98.\]
You need to login to perform this action.
You will be redirected in
3 sec
