The standard deviation of 25 numbers is 40. If each of the numbers is increased by 5, then the new standard deviation will be
A
40
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
40+2125
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 40 Let the numbers be xi. Then, ¯x=∑xi25 Let yi=xi+5. Then, ¯y=∑(xi+5)25=¯x+5⇒(yi−¯y)=(xi+5)−(¯x+5)=xi−¯x⇒σ(y)=√(yi−¯y)2n=√(xi−¯x)2n=σ(x)