Questions
If each observation of a raw data whose variance is is multiplied by h, then the variance of the new set is
detailed solution
Correct option is B
Let x1,x2,…,xnbe the raw data. Then, σ2=1n∑i=1n xi−X¯2If each value is multiplied by h, then the values become hx1hx2,…,hxn.Then AM of the values ishx1+hx2+⋯+hxnn=hX¯Therefore, the variance of the new set of values is1n∑i=1n hx1−hX¯2=h21n∑i=1n xi−X¯2=h2σ2Talk to our academic expert!
Similar Questions
The standard deviation of some temperature data in oC is 5. If the data were converted into oF, the new variance would be
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests