Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The mean of a data is 10. If each observation is multiplied by 5 and then 1 is added to each result , find the mean of the new observations so obtained




This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the data set be :  Di , for i = 1, to 10,  ie.,  D₁, D₂, ... D₁₀
mean μ of N observations = 10.
So total of the N observations = 10 N

The new data set contains :  5 Di + 1,  ie.,  5 D₁+1, 5 D₂+2,..., 5 D_N+1
Sum of the new data set =  5 (D₁ + D₂ + D₃ ... D_N ) + (1+1+...N times)
                                     =  5 * 10 N  +  N
                                    = 51 N
So mean of the new data set = 51 N / N = 51

If each data item is multiplied by x then the mean is also multiplied by  x.
If each data item is added by x  then the mean is also added by x.

If each item is multiplied by a and b is added to each item, then the mean becomes a times plus b.

1 5 1
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts