Answer to Question #260469 in Statistics and Probability for brian

Question #260469

One sample has n = 4 scores and M = 10. A second sample has n = 6 scores and M = 5. If the two samples are combined, then what is the mean for the combined sample?


1
Expert's answer
2021-11-03T18:08:42-0400

First sample:

n1=4,M1=10,ixi=4(10)=40n_1=4, M_1=10, \sum_ix_i=4(10)=40

Second sample:

n2=6,M2=5,iyi=6(5)=30n_2=6, M_2=5, \sum_iy_i=6(5)=30

Combined sample:


ncomb=n1+n2=4+6=10n_{comb}=n_1+n_2=4+6=10

iui=ixi+iyi=40+30=70\sum_iu_i=\sum_ix_i+\sum_iy_i=40+30=70

Mcomb=iuincomb=7010=7M_{comb}=\dfrac{\sum_iu_i}{n_{comb}}=\dfrac{70}{10}=7

The mean for the combined sample is Mcomb=7.M_{comb}=7.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment