a. What is the mearn the original samples have n = 4 scores? b. What is the mean for the combined set if the first sample has n = 3 and the second sample has n = 5? c. What is the mean for the combined set if the first sample has n = 5 and the second sample has n = 3? %3D

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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a. What is the mearn
the original samples have n = 4 scores?
b. What is the mean for the combined set if the first
sample has n = 3 and the second sample has n = 5?
c. What is the mean for the combined set if the first
sample has n = 5 and the second sample has n = 3?
%3D
Transcribed Image Text:a. What is the mearn the original samples have n = 4 scores? b. What is the mean for the combined set if the first sample has n = 3 and the second sample has n = 5? c. What is the mean for the combined set if the first sample has n = 5 and the second sample has n = 3? %3D
Expert Solution
Step 1

From provided information; one sample has a mean M1= 8 and second sample has mean M2=16, two samples are combined

a. The mean for combined set for n1=4 and n2= 4 (since both of original samples have n=4 score) can be calculated as:

Mc=n1(M1)+n2(M2)n1+n2=4(8)+4(16)4+4=12

Therefore, combined mean for n1=4 and n2= 4 will be 12.

Step 2

b. Combined mean for n1=3 and n2=5 can be calculated as:

Mc=n1(M1)+n2(M2)=3(8)+5(16)3+5=13

Combined mean for n1=3 and n2= 5 is 13.

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