Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. the first sample contained both males and females, aged 12-19. the second sample contained both males and females, aged 20-39. the results are shown in the table below. sample #1 16 11 9 12 11 10 10 8 15 0 2 15 14 7 11 5 14 20 3 11 13 7 0 5 21 sample #2 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4 part 1: find the mean of sample #1. part 2: find the mean absolute deviation of sample #1.

neither question asks about sample 2.

sample 1

1 16 11 9 12 11 10 10 8 15 0 2 15 14 7 11 5 14 20 3 11 13 7 0 5 21

i count 26 items

adding those up, we get 251

answer, part 1:   mean = 251/26 = 9.654

part 2,

let's call the mean u = 251/26

for the mean absolute deviation, we calculate

mad = (1/26) {   |1 - u| + |16 - u| + |11 - u| + + | 21-u|   }

for all the elements bigger than u the absolute value doesn't do anything.

for the elements less than u the absolute value negates things.

let's sort into two categories,  

< u: 1 9 8 0 2 7 5 3 7 0 5         count 11, sum 47

> u: 16 11 12 11 10 10 15 15 14 11 14 20 11 13 21       count 15, sum 204

so the total absolute deviation is for the first list is 11u - 47 and the

total for the second list is 204 - 15u for a mean absolute deviation

mad = (1/26)(204 - 15u + 11u - 47)= (1/26)(157 - 4(251/26))

mad = 1539/338   ≈ 4.553

answer: mad 4.553

what does x eaqual

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this