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defon
3 years ago
14

What is the mean absolute deviation of the data set? 2, 2, 5, 6, 8, 4, 8, 5

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

ANSWER

The mean absolute deviation is 1.75

EXPLANATION

The given date set is 2, 2, 5, 6, 8, 4, 8, 5

The mean is

\bar X =  \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8}  = 5

The mean absolute value deviation is given by:

=\frac{ \sum |x -\bar X| }{n}

=  \frac{ | 2 - 5|  +  |2 - 5|+  |5- 5|+  |6 - 5|+  |8 - 5| +  |4 - 5|+  |8- 5|+  |5 - 5| }{8}

=  \frac{ 3  +  3+ 0+  1+  3 + 1+3+  0}{8}

=  \frac{14}{8}

= 1.75

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Answer:

1. a. Students

2. d. number of U.S. states visited, quantitative

3. a. H o: mu = 16, Ha: mu ≠ 16

4. (7.46,11.50)

Step-by-step explanation:

1. The researcher is interested in finding out the average number of states in US that the students have visited.

The unit that is being observed to arrive at that conclusion is the Students. The observational unit for this study is  a. Students.

2. The variable of interest from the information above is the number of U.S. states visited. The observations recorded for this variable are in numbers which are numeric in nature. This implies that the variable is quantitative in nature.

Therefore, the answe  is d. number of U.S. states visited, quantitative

3. To test whether the average number of states all students at the author’s school have visited,

The null hypothesis (H o) is always given as the negation statement/null of what we wish to test.

So, we wish to test that the average is different from 16. Therefore, the null would be that the average is 16.

Answer  is a. H o: mu = 16, Ha: mu ≠ 16

4. A  95% confidence interval for the average number of states all students at the author’s school have visited can be calculated using the formula:

x  bar + or - 2 √s/n

=9.48 + or - 2 × 7.13/ √50

= (7.46,11.50)

The 95% confidence interval for the average number of states all students at the author’s school have visited is (7.46,11.50). The average falls betw 7.64 and 11.50.

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3 years ago
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astra-53 [7]

Answer:

4

Step-by-step explanation:

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Hope this helps!

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Answer:

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Step-by-step explanation:

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