Mathematics, 20.12.2019 13:31 xXwolfieplayzXx

which pair of statements correctly compares the two data sets?

a. the difference of the means is 1. this value is less than half of the mean absolute deviation of either data set.

b. the difference of the means is 1. this value is more than half of the mean absolute deviation of either data set.

c. the difference of the means is 1. this value is 1 times the mean absolute deviation of either data set.

d. the difference of the means is 1. this value is 2 times the mean absolute deviation of either data set.

which pair of statements correctly compares the two data sets? a. the difference

Answers: 1

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Answer from: Islandgirl67

Data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6

the MAD is :
1 - 6 = -5|-5| = 5
2 - 6 = -4|-4| = 4
4 - 6 = -2...|-2| = 2
4 - 6 = -2...|-2| = 2
5 - 6 = -1...|-1| = 1
5 - 6 = -1...|-1| = 1
6 - 6 = 0 ...| 0| = 0
7 - 6 = 1|1| = 1
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
9 - 6 = 3...|3| = 3
11 - 6 = 5...|5| = 5

(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD

2nd data set :
the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7

mad is :
1 - 7 = -6...| -6| = 6
3 - 7 = -4...|-4| = 4
4 - 7 = -3...|-3| = 3
6 - 7 = -1...|-1| = 1
6 - 7 = -1..|-1| = 1
6 - 7 = -1..|-1| = 1
7 - 7 = 0...|0| = 0
9 - 7 = 2...|2| = 2
9 - 7 = 2...|2| = 2
10 - 7 = 3..|3| = 3
10 - 7 = 3...|3| = 3
13 - 7 = 6...|6| = 6

(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MAD

the difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Answer from: Quest

answer download the app called socratic on your phoner:

step-by-step explanation:

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