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zhenek [66]
3 years ago
15

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data

with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

The median is increased by 2

Step-by-step explanation:

The median is the number in the middle of the data when looked at from lowest value to greatest value. For the first data set, the median is 22. There are five values, and 22 has two values on both sides. For the second data set, the median is 24. Since there is an even number of data values, you have to take the two middle values, which are the values that have the same amount of values on each sides, and then find the average of those two values. To find the average, add up the values you are trying to find the average of, and then divide the sum by the number of values. The two middle values are 22 and 26 because there are two numbers on either side of them. (On the left side, there are the numbers 15 and 19, and on the right side, 29 and 81.) The average of 22 and 26 is 24 because 22 + 26 = 48, and 48/2 = 24. 24 is 2 greater than 22.

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Make sure the answer is 100% correct. Then circle the answer in a circle.
Vladimir [108]

Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.

Step-by-step explanation:

The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.

The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.

For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.

6 0
2 years ago
What is the slope of y-3=-2(x+5)
BigorU [14]

Answer: slope (m) = -2

Step-by-step explanation:

y-3=-2(x+5)

put it into y=mx+b

use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.

first, parantheses.

-2(x+5)

-2 times x = -2x

-2 times 5 = -10

your new equation is y-3 = -2x-10

now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.

you final equation will be y=-2x-7

in the form y=mx+b, m is your slope.

therefore, -2 is your answer, or slope.

8 0
2 years ago
What is the solution to the system of equations? 6 x + 2 y = 6. 7 x + 3 y = 5. (Negative 3, 2) (Negative 1, 6) (2, Negative 3) (
atroni [7]

Answer:

(2, -3)

Step-by-step explanation:

These are the steps I used:

(6x+2y=6) x3 -> 18x+6y=18

(7x+3y=5) x2 -> 14x+6y=10

When you subtract the equations you get:

4x=8

x=2

4 0
3 years ago
Need help I don’t get it
coldgirl [10]

Sin(angle) = Opposite leg / Hypotenuse

Angle = 8 degrees

Opposite leg = 2.3 feet

Sin (8) = 2.3 ft. / Z

Z = 2.3 / sin(8)

Z = 16.5 feet

6 0
3 years ago
In a conjunction, / is true when both / and / are _____; otherwise, / is _____. A. true . . . true B. true . . . false C. false
elena-14-01-66 [18.8K]
The answer to this question would be OPTION B.In a conjunction, / is true when both / and / are TRUE; otherwise, / is FALSE.

A conjunction refers to a compound statement, developed by combining two statement often through the use of the word 'AND'.  For example, the two statements, 'Roses are Red' (statement p) .... 'Violets are Blue' (statement q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.'  When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.

Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).

6 0
3 years ago
Read 2 more answers
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