What statements are true about the median?

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

Example: the median is not affected by very large or very small values (outliers).

Step-by-step explanation:

Suppose my income for 5 months is $1000, $1500, $1550, $2000, $90,000. (I hit the lottery in the last month!).

The median is the number in the middle: $1550. That $90,000 would increase the mean ("average") by a lot, but the median is unchanged.

If a newspaper story reports the median house price in a neighborhood is $93,000, that million dollar mansion on the corner won't change the median. Half the prices are less than $93,000 and half are greater.

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Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′

worty [1.4K]

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

$(x',y') = (-x,y)$ (Eq. 1)

ii) Translation three units in the -y direction:

$(x'',y'') = (x', y'-3)$ (Eq. 2)

iii) Translation four units in the -x direction:

$(x''',y''') = (x''-4, y'')$ (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) $D(x,y) = (-1, 4)$ Given.

2) $(x',y') = (1,4)$ By (Eq. 1)

3) $(x'',y'') = (1, 1)$ By (Eq. 2)

4) $D'(x,y) = (-3,1)$ By (Eq. 3)/Result

7 0

2 years ago

Identify the type of function represented by each graph

mario62 [17]

Answer:

13. Linear Function

12. Absolute Value Function

11. Quadratic Function

10. Constant and Linear Function

Step-by-step explanation:

13. This graph is in Slope-Intercept Form, $y = mx + b$ . The equation of this line is $y = x + 1$ .

12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".

11. This graph is in the shape of a parabola, so it is considered "Quadratic".

10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function because it is in the form of $y = mx + b$ , and the equation of this line is $y = -2$ , where you have NO rate of change [slope]. This is what you call horizontal lines, zero slopes.