The student who traveled to states visited new states during a vacation. Does increasing the to change the median? If so, how?
1 answer:
Step-by-step explanation:
The exact question is as follows :
Given - The student who traveled to 3 states visited 6 new states during a vacation.
To find - Does increasing the 3 to 6 change the median? If so, how?
Proof -
Yes,
If we increase the 3 states to 6 states, it changes the median
Because
The median of the first 3 states is the middle state.
For example -
If we have 3 states X, Y, Z
Then the median is the state Y
Now,
The median of 6 states is the average of the 2 middle states.
For example -
If we have 6 states
X, Y, Z, U, V, W
Then
The median is not explicit.
Median is the average of the two middle states, Z and U.
And
Average of Z and U = half of the sum of Z and U.
i.e. (Z + U)/2.
And we can see that,
Median of 3 States is not equal to Median of 6 states
i.e. Y is not equal to (Z + U)/2.
So,
We can say that,
Increasing the state 3 to 6 changes the median.
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Answer:
option A
(1.5,1.2)
Step-by-step explanation:
Given in the question two equations
Equation 1
y = √x
Equation 2
y = x²- 1
Equate both equations
√x = x²- 1
<h3>1 method </h3><h3>by plotting graph</h3>We can see from the graph that both meets when x = 1.5 and y = 1.2
<h3>2 method </h3>we can plug the options given one by one to see which points satisfy
one thing we know is that x ≠ any negative value since
y = √x and square root of negative value is not possible
so option b and c are rejected
option A
√1.5 = y = 1.2
1.5²- 1 = y = 1.2
