Ascending order :-
10.5 , 11 , 11.5 , 14.5 , 17 , 17 , 18 , 19
Median,
={(n/2)th + (n/2 +1)th}/2
={(4)th + (5)th}/2
=(31.5)/2
=15.75
I.Q.R.,
Median of lower half,
={(n/2)th + (n/2 +1)th}/2
={(2)th + (3)th}/2
=(22.5)/2
= 11.25
Median of upper half,
={(n/2)th + (n/2 +1)th}/2
={(2)th + (3)th}/2
=35/2
=17.5
I.Q.R. = 17.5 - 11.25 = 6.25
HOPE THIS WILL HELP YOU
36 pairs
because 2 spots = 1 pair
so 2x=72
and your answer will be 36 pairs
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b