Answer:
(a) median = 57
(b) Q1=50 Q3=63.5
(c)D1 = 41 D9=67
(d)P33= 51
Step-by-step explanation:
(a) The numbers are arranged in ascending order, and there are even number of calls. So the median will be the average of the middle terms.
middle terms are 55 and 59
Median = 
median= 57
(b) First quarter Q1 = 
th
=
th
= 7.5th
so the first quarter lies in the 7.5th= (7+0.5)th term
So we multiply 0.5 by the difference of the 7th and 8th term
=0.5 *0= 0
Q1 = 50+0=50
Q3=
th
=
th
=22.5th = (22+0.5)th term
So we multiply 0.5 by the difference of the 22th and 23rd term
= 0.5*1=0.5
Q3= 63+0.5=63.5
(c) First decile (D1) = 
th
=
th
= 3rd term
D1= 41
D9= 
th
=
th
=27th term
D9 = 67
(d) 33rd percentile =
th
=
th
= 9.9th term = (9 +0.9)th
Multiply 0.9 by the difference between the 9th and tenth term.
= 0.9*0 =0
P33 = 51
X = -1
(-1, -5) The line is horizontal.
:) <span />
30% is equivalent to the fraction 3/10
As 3/10 cannot be simplified anymore, it is your final answer.
This is an example of systems of equations, using weird symbols rather than x or y.
We'll substitute the symbols for the variables d and c
d for diamond, c for clover.
3 + d = c
c + d = 11
We can solve for one variable in the first equation to find the true value of the other variable in the second equation.
3 + d = c
<em><u>Subtract 3 from both sides.</u></em>
d = c - 3
Now we have a value for d and can solve the second equation.
c + d = 11
<em><u>Substitute.</u></em>
c + c - 3 = 11
<em><u>Add 3 to both sides.</u></em>
c + c = 14
<em><u>Combine like terms.</u></em>
2c = 14
<em><u>Divide both sides by 2.</u></em>
c = 7
Now we know the absolute value of c and can solve for the value of d.
d + c = 11
d + 7 = 11
<u><em>Subtract 7 from both sides.</em></u>
d = 4
The diamond, or d, is equal to 4. And the clover, or c, is equal to 7. (This is your answer.)
Let me know if you have any questions.
