Answer:
Its the first one
Step-by-step explanation:
You should not calculate the routines but instead you should calculates how much it is front and center.
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<h3>
Answer: Choice B</h3>
Reason:
Choices A, C and D have repeated x values. It allows us to rule them out.
Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.
Whenever we have repeated x values, it indicates we do <u>not</u> have a function. A function is only possible when each x value goes to exactly one y value only.
Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.
Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, <u>table B</u> is a function.
Side Note: the y values can repeat, but the function won't be one-to-one.
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
The population changes to 12.5% in 5 years.