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

Substract '-3.4x' at LHS nad the RHS of the above expression.

Add '4' on both LHS and RHs of the above expression.
Answer:
Step-by-step explanation: We usually use the distributive property because the two terms inside the parentheses can't be added because they're not like terms;
Answer: It is an associative property of addition.
Step-by-step explanation:
Since we have given that
(4+6.1)+7=4+(6.1+7)
As we know that "Associative property":

Associativity in addition means that adding three numbers and then change the order of numbers and then add it again, we will get the same answer.
So,

Hence, it is an associative property of addition.
Answer:
128
Step-by-step explanation:
160 x .20 = 32
160 - 32 = 128