1. Find the median 16, 19, 17, 35,43,28,21?

Question

2. Find the mean and median for the following data set: 1,3,8,10,18

3.One number is less than another. If 4 times the smaller number minus 3 times the larger number is 4, find the two numbers.

4. Determine the LCM of 25 and 50

5. Simplify 5- a/b is over top of 15/b

6. Is the number in the parentheses a solution to the given equation? 5 - x = 6 (-3)

Answer 1

1 . first write the raw data in ascending order
16 17 19 21 28 35 43
so there are 7 numbers, i.e., n = 7
which is odd
so the median of the data is
(n + 1) / 2 th term of the data
= (7 + 1 )/ 2 th term
= 8/ 2 th term
= 4th term which is 21
so 21 is the median of the data

2. 1,3,8,10,18
mean = (1 + 3 + 8 + 10 + 18 )/ 5 = 40/5 = 8
median = (n + 1 ) th term = (5 + 1 )/2 th term = 6 / 2 th term = 3rd term = 8

3. let the number be x and the larger number be y

4x - 3 y = 4
there should be one more statement involving x and y , and thereby we can get two equations and solve them by simultaneous equation, or the question should have begun with a given number being divided into two parts and then the smaller part being the given number - x , where x is the larger number.......something like this

4. 25, 50

5 [ 25, 50
5 [ 5, 10
2[ 1, 2
[ 1, 1

so 5 * 5 * 2 = 50
50 is the LCM of 25,50

5 .
(5 - a/b ) / 15/ b
(5b - a ) / b / 15 /b
(5b - a) / b * b / 15
(5b - a ) / 15
5b/15 - a/15
b/3 - a / 15

6. 5 - x = 6
- x = 6 - 5
- x = 1
x = -1

no,
the answer is - 1 and not -3

Answer 2

1) Median is the middle number, so here that is 21.

2) Mean = 8
Median = 8

3) Equation to use is 4x - 3y = 4 (solve by trial and error)
Numbers are 7 and 8.
4 x 7 (Smaller number) = 28
28 - (3 x 8) = 28 - 24 = 4 (Hence proved.)

4) LCM of 25 and 50 is 100

You can do Q.5 yourself....

6) 5 - x = 6
x + 6 = 5
x = -1

Hence 5 - - 1 = 5 + 1 = 6 (Solved)

Answer 3

1 the median is 21

2 mean is 8
median is 8
3 I do not have enough info.
4 LCM of 25 and 50 is 150
5 the answer is (5b-a)/15
5 no the number is not a solution
5-(-3)=8 which is different from 6.

Answer 4

1.21
2.mean:8
median:8
3.Equation to use is 4x - 3y = 4
the numbers are 7 and 8.
4 x 7 (smaller number) = 28
28 - (3 x 8) = 28 - 24 = 4
4.don't know what lcm is,we don't use it here in belgium
5.(5-a)/b=15/b
~>5-a=15
~>-a=15-5
~>-a=10
=>a=-10
6.5-(-3)=6
->5+3=6=>not true
-x=6-5
x=-1

Answer 5

1. median = 21

2. median = 8, mean is = 8

3.x, x-1
4(x-1) - 3(x)=4
4x-3x = 4+4
x = 8
the two numbers = 8,7

4. LCM is 50 but hcf = 25

5.
5- a/b is over top of 15/b
=(5-a)/b*b/15
= (5-a)/15

6. No,
x = 23

Answer 6

1. The median is 21

2. Median is 8, mean is 40/5 = 8

3. I don't think there is enough information to find x,y.
...x < y
...4y - 3x = 4

4. LCM is 5

5. ((5b-a)/b)/(15/b) ... (5b-a)/15

6. No, x = -1