maths paper 4 help ???????? urgently

[brainiac]

hey guys can anyone tell me how to solve this question .


Q; the number of people living in six houses is

3, 8, 4, x, y and z

the median is 7.5
the mode is 8
the mean is 7

find a value for each of x, y, z {5 marks}


thanxx in advance :Bravo: :Bravo: :Bravo: :Bravo:

 

[burndtjamb]

Well if x, y, and z are all different values and the mode is 8 then one of them must be 8, since one of the numbers given is also 8.
Let's say x=8. Now you need y and z.

3, 4, y, 8, 8, z: Since the median is less than 8 one of the variables must be placed before that number. So (8+y)/2 = 7.5 . Solve that and you will get y=7.

Now the sequence is 3, 4, 7, 8, 8, z. We know the mean is 7, so (3+4+7+8+8+z)/6 = 7. Solve for z and you will get z=12.

 

[brainiac]

THANXX ALOT BRO FOR HELPING !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!