Question

Question #e9098

Answer 1

`68,76, 78,78`

Explanation:

Start with the mode & median. Since there are 4 numbers the median has to be between the 2nd and 3rd.

This gives us two numbers after the median and two before.

Since the mode is 78 the last two numbers have to be 78. The 2nd can not be 78 otherwise the Median is 78.

So we have so far

`-,-,78, 78`

The median will be the mean of the 2nd and third

Since the median is 77, the 3rd number has to be 76

`-,76, 78, 78`

The mean is 75 . So the sum of all 4 numbers is

`4xx75=300`

Now we find the first number by subtracting from the total of the other three numbers.

`78+78+76=232`

the first number is then `" "=300-232=68`

we have

`68,76, 78,78`