The following four numbers are listed in ascending order: 7, x, 24, y. the median of the four numbers is 18 and the mean is 61. Find x.
the median is (x+24)/2 = 18
the mean is (7+x+24+y)/4 = 61
solve for x using the median, then use that and solve for y using the mean
how can you find y. I keep getting a decimal.
To find the value of x, we need to use the given information about the median and mean of the four numbers.
Given that the median is 18, we know that the two middle numbers, when listed in ascending order, are both equal to 18. Considering that 7 is the first number in the list, we can infer that the second number, x, must be less than or equal to 18.
Next, we can use the information about the mean. The mean is calculated by summing up all the numbers in a set and dividing by the total count of numbers in that set. In this case, the mean is 61, which implies that the sum of the four numbers is 4 times 61, or 244.
Now, let's break down the sum of the four numbers by considering each number individually:
1. The first number is 7.
2. The second number is x (which we don't know yet).
3. The third number is 24.
4. The fourth number is y.
From this, we can write an equation to represent the sum of the four numbers:
7 + x + 24 + y = 244
To proceed, we need more information.