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jayla69
19.05.2020 •
Mathematics
Five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.
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Ответ:
x = 7
y = 8
Step-by-step explanation:
Knowing that the mean is equal to the median, we can formulate the following equation:
⅕(4 + 6 + x + y + 10) = x
Simplifying it, we get:
y = 4x - 20
Now, we know that both x and y are between 6 and 10 and that y is greater than x;
Mathematically, we have the conditions:
6 =< x =< 10
6 =< y =< 10
y > x
If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;
This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;
Once we know this, we can find y simply by subbing it into the equation formulated previously:
y = 4(7) - 20
y = 8
Ответ:
no
Step-by-step explanation:
hmmm imma slep