Answer:
3, 11 and 1312
Explanation:
To find the three integers, you need to use the given information about the mean, median and range. The mean is the average of all the numbers in the set, and is found by adding all the numbers and dividing by the number of numbers. The median is the middle number in the set, and is found by ordering the numbers from smallest to largest and picking the middle one. The range is the difference between the highest and lowest numbers in the set12
Let x, y and z be the three integers, such that x ≤ y ≤ z. Then, we have:
Mean = 9 Median = 11 Range = 10
Using these facts, we can write three equations:
(x + y + z) / 3 = 9 y = 11 z - x = 10
Solving for x and z, we get:
x + y + z = 27 x + 11 + z = 27 x + z = 16
z = x + 10 x + (x + 10) = 16 2x = 6 x = 3
z = x + 10 z = 3 + 10 z = 13
Therefore, the three integers are 3, 11 and 1312