Answer:
Number set in order: 6, 6, 8, 10
Step-by-step explanation:
Let the four numbers be represented by a, b, c and d;
Mean = ¹/₄(a + b + c + d) = 7.5
a + b + c + d = 30
Mode is 6, which, by extension, means there is a mode, thus 6 must be the most common number;
This has to mean at least 2 of the numbers are 6;
With the median being 7, we know:
¹/₂(b + c) = 7
b + c = 14
b has to be 6, meaning c is 8;
a must also be 6, making d equal to 10.
