February 2023
Problem of the Month
Mean, Median, Mode
Submitted by K. Sengupta
A given set consists of precisely 7 ordered positive integers that satisfy each of the following conditions:
• The arithmetic mean of the set is equal to 4.
• The mode of the set is 1.
• The median of the set is 5, which occurs only once.
• The range of the set is 6.
Determine the 7 ordered positive integers in the set.