Mean, Median, Mode, Range - Answers
1. Find x and y so that this set of numbers has a mean of 4, a median of 2.5 and a mode of 2:
2, 2, 2, 3, 5, 10
2. Find the values of a, b and c if this set of numbers has a mean of 18, a median of 14 and a range of 28:
6, 9, 14, 27, 34
3. Write down five numbers with a mean of 6, a median of 4 and a mode of 2 (total 30)
2, 2, 4, x, y x+y=22, x,y>4, x≠y
4. Write down four numbers with a mean of 9 and a range of 10 (total 36)
a, b, c, d d-a=10, (total 36)
5. Write down 7 numbers with a median of 6 and a mode of 3
3, 3, a, 6, b, c, d a≠b≠c≠d, b,c,d>6
6. Extension question: Go back to questions 4, 5 & 6 and find as many sets
of numbers as possible that fit each criteria.
Mean, Median, Mode, Range
1. Find x and y so that this set of numbers has a mean of 4, a median of 2.5 and a mode of 2:
2, 2, x, 3, y, 10
2. Find the values of a, b and c if this set of numbers has a mean of 18, a median of 14 and a range of 28:
a, 9, b, 27, c
3. Write down five numbers with a mean of 6, a median of 4 and a mode of 2.
4. Write down four numbers with a mean of 9 and a range of 10
5. Write down 7 numbers with a median of 6 and a mode of 3
6. Extension question: Go back to questions 4, 5 & 6 and find as many sets of numbers as possible that fit each criteria.
1 3 __ 5
Mean = 3
Total = ?
__ 5 __ __ 8
Median = 5
Mean = 6
(Total = ?)
Range = 3
3 __ 4 ______
Median = 5.5
Mode = 4
Mean = 6
(Total = ?)