Answer:
Step-by-step explanation:
Given the data set of 15 where:
- Mean = 7
- Median = 6
- Mode = 5
- The minimum is 1 and the maximum is 10
As per given we conclude
- The set will have 7 numbers before 6 and 7 numbers after
- Sum of 15 numbers is 15*7 = 105
- The most used number is 5
a) Possible set is:
- 1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10
b) Add number 20, the set will be:
- 1, 5, 5, 5, 5, 5, 5, 6, 9, 9, 10, 10, 10, 10, 10, 20
The mean is different as we have now more numbers with different sum:
- (105 + 20)/(15 + 1) = 125/16 = 7.8125
The median is different now and moves to the right as 20 added to the far right:
The mode stays same as still most used number is 5:
