Question

Plzz help mehjDutch hchch h

Answer 1

• See below

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:

• (6 + 9)/2 = 7.5

The mode stays same as still most used number is 5:

• 5