The $5$5 numbers $16,16,17,24,17$16,16,17,24,17 have a mean of $18$18. If a new number is added that is bigger than $24$24, will the mean will be higher or lower?
Higher
Lower
The 5 numbers $11,13,9,13,9$11,13,9,13,9 have a mean of $11$11. If a new number is added that is smaller than $9$9, will the mean be higher or lower?
The mean of a set of $41$41 scores is $18.6$18.6. If a score of $71.8$71.8 is added to the set, find the new mean.
Write your answer correct to two decimal places.
Assess how various changes to data sets alter their characteristics.