For each of the following decide whether the statements are true or false.
Two sets of data have the same highest and lowest values. This means they must have the same mode.
True
False
Two sets of data that have the same highest and lowest values must have the same mean.
True
False
For each of the following statements, decide whether they are true or false:
Consider this set of data:
$0,1,1,1,2,3,4,4,7,8,8,9,9$0,1,1,1,2,3,4,4,7,8,8,9,9
If one score of $4$4 is changed to $1$1, which two measures of centre would be affected?
Consider this set of data that represents the number of apps on six people’s phones:
$12,13,20,21,23,25$12,13,20,21,23,25
If each person adds another $7$7 apps, which measures of centre would be affected?