Converse: If the mean of the data is between x and y, then x and y are the least and greatest value in your data set
True or false? False
C
c
Mode
Practice makes perfect
a
The mean of a data set is the average of the numbers. Therefore, if x and y are the least and greatest of the values in the data set, the average will necessarily be between them. This means the statement is true.
b
The converse of a conditional statement, q→ p, exchanges the hypothesis and the conclusion of the conditional statement.
If the mean of the data is between $x$ and $y$,
then $x$ and $y$ are the least and greatest
value in your data set.
This is not true, as there could be other values that are either lower or greater than x and y in the data set.
c
To copy and complete the statement, we need to understand the meaning of a mean, median and mode.
The mean is the average value of a data set.
The median is the middle value of a data set
The mode is the most occurring value of a data set.
All data sets will have a mean and a median no matter what they look like. However, if a data set has a mode, one value has to necessarily occur more times than any other value in the data set. Therefore, if a data set has a mode, then the mode of the data set will always be a data value.
&If a data set has a mean, median and a
&mode, then the mode of the data set
&will always be a data value.
