Video Transcript
The following figure
demonstrates the number of glasses of water a group of people consume per
day. Describe how the range would
change if an additional data value of one was added to the data set.
The graph tells us that eight
people consume zero glasses of water per day. Five people consume one glass;
two people consume two glasses; six people, three glasses; one person, four
glasses; and, finally, seven people consume five glasses of water per day.
We know that, in order to
calculate the range of a data set, we subtract the smallest value from the
largest value. In this question, it will be
the number of glasses. It doesn’t matter how many
different people consume that number of glasses. The smallest value is therefore
zero. As there’re some people, in
this case, eight, that consume no glasses of water. The largest value is equal to
five as this is the greatest number of glasses of water that anybody
consumes. We can therefore calculate the
range of the original data by subtracting zero from five. This is equal to five.
We are then told that there is
an additional data value of one that is added to the data set. This means that there are now
six people that consumed one glass of water per day. This does not impact the
smallest or largest value though. So the new range is still equal
to five minus zero. Adding the extra data value
does not alter the range. We can therefore conclude that
the range would remain unchanged at five.
