Is it possible to add the data for an additional hike to the line plot so that the range increases but the median does not change?

Not possible

Step-by-step explanation

Range is the difference between the highest and lowest data value in a data set. It is used to define the spread on data on the graph. Higher the range higher will be spread of data.

Whereas median is the middle value(odd number of data values) or average of the middle values(even number of data values) in a data set.

Therefore, adding an additional data value will surely change range( increase in case, the value is higher than other values) at same time it will also effect the median of the data set. So, it not possible to add the data for an additional hike to the line plot so that the range increases but the median does not change

false

step-by-step explanation:

false : it can not go to 9 the highest that part can go is 7

here is your proof