3. the data modeled by the box plots represent the battery life of two different brands of batteries that were tested. (a) what is the median value of each data set? (b) what is range for each data set? (c) what is the interquartile range for each data set? (d) which battery would you recommend to a friend? explain your choice

A] from the box plots representing the battery brands we shall have the median as follows:
brand x- median is 13
brand y- median is 16

b]  what is range for each data set?
range is given by:
maximum-minimum 
brand x
maximum=16
minimum =11
range=16-11=5
brand y
maximum=18
minimum=10
thus
range=18-10=8
c] what is the interquartile range for each data set?
iqr=[3rd quartile]-[1st quartile]
brand x:
3rd quartile=14.5
1st quartile=12
iqr=14.5-12=2.5
brand y
3rd quartile=17
1st quartile=15
iqr=17-15=2
d] i'd recommend brand y because the average life is greater than brand x. that means it lasts more as compared to the latter