Step-by-step explanation:
Suppose we have given temperature are: 42,46,54,65,75,85,29,31,39,48,57,67,89,87,80,68,58,46,73,71,64,52,43,33.
a)- So, the Box plot of this data is drawn in graph.
b)- Median = 57.50
We have 24 temperatures. For finding the Median: Firstly we arrange data in ascending or descending order, after that we take the middle value of data, here we have two values 57 & 58 (Since the length of data is even number). After that, we find the average of both number which is 57.50 (These is also clear by Box plot, the middle line drawn in the box is median)
c)- 71.50 It can be found by the Third Quartile, It can be found manually or by box plot ( the top endpoint of the box represents the third quartile).
d)- 45.25 It can be found by First Quartile, It can be found manually or by box plot ( the bottom endpoint of the box represents the first quartile).
e)- The conclusion we get is:
The lowest temperature in Maryland is 29 (it is the lowest point of whisker).
The highest temperature in Maryland is 89 (it is the highest point of whisker).
The average temperature in Maryland is 58.42