Box and whisker plot part ii

1. NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
https://www.slideshare.net/NadeemUddin17
https://nadeemstats.wordpress.com/listofbooks/

2. Example-1
Consider the following box and whisker plot.

3. Find
(i) Smallest and the largest values
(ii) Median
(iii) First and third quartiles
(iv) Whether the distribution is symmetrical or skewed
along with justification.

4. Answers
(a) (i) 24, 44
(ii) 33.5
(iii) 29, 38
(iv) Symmetrical because Q3 – Q2 = Q2 – Q1
(b) (i) 57, 94
(ii) 70
(iii) 66, 73
(iv) Negatively skewed because Q3 - Q2< Q2 – Q1
(c) (i) 6 , 19
(ii) 10
(iii) 8 ,15
(iv) Positively skewed because Q3 – Q2 > Q2 – Q1