Question

2. Suppose that we are using a box-and-whisker plot to depict a population or sample of measurements. How would you interpret each of the following. (a) The whisker to the right is much longer than the whisker to the left. [2 marks] (b) The interquartile range is much longer than either of the whiskers and there are no outliers. [2 marks) (c) The distance between Q. and the median is far less than the difference betwen the median and Q3 [2 marks] (d) The interquartile range is very short. [2 marks]

Answer 1

I for clearity of physical Intrepoetation of giver og vestan an using an example to answer your questions- An ecologist did survey on too trees to know the age of trees later the draw box and whisker plot to map is conclusion. As given in Question suppose he draw whisker of this type 0-25%opo 251-50% 307757 @ left whisker right whiskey 75 - loo Q Q 03 Qy + at + 4 8 19 21 33 50 is less Right whiskes longer median 21 50% tree age then a Qq Range smaller than a Range there are more trees blwage 14t02 X ♡ then alto (smaller Rangel n than Oz Rarge Range of Oz is smaller 259260 let in 7 year aje ditterende (14–2 you to = 25"no population live in, 12 year age diff. (21-33 years) Interroartile Range lie in age (14-33 years) 50mA population lie in this age. represent populatio 25-50% ape LIQ 90 75% are no outlier lies all choosen tree le approx while a age is between 8-50 yeur

density 30-759. 25% Population age no=15 So to population age 15-20 25% population age. distance b/w Q & Q acc dist. b/w Oz - O₂ - Population of free density in age 25-50" >>> population of tree age Interamotile gives 25 – 75% population age it it is short implies number of treesage we choosen lies in interaquartile range is much more age group 45 interacastile range (25%-150) than any other So