3.The stem and leaf diagram shows the ages of the 35 male passengers on a cruise.AgeKey:1 3 represents an age of 13 years13(1)279(2)31288(4)45567889(7)52233445668(10)60114447(7)736(2)878(2)(a)Find the median age of the male passengers.(1)(b)Show that the interquartile range (IQR)of these ages is 16(2)An outlier is defined as a value that is more than1.5 x IQR above the upper quartileor1.5×IQR below the lower quartile(c)Show that there are 3 outliers amongst these ages.(3)(d)On the grid in Figure 1 on page 9,draw a box plot for the ages of the male passengerson the cruise.(4)Figure 1 on page 9 also shows a box plot for the ages of the female passengers onthe cruise.(e)Comment on any difference in the distributions of ages of male and female passengerson the cruise.State the values of any statistics you have used to support your comment.(1)Anja,along with her 2 daughters and a granddaughter,now join the cruise.Anja’s granddaughter is younger than both of Anja’s daughters.Anja had her 23rd birthday on the day her eldest daughter was born.When their 4 ages are included with the other female passengers on the cruise,the box plotdoes not change.(f)State,giving reasons,what you can say about(i)the granddaughter’s age(ii)Anja’s age.(3)

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