Question

Q 1.   When constructing a boxplot, which of the following steps is not necessary?
    A.   Determine the three quartiles (Q1, Q2, Q3)
    B.   Calculate the mean
    C.   Determine the IQR
    D.   Draw the box and whiskers
    E.   Identify outliers

Q 2.   In a study of the relationship between diabetes and weight, 380 patients were enrolled. The following table shows the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status.
    Underweight   Normal Weight   Overweight   Obese   Total
Diabetes   8   34   65   43   150
No Diabetes   12   85   93   40   230
Total   20   119   158   83   380
2.     
3.   If a patient is selected at random, what is the probability that they are obese and diabetic?
    A.   None of the above
    B.   43/150=0.29
    C.   1/380=0.003
    D.   43/83=0.52
    E.   43/380=0.11

Answer 1

Q(1) . When constructing a box plot , we need quartiles, median which is second quartile , interquartile range which is ( third quartile - first quartile ) . Also boxplot shows outliers, box and whishkers ( upper fence and lower fence). And while constructing a boxplot we don't need mean value. Thus , option ( b) is right.

Q(3) calculate probability that randomly selected person is obese and diabetic

Sol:. Here obese and diabetic means a person which is obese and comes under diabetic category . Thus there are 43 persons in that case

P( person is obese and diabetic)

= (Number of persons which are both diabetic and obese) / Total persons

= 43/380

=0.11

Thus otion (E) is right.