SHOW all work in the booklet. Calculator is allowed but No cell phone as a calculator.
Student's t-table and z-table will be provided.
Q1.(10 points) Consider the following data set consisting of the life expectancy in years for males for 40
African countries: 46, 47, 48, 48, 49, 67, 55, 46, 40, 46, 41, 43, 45, 47, 48, 51, 51, 52, 55, 56, 59, 70, 71,
74, 76, 78, 84, 87, 87, 90, 90,67,48,59,78,56,78,56,60,60
a. Obtain the five-number summary (i.e. Min, Q1, Q2=median, Q3, Max) for the data.
$Q_1 =$
b. Construct a box plot for the data
c. For this frequency distribution, which measure of the center is larger, the median or the mean?
d. Circle the correct choice and fill in the blank: The median/ mean better describes the center of this
data set because the shape of this frequency distribution is _______________.
e. Complete the following sentence: The test score does not exceed _______________ for 75% of students in
this class.
f. Complete the following sentence: The test score does is at least _______________ for 75% of students in this
class.
