# statistics

Homework 1 Due Friday, September 09, 2022
Alternatively, submit you solutions, (on paper), in class on Friday, September 09.
1. A Math 273 class has 40 students. You are required to undertake a study to estimate the percentage
of the students in the class who have type B blood.
(a) What is the population for this study?
(b) What is the variable for this study?
(c) Describe how you would draw a simple random sample of 10 students for this study.
2. A new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms
have revealed themselves. The table below gives the lengths of time, in months, a sample of 40 patients
lived from the start of treatment until their deaths.
2 4 11 15 16 17 22 44 37 16
14 24 25 15 26 17 33 29 35 44
13 21 22 10 12 8 52 32 16 20
11 34 29 27 8 24 18 51 33 34
(a) What is the population for this study?
(b) What is the variable for this study?
(c) Construct a grouped frequency distribution for the data, consisting of seven classes.
(d) Construct a histogram. How would you describe this histogram?
(e) Construct a frequency polygon.
(f) Construct an ogive.
3. The nal letter grades earned on a mathematics course are given in the table below.
A B C D F W
10 11 20 12 3 4
(a) Use a pie chart to represent this data.
(b) Use a bar chart, with vertical bars, to represent this data.

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