The following table gives the distribution of the ages of a sample of patients who
attended Hope Hospital last weekend.
Age (years) Frequency Relative frequency
5-14 6 0.08
15-24 9 -
25-34 - 0.24
35-44 24 -
45-54 15 -
55-64 - -
(i) What is the population in this study? 2 marks
(ii) What is the variable in this study? And which type of variable is it? 3 marks
(iii) What is the sample size? 2 marks
(iv) Complete the blank cells in the table 3 marks
(v) Use your new table to construct a histogram 10 marks
(vi) By observing your histogram in (v), determine whether it is skewed or not
Answers
Answer:
iv) Complete the blank cells in the table
Age (years)
Frequency
Relative frequency
Cumulative Frequency
5 - 14
6
0.08
6
15 - 24
9
0.12
15
25 - 34
x=18
0.24
15 + x
35 - 44
24
0.32
39 + x
45 - 54
15
0.20
54 + x
55 - 64
y=3
0.04
54 + x + y = 75
(i) What is the population of the study?
Patients who attend Hope Hospital.
(ii) What is the variable in this study?
Patient age.
(iii) What is the sample size?
75 patients aged 5 to 64.
Step-by-step explanation:
iv) Complete the blank cells in the table
Age (years)
Frequency
Relative frequency
Cumulative Frequency
5 - 14
6
0.08
6
15 - 24
9
0.12
15
25 - 34
x=18
0.24
15 + x
35 - 44
24
0.32
39 + x
45 - 54
15
0.20
54 + x
55 - 64
y=3
0.04
54 + x + y = 75
(i) What is the population of the study?
Patients who attend Hope Hospital.
(ii) What is the variable in this study?
Patient age.
(iii) What is the sample size?
75 patients aged 5 to 64.