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QUESTION 3
[20 Marks]
You take a random sample of ten car owners and ask them, ''To the nearest year, how old is
your current car?" Their responses are as follows: 0 years, 1 year, 2 years, 4 years, 8 years, 3
years, 10 years, 17 years, 2 years, 7 years.
(a) To the nearest year, what is the standard deviation of this sample?
(15 Marks)
s=
Hint:
(b) What is the mode and median for the age of the cars?
(5 Marks)
QUESTION 4
[20 Marks]
(a) A Real Estate Agent tells you that the average cost of houses in a town is NAD2,176,000.
You want to know how much the prices of the houses may vary from this average. What
measurement do you need?
(2 Marks)
A. standard deviation
B. interquartile range
C. variance
D. percentile
(b) To the nearest thousandth, what is the mean of the following data set? 0.003, 0.045, 0.58,
0.687, 1.25, 10.38, 11.252, 12.001
(2 Marks)
(c) To the nearest tenth, what is the median of the following data set? 18, 21, 17, 18, 16, 15.5,
12, 17, 10, 21, 17.
(2 Marks)
(d) Define a percentile.
(2 Marks)
(e) Which of the following is an example of a quantitative variable (also known as a numerical
variable) and why?
(2 Marks)
A. the colour of an automobile
8.
a person's region of residence
C.
a person's postal code
D. a person's height, recorded in centimetres
E. choices (C) and (D)
(f) From the scenario in (d) above, which variables are qualitative and why?
(6 Marks)
(g)
You took a survey of 100 people and found that 60% of them like chocolate and 40%
don't. Which of the following results presentations gives the distribution of the "chocolate
versus no chocolate" variable?
(4 Marks)
A. a table of the results
B. a pie chart of the results
C. a bar graph of the results
3