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) Identify which of the following options is a quantitative variable and explain why.(2 Marks)
A. the colour of an automobile
B. 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 (e) above, which variables are qualitative and why?
A. the colour of an automobile
B. a person's region of residence
C. a person's postal code
(6 Marks)
(g) You took a survey of 100 people and found that 60% of them like chocolate and 40% do not.
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
D. a sentence describing the results
E. all of the above
QUESTION 5
(a) State and describe 5 common data distribution patterns in statistics.
[20 Marks]
(10 Marks)
(b) If the formula for a regression line is y= 9x + 17. Describe the components of this line and the
interpretation thereof.
(5 Marks)
3