MDM4U f1+ — Statistics of One Variable Assignment
Temperature data from two different Canadian towns during the month of April 2017 is recorded below.
Goderich, ON
The following table shows the temperature in degrees Celsius for the town of Goderich during April
2017. (Data from “Goderich, Canada.” AccuWeather. N.p., Apr XXXXXXXXXXWeb. 23 May 2017. <
http:
www.accuweather.com/en/ca/goderich/n7a/april-weathe
54980>
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
XXXXXXXXXX
Find the mean, median, and mode temperatures, and comment on your findings.
Use Excel to find the standard deviation of the temperatures, and explain its relevence.
Find the upper and lower quartiles of the data, and use them to draw a box and whisker diagram of the
temperatures.
20 marks
Vancouver, BC
The temperatures from Vancouver during April 2017 are given as grouped data in the table below. (Data
from “Vancouver, Canada.” AccuWeather. N.p., Apr XXXXXXXXXXWeb. 23 May 2017. <
https:
www.accuweather.com/en/ca/vancouve
v5
april-weathe
53286>
Temperature (°C) Frequency
9 ≤ w < 11 3
11 ≤ w < 13 6
13 ≤ w < 15 20
15 ≤ w < 17 1
Find the mean temperature.
Draw a histogram to represent the distribution of temperatures.
Create a cumulative frequency table, and from it, draw a cumulative frequency curve. Use the curve to
find the median and upper and lower quartiles.
What do the mean, median and quartiles tell you about the distribution of temperatures in Vancouver?
Use the median and quartiles to draw a box and whisker diagram on the same scale as the one for
Goderich.
20 Marks
http:
www.accuweather.com/en/ca/goderich/n7a/april-weathe
54980
https:
www.accuweather.com/en/ca/vancouve
v5
april-weathe
53286
Analysis and Comparison
What conclusions can be drawn from the measures of central tendency for Goderich and Vancouver?
What differences are there between the quartiles for Goderich and Vancouver? What can you conclude
from these differences?
How is this shown by the Box and Whisker Plots? What extra information do those graphs give you?
What overall conclusions can be made about the weather conditions in Goderich and Vancouver?
Describe what else the various calculations and graphical representations have told you about the
temperatures in Goderich and Vancouver.
Draw comparisons between the two towns.
10 marks