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...

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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. 2017. Web. 23 May 2017. < http://www.accuweather.com/en/ca/goderich/n7a/april-weather/54980=""> 7 14 14 12 10 6 4 12 20 20 9 6 8 15 23 19 6 17 16 9 9 8 16 19 17 23 26 15 7 9 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. 2017. Web. 23 May 2017. < https://www.accuweather.com/en/ca/vancouver/v5r/april-weather/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-weather/54980 https://www.accuweather.com/en/ca/vancouver/v5r/april-weather/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 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-weather/54980="" https://www.accuweather.com/en/ca/vancouver/v5r/april-weather/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="">
Answered Same DayApr 21, 2021

Answer To: MDM4U f1+ — Statistics of One Variable Assignment Temperature data from two different Canadian towns...

Pooja answered on Apr 21 2021
153 Votes
Comparative Analysis of temperature data from two different Canadian towns during the month of April 2017
DESCRITIVE STATISTICS OF TEMPERATURE OF Goder
ich, ON
    Mean
    13.2
    Standard Error
    1.084266
    Median
    13
    Mode
    9
    Standard Deviation
    5.938768
    Sample Variance
    35.26897
    Kurtosis
    -0.83458
    Skewness
    0.383841
    Range
    22
    Minimum
    4
    Maximum
    26
    Sum
    396
    Count
    30
    Confidence Level(95.0%)
    2.217572
    
    Q1
    8
    Q2
    13
    Q3
    17.5
    IQR
    9.5
    Upper quartile
    31.75
    Lower quartile
    -6.25
    Coefficient of variance
    0.449907
Mean, Median & the mode is tells about the central tendency of the data set. These number represent the whole data of the data set.
From the above table we found that there is no much difference in the mean & median of the data set. both are having almost the same value. Mean is 13.2 & median is 13.
Mode is the number that occur most frequently in the data. In the given data set the number which occur more frequently is 9. i.e mode is 9.
From the standard deviation and coefficient of variance we can found that how much is the
data spread out around the mean.

Minimum 4 degree & maximum 26 degree Celsius temperature is reported in Goderich town.

Standard deviation tells about the how far is the data spread from the mean.
Mean is 13.2 having standard deviation 5.93. A low standard deviation means that most of the data values close to mean & high standard deviation means...
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