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Statistics, STD2 S1 EQ-Bank 9 MC

 The stem plot below shows the height, in centimetres, of 20 players in a junior football team.
 

A player with a height of 179 cm is considered an outlier because 179 cm is greater than

  1. 162 cm
  2. 169 cm
  3. 173 cm
  4. 175.5 cm
Show Answers Only

`D`

Show Worked Solution

`Q_1 = (148 + 148)/2 = 148`

`Q_3 = (158 + 160)/2 = 159`

`IQR = 159-148 = 11`

`text{Upper fence}` `= Q_3 + 1.5 xx IQR`
  `= 159 + 1.5 xx 11= 175.5`

 
`=> D`

Filed Under: Displaying Data - Other Charts, Displaying Data - Other Charts, Other Charts Tagged With: Band 4, common-content, smc-6311-10-Stem-and-Leaf, smc-6311-40-Outliers, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-822-50-Outliers

Statistics, STD2 S1 2021 HSC 3 MC

The stem-and-leaf plot shows the number of goals scored by a team in each of ten netball games.
  

What is the mode of this dataset?

  1. 5
  2. 18
  3. 25
  4. 29
Show Answers Only

`C`

Show Worked Solution

`\text{Mode}  -> \text{data point with highest frequency}`

`\text{Mode}  = 25`

`=> C`

Filed Under: Bar Charts, Histograms and Other Graphs, Data Analysis, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Charts Tagged With: Band 3, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-4224-15-Mode, smc-4224-40-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf

Statistics, STD2 S1 2005 HSC 24a

  1. Draw a stem-and-leaf plot for the following set of scores.
  2.  

     

    `21\ \ \ 45\ \ \ 29\ \ \ 27\ \ \ 19\ \ \ 35\ \ \ 23\ \ \ 58\ \ \ 34\ \ \ 27`    (2 marks)

    --- 6 WORK AREA LINES (style=blank) ---

  3. What is the median of the set of scores?   (1 mark)

    --- 2 WORK AREA LINES (style=lined) ---

  4. Comment on the skewness of the set of scores.   (1 mark)

    --- 2 WORK AREA LINES (style=lined) ---

Show Answers Only

a.

b.    `28`

c.    `text(The data has a tail that stretches to the right)`

`:.\ text(Data is positively skewed.)`

Show Worked Solution
a.    HSC 2005 24a

  
b.   
`text(10 scores)`

`:.\ text(Median)` `= text{(5th + 6th)}/2`
  `= (27 + 29)/2= 28`

  
c.
  `text(The data has a tail that stretches to the right)`

`:.\ text(Data is positively skewed.)`

Filed Under: Bar Charts, Histograms and Other Graphs, Displaying Data, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Chart Types, Other Charts, Stem & Leaf, Box & Whisker Tagged With: Band 4, Band 5, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-5076-20-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

Statistics, STD2 S1 2006 HSC 4 MC

A set of scores is displayed in a stem-and-leaf plot.
 

 2UG-2006-4MC

 
What is the median of this set of scores?

  1. 28
  2. 30
  3. 33
  4. 47
Show Answers Only

`C`

Show Worked Solution

`text(10 scores)`

`text(Median)= text{5th + 6th}/2= (28 + 38)/2= 33`

`=>  C`

Filed Under: Bar Charts, Histograms and Other Graphs, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Chart Types, Other Charts, Stem & Leaf, Box & Whisker Tagged With: Band 4, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-4224-20-Median, smc-4224-40-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

Statistics, STD2 S1 2008 HSC 3 MC

The stem-and-leaf plot represents the daily sales of soft drink from a vending machine.

If the range of sales is 43, what is the value of  2008 3 mc  ?

 
 

  1. 4
  2. 5
  3. 24
  4. 25
Show Answers Only

`A`

Show Worked Solution

`text(Range = High) – text(Low) = 43`

`:.\ 67 – text(Low)` `= 43`
`text(Low)` `= 24`

    
`:.\ N = 4`

`=>  A`

Filed Under: Bar Charts, Histograms and Other Graphs, Data Analysis, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Chart Types, Other Charts, Stem & Leaf, Box & Whisker Tagged With: Band 4, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-4224-10-Range, smc-4224-40-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

Statistics, STD2 S1 2009 HSC 24a

The diagram below shows a stem-and-leaf plot for 22 scores. 
 

2UG-2009-24a
 

  1.  What is the mode for this data?   (1 mark)

    --- 1 WORK AREA LINES (style=lined) ---

  2.  What is the median for this data?   (1 mark)

    --- 1 WORK AREA LINES (style=lined) ---

Show Answers Only

a.   `78`

b.   `46`

Show Worked Solution

a.    `text(Mode) = 78`

b.    `22\ text(scores)`

`=>\ text(Median is the average of 11th and 12th scores)`

`:.\ text(Median)= (45 + 47)/2=46` 

Filed Under: Bar Charts, Histograms and Other Graphs, Data Analysis, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Chart Types, Other Charts, Stem & Leaf, Box & Whisker Tagged With: Band 3, Band 4, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-4224-15-Mode, smc-4224-20-Median, smc-4224-40-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

Statistics, STD2 S1 2012 HSC 1 MC

A set of 15 scores is displayed in a stem-and-leaf plot.
 

2012 1 mc 
 

 What is the median of these scores?

  1. 7 
  2. 8
  3. 77
  4. 78
Show Answers Only

`D`

Show Worked Solution

`text(15 scores)\ \ =>\ \ text(Median is 8th)`

`:.\ \ text(Median is)\ \ 78`

`=>  D`

Filed Under: Bar Charts, Histograms and Other Graphs, Data Analysis, Displaying Data - Other Charts, Displaying Data - Other Charts, Other Chart Types, Other Charts, Stem & Leaf, Box & Whisker Tagged With: Band 4, common-content, num-title-ct-core, num-title-qs-hsc, smc-1128-24-Stem and Leaf, smc-4224-20-Median, smc-4224-40-Stem and Leaf, smc-6311-10-Stem-and-Leaf, smc-6531-10-Stem-and-Leaf, smc-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

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