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Statistics, 2ADV S2 SM-Bank 5 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: Other Chart Types (Y12) Tagged With: Band 3, common-content, smc-998-20-Stem and Leaf, smc-998-50-Outlier

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
  1.  
  2. `28`
  3. `text(The data has a tail that stretches to the right)`
  4.  

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

Show Worked Solution
i.    HSC 2005 24a

 

ii.  `text(10 scores)`

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

 

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

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

Filed Under: Bar Charts, Histograms and Other Graphs (Std 1), Displaying Data, Other Chart Types (Y12), Other Charts (Std 2), Other Charts (Std2-2027), 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-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 (Std 1), Other Chart Types (Y12), Other Charts (Std 2), Other Charts (Std2-2027), 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-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 (Std 1), Data Analysis, Other Chart Types (Y12), Other Charts (Std 2), Other Charts (Std2-2027), 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-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
  1. `78`
  2. `46`
Show Worked Solution

i.   `text(Mode) = 78`

 

ii.    `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 (Std 1), Data Analysis, Other Chart Types (Y12), Other Charts (Std 2), Other Charts (Std2-2027), 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-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 (Std 1), Data Analysis, Other Chart Types (Y12), Other Charts (Std 2), Other Charts (Std2-2027), 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-822-20-Stem and Leaf, smc-998-20-Stem and Leaf

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