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Displaying Data, SM-Bank 041

Stuart collected the eggs from his free range chickens and recorded the number of eggs he collected each day for two weeks.
 

\(3,\ 1,\ 5,\ 5,\ 1,\ 3,\ 4,\ 1,\ 4,\ 1,\ 4,\ 5,\ 1,\ 4\)
 

  1. Represent this data as a dot plot using the grid below.  (2 marks)
     

  2. How many eggs were collected altogether?  ( 1 mark)
  3. What is the average number of eggs Stuart collected?  (1 mark)
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a.

b.    \(42\)  

c.    \(3\)

Show Worked Solution

a.

 
 

b.    \(\text{Total eggs}\) \(=5\times 1+2\times 3+4\times 4+3\times 5\)
    \(=42\)

 

c.    \(\text{Average number of eggs}\) \(=\dfrac{42}{14}\)
    \(=3\)

Displaying Data, SM-Bank 040

The heights, in centimetres, of David's hockey side are as follows:
 

\(172,\ 177,\ 171,\ 174,\ 174,\ 176,\ 173,\ 177,\ 174,\ 172,\ 174\)
 

  1. Represent this data as a dot plot using the grid below.  (2 marks)
     

  2. What is the average height of the players in David's hockey team?  (2 marks)
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a.

b.    \(174\ \text{cm}\)

Show Worked Solution

a.


 

b.    \(\text{Average height}\) \(=\dfrac{171+2\times 172+173+4\times 174+176+2\times 177}{11}\)
    \(=\dfrac{1914}{11}\)
    \(=174\ \text{cm}\)