Pattern Seekers

1.   Some children were playing bowling on their wii.  They wanted to know the most common number of pins to be knocked over after the first bowl.  Here are the results they collected:

Go 1
7
Go 21
5
Go 2
4
Go 22
6
Go 3
0
Go 23
6
Go 4
5
Go 24
9
Go 5
6
Go 25
7
Go 6
9
Go 26
5
Go 7
8
Go 27
9
Go 8
7
Go 28
10
Go 9
7
Go 29
1
Go 10
10
Go 30
8
Go 11
6
Go 31
4
Go 12
10
Go 32
7
Go 13
10
Go 33
6
Go 14
8
Go 34
7
Go 15
7
Go 35
7
Go 16
3
Go 36
8
Go 17
0
Go 37
6
Go 18
7
Go 38
4
Go 19
10
Go 39
9
Go 20
8
Go 40
8

What is the mode of the data?



What is the median of the data?



What is the mean (average) of the data?







2.      These are the marks from a spelling test.

Jay                       16
Karen                   13
Dominic               18
Tariq                    13
Lara                     12
                           Oliver                   14
                           Gemma                19


         What is the median number of marks?
1 mark






3.      This table shows the weight of some fruits and vegetables.
         Complete the table.


2 marks








4.      Here is a bar chart showing rainfall.




        











Kim draws a dotted line on the bar chart.
         She says,
         ‘The dotted line on the chart shows the mean rainfall for the four months.’
         Use the chart to explain why Kim cannot be correct.

1 mark
         What is the mean rainfall for the four months?
1 mark






5.      Rob runs 100 metres ten times.
These are his times in seconds.



What is his mean (average) time?
1 mark



6.      Write a different number in each of these boxes so that the mean of the three numbers is 9.
       


1 mark
         

Write a number in each of these boxes so that the mode of the five numbers is 11.
     

1 mark






7.      Vicki puts 10 books on a shelf.
         The 10 books take up 28 centimetres.



         








What is the mean (average) thickness of her books?



2 marks



         The shelf is 120 centimetres long.
         Vicki fills the shelf with a mixture of books like the first ten books.
         Estimate how many books she can get on the 120 cm shelf.

2 marks









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