Five Digits

A Maths Starter of The Day

There are five single digit numbers hidden behind these clouds.

Their mean, median, mode and range are all the same. What are they?

 

 

 

 

 

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Keywords: Starter | Averages

  • Keeley Howe, Central Sussex college haywards heath England
  • Thursday, November 08, 2007
  • "3 6 6 7 8

    mean = 6
    mode = 6
    median = 6"
  • Mr Fogiel, Cults Academy
  • Friday, November 09, 2007
  • "That answer is wrong - range is 5 not 6.

    0,0,0,0,0 works."
  • Certificate group, stoke college students
  • Friday, November 09, 2007
  • "this problem doesnt show the range which is 5 not 6 as the other answers. our class has found that 2,4,4,4,6 gives the correct answers for ALL problems"
  • Kangi Chalashika,
  • Saturday, May 17, 2008
  • "I have an answer to add 3,4,5,5,8

    range= 8 - 3 = 5

    Mode = 5

    Mean = (3+4+5+5+8)/5 = 5

    Median = 5"
  • G & T Year 9, Vietnam
  • Tuesday, November 11, 2008
  • "We generated the solutions
    1, 2, 2, 2, 3
    2, 4, 4, 4, 6
    3, 6, 6, 6, 9
    3, 4, 5, 5, 8
    0, 0, 0, 0, 0
    and discussed the concept of "families" of solutions and their general forms
    x, 2x, 2x, 2x, 3x and 3x, 4x, 5x, 5x, 8x respectively
    This allowed us to consider the idea of proof for these general solution forms
    great for the G & T group..."
  • Mr Dunkley, A - Level
  • Wednesday, March 04, 2009
  • "We loved this starter,
    we used a, b, c, d, e and came up with the formula
    2a + d = 2c
    b = c
    and e = a + c
    Then used these to generate the solutions:
    4, 11, 11, 14, 15
    5, 6, 8, 8, 13
    5, 11, 11, 12, 16
    5, 12, 12, 14, 17
    5, 13, 13, 16, 18
    5, 14, 14, 18, 19
    7, 15, 15, 16, 22
    These in turn are generaters of there own families!
    Excellent starter."
  • 8b1 G And T, Seaham School
  • Monday, January 18, 2010
  • "1,2,2,2,3 then double them 2,4,4,4,6
    3,4,5,5,8 and 3,6,6,6,9.
    We thought about 0,0,0,0,0 but it has no mode."

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This starter has scored a mean of 4.1 out of 5 based on 22 votes.
 

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Answers

0

0

0

0

0

Mean = 0,  Median = 0,  Mode = 0,  Range = 0.

OR

1

2

2

2

3

Mean = 2,  Median = 2,  Mode = 2,  Range = 2.

OR

2

4

4

4

6

Mean = 4,  Median = 4,  Mode = 4,  Range = 4.

OR

2

5

5

6

7

Mean = 5,  Median = 5,  Mode = 5,  Range = 5

OR

3

4

5

5

8

Mean = 5, Median = 5,  Mode = 5,  Range = 5

OR

3

6

6

6

9

Mean = 6,  Median = 6,  Mode = 6,  Range = 6.