anonymous
  • anonymous
Construct both an ungrouped and a grouped frequency distribution for the data given below: 124 115 111 112 118 123 121 116 114 113 118 110 110 112 116 118 120 115 120 110
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
I know I have to organize them from least to greatest right?
sirm3d
  • sirm3d
yes. for the grouped frequency distribution, how many intervals are needed?
anonymous
  • anonymous
110,110,110,111,112,112,113,114,115,115,116,116,118,118,118,120,121,123,124

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anonymous
  • anonymous
I am going to say 4?
sirm3d
  • sirm3d
|dw:1354405916219:dw|
sirm3d
  • sirm3d
is there any formula for this number of intervals?
anonymous
  • anonymous
I don't follow if there is I can't remember what the formula is?
sirm3d
  • sirm3d
the general rule is to use not too few and not too many intervals. so 4 is okay me.
sirm3d
  • sirm3d
just make sure that the low interval must include 110 and the high interval must include 124. also, equal intervals are preferred over unequal intervals, particularly to ratio type of data.
anonymous
  • anonymous
|dw:1354406677376:dw|
anonymous
  • anonymous
does that look right?
sirm3d
  • sirm3d
nope. the sizes are different. try 110-113, 114-117,118-121, 122-125
anonymous
  • anonymous
okay it will be the numbers though right?
anonymous
  • anonymous
X F ----------------- 110 - 113 7 114 - 117 5 118 - 121 5 122 - 125 2
anonymous
  • anonymous
That looks better
sirm3d
  • sirm3d
=)
sirm3d
  • sirm3d
there are 20 data points in your given, but you only have a total of 19 in your grouped frequency distribution.

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