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

Question

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

anonymous · Answer

I know I have to organize them from least to greatest right?

sirm3d · Answer

yes.
for the grouped  frequency distribution, how many intervals are needed?

anonymous · Answer

110,110,110,111,112,112,113,114,115,115,116,116,118,118,118,120,121,123,124

anonymous · Answer

I am going to say 4?

sirm3d · Answer

|dw:1354405916219:dw|

sirm3d · Answer

is there any formula for this number of intervals?

anonymous · Answer

I don't follow if there is I can't remember what the formula is?

sirm3d · Answer

the general rule is to use not too few and not too many intervals. so 4 is okay me.

sirm3d · Answer

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 · Answer

|dw:1354406677376:dw|

anonymous · Answer

does that look right?

sirm3d · Answer

nope. the sizes are different. try 110-113, 114-117,118-121, 122-125

anonymous · Answer

okay it will be the numbers though right?

anonymous · Answer

X                            F
-----------------
110 - 113          7
114 - 117          5
118 - 121          5
122 - 125          2

anonymous · Answer

That looks better

sirm3d · Answer

=)

sirm3d · Answer

there are 20 data points in your given, but you only have a total of 19 in your grouped frequency distribution.