I agree with the Predator and Streaker - they're using the word "count" in that question in place of the word "frequency" which is what you'd be more used to seeing. They're asking the frequency of the observation/how many times that observation occurred/the height of that column.
So you create your histogram starting at 63 with class intervals of 2. It would look something like this:
b) i) Because your intervals are going up by 2, the first column starts at 63; the second column starts at 65; the third column starts at
67b) ii) The third column is counting up frequency of data observations that were from 67 up to but not including the start of next class interval (69). Because our data points are all whole numbers, that means the third column counts the occurrences of 67s and 68s.
In the data set, this occurs
twice. I.e. 86 82 96 71 90 78
68 71
68 88 76 74 70 78 69 77 64 80 83 78 88 70 86
So the "count", a.k.a "frequency" is 2.
c) I won't redraw the histogram again, but you do the same method only this time your intervals are from 60 up to but not including 65... then 65 starts the next class interval, up to but not including 70... then 70 starts the next interval, and so on.
So the second column along, representing the interval 65 up to but not including 70 counts the occurrences of 65s, 66s, 67s, 68s, and 69s.
In the data set, this occurs
three times i.e.:
86 82 96 71 90 78
68 71
68 88 76 74 70 78
69 77 64 80 83 78 88 70 86
So the "count", that is, number of occurrences or frequency, is 3.
Hope that helps! :-)
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