TAKE-HOME ASSIGNMENT # 3A
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NOTE TH3 DUE DATE: SUNDAY MIDNIGHT
Find the mean of 3,24,30,47,43,7,47,13,44,39.
3+ 24+30+47+43+7+47+13+44+39 = 297 cg
Is the cereal sugar content MEAN representative of American consumption?
The mean sugar content would be representative if the sampling size was larger, selected
randomly within each brand of cereal and selected in a manner that was representative of the cereal
actually consumed by the population or by selected portions of the population (children vs adults).
Find the median of 3,24,30,47,43,7,47,13,44,39.
Reorder the data:
3,7, 13, 24 30, 39, 43, 44, 47, 47
30 + 39
Average of median numbers
: (30+39)/2 = 34.5 cg
Is the cereal sugar content MEDIAN representative of American consumption?
No. The same reasons as above plus the additional problem of selecting median numbers only to
represent your sample. If the sampling is not a perfect NORMAL bell curve distribution then the
median numbers will be skewed and less representative of the actual consumption.
Median – Mean = 34.5 – 29.7 = 4.8 cg
Find the mode of 3,24,30,47,43,7,47,13,44,39.
M = 47 cg
where 47 cg is the most often repeated number.
Is the cereal sugar content MODE representative of American consumption?
Compared to the mean and the median, the mode is even more skewed.
The mean calculation is
still our best estimate given the small sample size.
Mode – Mean = 47-29.7 = 17.3 cg difference.
Find the MIDRANGE of 3,24,30,47,43,7,47,13,44,39.
(3 + 47)/2 = 25 cg
Is the sugar content MIDRANGE representative of American consumption?
Where the median and mode are higher than the average, the midrange value is actually lower than
By calculating the midrange, mode and median we can show that the mean is definitely
the most “average” value. Relatively speaking, the mean is still the best estimate, despite the small
Midrange – Mean = 25 – 29.7 =
-4.7 cg difference