At the beginning of each school year, Madison Middle School orders new shirts for the entire student body. Each student receives
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The best type of chart for quickly deriving the mode of a sample data is called the Stem-and-Leaf Plot.
<h3>What is a Stem-and-Leap Plot?</h3>
In statistics, the Stem-and-Leaf Plot is an easy-to-make easy-to-read kind of graph that is derived from the table holding the sample data.
The Box-and-Whisker Plot on the other hand is best for visually depicting the five-number summary of any set of data, which are:
- Minimum
- First Quartile
- Median (Second Quartile)
- Third Quartile; and
- Maximum.
It is to be noted that referenced plots are not indicated hence, the general answer.
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The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars (not all zero) such that
which leads to the system of linear equations,
From the third equation, we have , and substituting this into the second equation gives
and in turn, . Substituting these into the first equation gives
which tells us that any value of will work. If
, then
and
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.