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Expert: - 4/5/2009


Question
In the question given the results represented by stem-and-leave diagram. I dont understand the question asking for,it is not clear.The question is "Sketch a diagram illustrating the percentages of students in the various grades." what diagram the question ask for?Is it stem & leaf or histogram or pie chart or curve graph or straight line graph or bar chart or frequency polygon or cumulative frequency diagram?Many thanks

Answer
Usually when the problem asks for percentages to be shown,
it is best to use a pie chart.

If your measurements were
4.0, 5.5, 5.8, 4.3, 3.9, 0.0, 5.0, 4.1, 3.5, and 4.1.
and we were to make a stem and leaf plot, what would be done is this:

Use the digits in the ones’ place for the stems and the digits in
the tenths’ place for the leaves.

0: 0
1:
2:
3: 9 5
4: 0 3 1 1
5: 5 8 0

A histogram could have bars labeled 1, 2, 3, 4, and 5.
The bar a the 0 would be 1 high since there is only one that starts with 0.  The bar at the 3 would be 2 high since there are 2 numbers that start with 3.  The bar at the 4 would be 4 high since that data contains a 4.0, 4.3, 4.1, and 4.1.  The bar at the 5 would be 3 high since we can find a 5.5, 5.8, and 5.0.

The straight line is used for estimating the date with a straight line.  Here we would try and find a line that fit the following x,y:
0,1; 1,0; 2,0; 3,3; 4,4; 5,3.  In this case, a line really wouldn't fit very well to what is obeserved.

The cumulative frequency would be the number less than or equal to that value.  The would be
0: 1
1: 1 (1+0)
2: 1 (1+0+0)
3: 3 (1+0+0+2)
4: 8 (1+0+0+2+4)
5: 11 (1+0+0+2+4+3)

Again, since they are interested in percentages, the pie chart would probably be the most useful.  The next one, if a pie chart was not desired would probably be the cumulative distribution.  

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