Question

The list shows the number of songs on each album Dakota has downloaded.

15, 9, 8, 34, 18, 10, 14, 12, 8, 20, 22, 16, 32, 28, 4, 45, 15, 10, 7


1. Create a frequency table to represent the data.
2. Create a stem-and-leaf plot to represent the data.
3. Create a histogram to represent the data.
4. Compare and contrast the histogram to each of the other two representations. What are their similarities and differences?
5. How are the number of leaves, the frequencies in the frequency table and the height of the bars in the histogram related? What impact does the choice of intervals make on this relationship?

HELP PLease!!!

Answer 1

Numbers 1, 2 and 3 are attached while 4 & 5 will be written down.

4. the histogram and stem/leaf plot are showing the exact same data, and the data is sorted by the same grouping. the frequency table shows a different grouping but the same data is shown more in-depth.

5. the number of leaves, frequencies, and the height of the bars are related because they are different ways of showing the same groups of data just in different ways. The impact that the choice of intervals makes on this relationship in the data is how concentrated, or diverse the data is.

Answer 2

The frequency table, stem and leaf plot, and histogram are attached.

The histogram looks similar to the stem and leaf plot, except turned on its side. It is different from the frequency table in shape, but the numbers in the table are the same as the size of the bars.

The height of the bars in the histogram is the same as the number of leaves in the stem and leaf plot, and it is also the same as the numbers in the frequency table. Using larger intervals will result in larger bars on the histogram and larger numbers in the frequency table; smaller intervals will result in smaller bars and smaller numbers in the table.