Context: Researchers near the south pole are studying penguins. The height of a random group of 17 penguins is given below.

height(inches):

3029.629.130.728.331.6
29.729.12930.528.829.8
28.829.328.92931.1

a) Create a stem-and-leaf plot for this data. When you enter the values below, please put your leaves into numerical order, from least to greatest. Note that this time, your "leaves" are the decimal places. For example, 28.3 can be represented as 28|3


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Key: 28 | 3 =


b) Use your work above to put the data in order:

,,,,,,,,,,,,,,,,


c) Build a "frequency table" that can be used to make a histogram.

ClassFrequeny (count)
28.3 to 28.9
29 to 29.6
29.7 to 30.3
30.4 to 31
31.1 to 31.7


d) Use your stemplot (or make a histogram from your frequency table) to describe the shape of the data.


e) Make calculations for measures of center:

Mean:

Median:


f) Make calculations of spread:

Range:


g) Put it all together in words (in context):

The heights of penguins are , centered about a median of inches (representing the height of a typical penguin), spread over a range of inches.