A common evening short run for me is down to Spanish, around the ball field through the arch in the wall near Our Lady of Mercy Vocational and Technical School, and back home. While the Germans thought of Pohnpei as a colony, hence Kolonia, the Spanish named their settlement Santiago de la Ascension - saint of the ascension. Thus I refer to this route as a "Santiago arch run." The route is almost exactly four kilometers, just over two miles. Like many runners, I time my runs and record the duration of each run in a log book.

Time (min)

21.8

22.2

22.2

23.1

23.1

23.2

24.1

24.4

25.0

25.0

25.4

27.0

27.4

28.7

29.1

30.0

32.1

__________ What level of measurement is the data?

__________ Find the sample size n for the data.

__________ Find the minimum.

__________ Find the maximum.

__________ Find the range.

__________ Find the midrange.

__________ Find the mode.

__________ Find the median.

__________ Find the sample mean x.

__________ Find the standard deviation sx.

__________ Find the sample coefficient of variation CV.

__________ If this data were to be divided into five classes, what would be the width of a single class?

Determine the frequency and calculate the relative frequency using five classes.
Record your results in the table provided.

Time CUL (cm)

Frequency (f)

Relative Frequency p(x)

x * p(x)

Sum:

Sketch a frequency histogram chart of the data anywhere it fits, labeling your horizontal axis and vertical axis as appropriate.

____________________ What is the shape of the distribution?

____________________ Calculate the estimated mean for the population based on the distribution by calculating ∑ x * p(x)