Use the datasheet (attached at the end of the question section) to help answer the following questions.

1. Find the measures of central tendency (mean, median, and mode).
2. Provide an interpretation of what the measures of central tendency tell you about the data. (Compare the mean and the median). Which measure of central tendency is most appropriate to use with this data set? Why?
3. Find the range and interquartile range. What ranges are approximately 50% of observations between? (4)
4. Identify 2 possible outliers. Use the test for outliers to determine whether or not these candidates qualify.
5. Find the standard deviation of this data set
6. Why do you think that I asked you to use 'sample' in #6? (1)
7. Provide a brief summary of your findings. What do the numbers tell you about how the data is distributed? Where is it most dense? Where is it least dense? What is the skew? What is the modal class in the histogram? How does it relate to the densest region of the box plot?

Gask Ridge Site Spacings

The numbers represent the distances between known sites on the Roman Gask Ridge Frontier. The sites used to be the locations of Old Roman Watchtowers.

A map of site locations

A Typical Roman Watchtower

TABLE ONE: GASK RIDGE SITE SPACINGS

Glenbank - Greenloaning c2,300m

Greenloaning - Ardoch c2,750m

Ardoch - Blackhill Wood 900m

Blackhill Wood - Shielhill South 875m

Shielhill South - Shielhill North 950m

Shielhill North - Kaims Castle 875m

Kaims Castle - Westerton 2,300m

Westerton - Strageath c4,200m

Strageath - Parkneuk 1,750m

Parkneuk - Raith 1,520m

Raith - Ardunie 1,510m

Ardunie - Roundlaw 1,110m

Roundlaw - Kirkhill 960m

Kirkhill - Muir o' Faul. 1,440m

Muir o' Fauld - Gask House 870m

Gask House - Witch Knowe 800m

Witch Knowe - Moss Side 1,120m

Miss Side - Midgate 1,400m

Midgate - Westmuir c915m

Westmuir - Peel c3,975m

Peel - Huntingtower c1,940m

Huntingtower - Bertha c3,175m