Example questions

1.

You are studying the distance people travel to apply for work. The distances you observe, in kilometres are as follows: 8.3, 11.7, 6.9, 9.1, 6.2, 7.0, 6.7, 5.6, 12.9, 9.1, 8.5, 7.8, 8.0, 5.9, 9.3, 6.5, 4.5. Describe the batch.

2.

Use a box and whiskers diagram to depict the batch provided in 1.

3.

You want to run a standard linear regression on the following data set.
Cave floor area: 550, 1800, 20, 201, 1200, 800, 140, 720, 1500, 480.
Numbers of cave paintings: 200, 150, 102, 130, 190, 170, 121, 140, 130, 140.
How will you transform the data?

4.

Using the data set in question 4 carry out a regression analysis. What is the r value?

5.

Calculate measures of central tendency on the following batch: 8.3, 11.7, 6.9, 9.1, 6.2, 7.0, 6.7, 5.6, 12.9, 9.1, 8.5, 7.8, 8.0, 5.9, 9.3, 6.5, 4.5

6.

Using the batch from question 6 calculate measures of dispersion (spread).

7.

Calculate the Spearman’s r value for the following data:
House floor area: 550, 1800, 20, 201, 1200, 800, 140, 720, 1500, 480.
Number of occupants: 200, 150, 102, 130, 190, 170, 121, 140, 130, 140.

8.

Calculate the value of the following age versus sex data:
Old females 93
Young females 9
Old males 43
Young males 33
Give not only the value but also the d.f. and p values you have calculated.

9.

Use a t-test to determine how confident we can be that molar length from the following two species are different: the batch from Taxon A is 18.14 ± 6.9 (n = 12) and the batch from Taxon B is 15.93 ± 5.8 (n = 24).