In each of the multiple choice questions ONE of the answers is CORRECT, except where stated otherwise (and then ONE is WRONG).

Q1. In a sample survey the target population is

the collection of items or people used in a survey
the collection of items or people to which the results       should apply
the whole collection of people in an area
all the people on a list from which a sample is chosen
all the people on a list from which a sample is chosen

Q2. Variates may be qualitative or quantitative, and the latter may be either discrete or        continuous. New entrants to a large organisation are given a routine medical examination,        in which three of the recorded variates are: age in years; weight in grams; colour of        eyes.
       These variates are, respectively,

qualitative, discrete, discrete
quantitative, discrete, discrete
quantitative, continuous, discrete
qualitative, discrete, qualitative
discrete, continuous, qualitative

Q3. The full numerical information on every item in a set of data is preserved in

a stem-and-leaf diagram
a histogram
a box-and-whisker diagram
a frequency polygon
a cumulative frequency diagram

Q4. In the following pairs, chosen from tables and diagrams, the first one provides adequate       information to construct the second, except in one case. Pick out the odd case.

frequency table, histogram
dot plot, histogram
stem-and-leaf diagram, box-and-whisker plot
tally count, bar chart
frequency table, stem-and-leaf diagram

Q5. An index of quality of service in an organisation is made up of scores on six operations which it offers, weighted by their relative importance. Operations F, G, H, J, K, L are assigned weights w = 5, 4, 4, 3, 2, 2 respectively. If the respective scores are x = 7, 6, 5, 7, 8, 9 the index is:

3.3
7.0
13.4
6.7
2.1

 

 

Q6. A cyclist trains each day over the same route. Sometimes he is delayed by weather conditions or other traffic. The times in minutes over 30 days are shown in the following stem-and-leaf diagram.
2 | 8 9
3 | 0 0 1 2 2 2 3 3 4 4 4 4
3 | 5 5 6 6 6 6 7 7 7 8 8 9 9
4 | 0 1 1
The median and quartiles are:

33, 35, 37
32.5, 35, 37.5
33, 36, 38
32, 34, 38
32, 35, 37

Q7. Eleven subjects carried out the same task using a pocket calculator. The times (in seconds) taken were: 69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. The range, median and mid-spread are:

37, 79, 16
21, 79, 7
37, 72, 8
26, 81, 8
26, 72, 7

Q8. A set of data has mean 4.3 and standard deviation 2.5. Each observation is multiplied by 10 and the result decreased by 2. The mean and standard deviation of the transformed data are

41.0, 23.0
2.3, 0.5
4.3, 2.5
41.0, 25.0
43.0, 25.0

Q9. The times in minutes that it takes a man to visit a shop, collected over 14 trips, are
11, 12, 13, 13, 14, 15, 16, 18, 20, 23, 24, 26, 29, 35.

From the following pairs of statistics pick out the pair which are equal when calculated.

median, mean
third quartile, range
first quartile, mid-spread
geometric mean, mean
mode, median

Q10. The sum (∑i) of {i (i – 1)} when i runs from 0 to 5 is

70
42
41
40
55

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