Choose the answer nearest to yours. Money answers calculated to the nearest £1.

The profits, in £’000, from a random sample of eight weeks from three connected newsagents, X, Y and Z, were found to be:

Week	1	2	3	4	5	6	7	8
Shop X	13	22	21	16	21	17	25	23
Shop Y	29	26	33	34	36	38	28	31
Shop Z	17	?	20	18	18	17	23	19

The median weekly profit for shop X is: (£’000)

Which of the following is not true of the mean?

The estimated mean of all weekly profits for shop Y is: (£’000)

The standard deviation of the weekly profits of shop Y in the above sample is: (£’000)

The estimated standard deviation of the weekly profit of shop Y for all weeks is: (£’000)

If the mean weekly profit for shop Z was £19 250, the missing value is:

The modal weekly profit for shop X over the eight weeks is: (£’000)

In total, the three shops employ three men who earn on average £7.20 per hour and seven women who earn on average £5.80 per hour. The average hourly pay for all these workers is:

The following frequency distribution of salaries represents a sample of salaries from a company and is for use in questions 21 to 24

 

Salary (£’000)	Frequency
20 and under 22	4
22 and under 24	5
24 and under 26	8
26 and under 28	7
28 and under 30	4
30 and under 35	2
35 and under 40	3
40 and under 60	3
60 and under 110	1

 

 

A reasonable estimate for the median value is: (£’000)

The best estimate for the modal value is: (£’000)

The best estimate for the mean is: (£’000)

The standard deviation of the sample above is:

The best estimation of the standard deviation for the whole company is: (£’000)

The annual salaries, £’000, of the part-time employees of a wholesale cash-and-carry firm are illustrated in the histogram below. The frequencies are per £2000 interval. Use the diagram to answer questions 14 to 20.

If you consider the data in this histogram to be skewed, rather than symmetrical, the best measures of location and dispersion to use are:

The value of the modal income (£’000) could be:

The median value could be:

The number of employees earning between 16 and 24 thousand pounds is:

The total number of employees could be:

The range of the incomes, in £’000, is exactly:

The quartiles of the incomes, in £’000, could be:

250 Business Studies students have taken a Statistics exam. The cumulative distribution of marks is shown below. Use the diagram to answer questions 21 to 25 .

The median mark in the Statistics exam could be?

The 20th percentile mark in the Statistics exam could be?

The percentage of students with Statistics marks over 50 could be?

The percentage of students with Statistics marks between 40 and 50 could be?

If the pass mark was 40%, the number of students who passed could be?

The following set of numbers represents the heights of a sample of three year old conifers grown by a commercial nursery. Use it to answer questions 26 to 28.

Heights (cm)Frequency

60 and less than 64 3

64 and less than 66 5

66 and less than 68 7

68 and less than 69 10

69 and less than 70 18

70 and less than 72 13

72 and less than 74 4

74 and less than 76 2

 

The mean value of the conifer heights is estimated to be:

The standard deviation of the tree heights in this sample is:

The standard deviation of all three year old tree heights is estimated to be:

If 20 invoices average £60 and 10 invoices average £30 the overall mean is:

If the mean of five numbers is 4.2 and four of them are 3, 4, 4, and 5 the fifth must be: