SOLUTION: 1. The following table shows the weight (in kilograms) of 50 sacks of potatoes leaving a farm shop. 10.41 10.06 9.38 11.36 9.65 11.24 10.58 8.55 10.47 8.22 9.36 9.63 10.33 10.0

Question 1160792: 1. The following table shows the weight (in kilograms) of 50 sacks of potatoes leaving a
farm shop.
10.41 10.06 9.38 11.36 9.65
11.24 10.58 8.55 10.47 8.22
9.36 9.63 10.33 10.05 11.57
11.36 10.82 8.93 10.08 9.53
10.05 11.30 11.01 9.72 10.67
9.91 10.26 10.67 10.21 8.18
8.70 9.49 10.98 10.01 9.92
9.27 11.69 9.66 9.52 10.40
10.61 8.83 10.11 10.37 9.73
10.72 10.63 12.86 10.62 10.26
Display these data in a stem and leaf plot. Note the number of decimal places and adjust
accordingly. State clearly both the stem and the leaf units.
2. A market researcher asked 650 students what their favourite daily newspaper was. The results are summarised in the frequency table below. Represent these data in an appropriate
graphical manner.
The Times 140
The Sun 200
The Sport 50
The Guardian 120
The Financial Times 20
The Mirror 80
The Daily Mail 10
The Independent 30
3. Produce a histogram for the data on length of mobile phone calls from the exercises in
Chapter 1 (listed again below) and comment on it.
281.4 293.4 306.5 286.6 298.4
312.7 327.7 311.5 314.8 303.3
270.7 293.9 310.9 346.4 304.6
304.1 320.7 283.6 337.5 259.6
305.4 317.9 289.5 286.9 300.5
278.3 300.1 292.6 312.9 302.5
293.2 267.5 326.9 257.7 285.9
299.6 293.9 303.9 323.7 263.5
281.1 306.9 310.2 301.6 313.9
314.8 292.0 302.4 267.9 292.0

Consider the following data for daily sales at a small record shop, before and after a local
radio advertising campaign.
Daily Sales Before After
1000 ≤ sales < 2000 10 7
2000 ≤ sales < 3000 30 10
3000 ≤ sales < 4000 40 25
4000 ≤ sales < 5000 20 35
5000 ≤ sales < 6000 15 37
6000 ≤ sales < 7000 12 40
7000 ≤ sales < 8000 10 20
8000 ≤ sales < 9000 8 10
9000 ≤ sales < 10000 0 5
Totals 145 189
(a) Calculate the percentage relative frequency for before and after.
(b) Calculate the cumulative percentage relative frequency for before and after.
(c) Plot the relative frequency polygons for both on one graph and comment.
(d) Plot the ogives for both on one graph.
(e) Find the level of sales, before and after, that are reached on 25%, 50% and 75% of
days.

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