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June 2012 p63 q1
2434
Ashfaq and Kuljit have done a school statistics project on the prices of a particular model of headphones for MP3 players. Ashfaq collected prices from 21 shops. Kuljit used the internet to collect prices from 163 websites.
Name a suitable statistical diagram for Ashfaq to represent his data, together with a reason for choosing this particular diagram. [2]
Name a suitable statistical diagram for Kuljit to represent her data, together with a reason for choosing this particular diagram. [2]
Solution
(i) For Ashfaq, a suitable statistical diagram is a stem and leaf diagram. This is because it effectively shows the shape, spread, and range of the data, and is particularly useful for a small number of prices, such as the 21 prices collected by Ashfaq. It also allows for easy calculation of the median.
(ii) For Kuljit, a suitable statistical diagram is a histogram. This is because it shows the shape, spread, and modal class of the data, and is suitable for a large number of prices, such as the 163 prices collected by Kuljit. A histogram is more appropriate than a stem and leaf diagram for such a large dataset.