By Arthur H. Hall (auth.)

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**Extra resources for An Introduction to Statistics**

**Example text**

Millions. It also happens that data may be given in different units with the result that means and standard deviations appear to be widely divergent. These problems are overcome by comparing the standard deviation with the mean. The fraction Standard Deviation Mean is called the Coefficient of Variation. 2. Note that in some texts the coefficient of variation is given as a percentage. 33 r_xample In 5 Test matches cricketers A and B scored runs as shown. 8 When means and standard deviations are considered together it seems fairly clear that A is more likely to be out without scoring.

J R X 0 Figure 9B IfP has coordinates (9, 8) and Q (27, 14) then PR = 18 and QR = 6 6 1 m= 18=3. ) An alternative method is to use simultaneous equations to find m and c; this is possible because any point on the line has a pair of coordinates which satisfies the line equation. For the same values of P and Q we would have and 8 = 8m + c 14 =27m+ c for P, for Q leading to the same result as before. Once the line has been drawn, any two convenient points may be chosen for either method, but more accurate results will follow if the two are separated as widely as possible.

What is the error in (a) their sum, (b) their average? 8. A sack of potatoes weighs I cwt correct to the nearest lb. What are (a) the maximum possible, (b) the minimum possible, weights? A pound. of potatoes is weighed correct to the nearest ounce. What are (c) the maximum, (d) the minimum, weights of a 'pound' of potatoes. How many 'pounds' can be got from a 'cwt' of potatoes? Give your answer in the form x ± y. 9. A typing pool varies from 12 to 16 girls whose output is 40 ± I 0 per cent letters per day per girl.