Download e-book for iPad: An Introduction to Statistics by Arthur H. Hall (auth.)

By Arthur H. Hall (auth.)

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The a)lthor drew 150 lines across a sheet of paper and then measured each to the nearest millimetre. The distribution is as shown. Lemgth (mm) f 21-23 :24-26 27-29 130-32 33-35 3 10 21 24 1 Length (mm) f 36-38 39-41 42-44 45-47 48-50 39 29 14 7 2 (a) Find the mode by drawing and check the result by calculation. (b) Calculate the 20th and 80th percentiles. 5 mm? 9. Bottles of detergent, stated to contain 500 ml, actually held varying quantities as shown. Cc. No. 485-489 2 490-494 7 495-499 16 500-504 23 42 505-509 20 510-514 9 5153 (a) (b) (c) (d) What is the modal quantity of detergent?

8. In a certain town the monthly figures o(unemployed during the years 1960 to 1969 produced the following cumulative frequency distribution: Unemployed 200 300 400 500 or more , , , Months Unemployed Months 120 112 79 42 600 or more 700 , 800 , 16 3 2 Convert this to a percentage cumulative frequency table, draw an ogive and use it to tabulate (as in Question 5) the following: lowest decile, lower quartile, median, upper quartile, highest decile. 27 9. A count of verses of the Psalms Number of verses, less than Number of psalms 6 13 II 58 16 95 21 117 26 131 31 137 41 143 61 148 (a) Construct the original frequency distribution given that in all there are 150 psalms and the data are correct.

The table shows the ages of a group of children as at their last birthdays. Explain why this cannot be treated as discrete data, and find the mean age in years and months and the standard deviation. Age (completed years) Number of children 2 4 3 7 5 4 10 6 3 5 7 I 10. Packets of a certain cereal are stated to have net contents of 340 grammes. These were checked by a weights and measures inspector who found that the amounts by which they were overweight (+) or underweight (-) could be recorded in the following way.

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