An Introduction to Statistics by Arthur H. Hall (auth.)

By Arthur H. Hall (auth.)

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5 The difference is entirely due to the extremely large value of 100 in (b). Extreme values do not affect the mode or the median. EXERCISE 7 1. Find the mode of each of the following distributions (i) by accurate drawing and measurement, (ii) by calculation. (a) seconds No. 10-14 1 (b) millimetres No. 71/z-9 41 15-19 8 91/z-11 59 20-24 20 11 Vz-13 77 25-29 12 30-34 5 131/z-15 45 35-39 2 15-17 30 2. A customer survey on furniture revealed that 55 people spent amounts as shown in the table. Amount No.

Extreme values do not affect the mode or the median. EXERCISE 7 1. Find the mode of each of the following distributions (i) by accurate drawing and measurement, (ii) by calculation. (a) seconds No. 10-14 1 (b) millimetres No. 71/z-9 41 15-19 8 91/z-11 59 20-24 20 11 Vz-13 77 25-29 12 30-34 5 131/z-15 45 35-39 2 15-17 30 2. A customer survey on furniture revealed that 55 people spent amounts as shown in the table. Amount No. under £25 £25 and under £50 £50 , £75 £75 , £100 1 3 8 14 No. Amount £100 £125 £150 £200 and under £125 , £150 , £200 and over 11 10 7 1 Find the mode, the median and the two quartiles.

7. An investigation into horse racing provided the following figures at the end of a flat-racing season. Trainer No. of horses No. of wins B A 24 42 8 11 c 38 70 D 33 49 E 31 50 F 36 55 G 35 63 H 22 33 I 35 35 J 22 41 K 32 46 L 32 55 Plot the data using the x-axis for the number of horses and draw the regression line of wins on horses. Which trainers might consider they had done better than average? Find the regression equation and from it calculate the number of wins the trainer of 15 horses might have expected.

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