Dealing with Data by Arthur J. Lyon and W. Ashhurst (Auth.)

By Arthur J. Lyon and W. Ashhurst (Auth.)

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1) 2 1 % . (m) No. (n) 7 | % . 6. (a) 5. (b) 0-5. (c) 0-05. (d) 0-5. (e) No. (f) No. (g) 1*5. 7. (a) 40-0+1-2. (b) 400+24 (6%). (c) 0-0500 + 0-0015 (3%). (d) 2-00+0-03(11%). (e) 300+0-6. (f) 00333 + 00007 (2%). (g) 100+0-6. (h) 0-100+0-006 (6%). (i) 1000+180 (18%). 8. (a) 13 %. (b) No. (c) 23 %. (d) No. (e) 24 %. (f) 10 %. (g) 2 %. (h) No. 9. (a) 20 + 3. (b) 120 + 0-7. (c)0-40+0-06. (d) 3-0+0-4. (e) 7Ό+0-9. (f)(2-0+0-4)Xl0 2 . (g)2-4 + 0-6. (h)2-0 + 0-2. (i)26 + 2. (j) 104+11. 10. (a) 54-37+0-048.

M = 16-513 g (with maximum error ±0-05). It will be noted that we have retained two decimal places beyond the final place of the less-accurate term. In other words, we have retained two guarding decimal places. Suppose that we have a larger number of terms, in fact a "generalized sum" of the form ±x±y±z±, .. ,in which there is considerable variation in the number of decimal places quoted. 4 that when all the values are correct to their last decimal place retention of two guarding places is still desirable, and in most cases adequate.

A) 40-0+1-2. (b) 400+24 (6%). (c) 0-0500 + 0-0015 (3%). (d) 2-00+0-03(11%). (e) 300+0-6. (f) 00333 + 00007 (2%). (g) 100+0-6. (h) 0-100+0-006 (6%). (i) 1000+180 (18%). 8. (a) 13 %. (b) No. (c) 23 %. (d) No. (e) 24 %. (f) 10 %. (g) 2 %. (h) No. 9. (a) 20 + 3. (b) 120 + 0-7. (c)0-40+0-06. (d) 3-0+0-4. (e) 7Ό+0-9. (f)(2-0+0-4)Xl0 2 . (g)2-4 + 0-6. (h)2-0 + 0-2. (i)26 + 2. (j) 104+11. 10. (a) 54-37+0-048. (b) 0-05638+ 0-0006. (c) 2-74 + 0-15. (d) (1-572 + + 0·052)Χ104. (e) (3-83±0-27)Xl0- 4 . (f) 7-82+0-074.

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