Basic Engineering Mathematics, Fifth Edition

298 Basic Engineering Mathematics

28 22 23 20 12 24 37 28 21 25

21 14 30 23 27 13 23 7 26 19

24 22 26 3 21 24 28 40 27 24

20 25 23 26 47 21 29 26 22 33

27 9 13 35 20 16 20 25 18 22

5. Form a cumulative frequency distributionand
   hence draw the ogive for the frequency distri-
   bution given in the solution to Problem 3.


6. Draw a histogram for the frequency distribu-
   tion given in the solution to Problem 4.


7. The frequency distribution for a batch of
   50 capacitors of similar value, measured in
   microfarads, is

10.5–10.9 2

11.0–11.4 7

11.5–11.9 10

12.0–12.4 12

12.5–12.9 11

13.0–13.4 8

Form a cumulative frequency distribution for

these data.

8. Drawanogiveforthedatagiveninthesolution
   of Problem 7.


9. The diameter in millimetres of a reel of wire
   is measured in 48 places and the results are as
   shown.

2.10 2.29 2.32 2.21 2.14 2.22

2.28 2.18 2.17 2.20 2.23 2.13

2.26 2.10 2.21 2.17 2.28 2.15

2.16 2.25 2.23 2.11 2.27 2.34

2.24 2.05 2.29 2.18 2.24 2.16

2.15 2.22 2.14 2.27 2.09 2.21

2.11 2.17 2.22 2.19 2.12 2.20

2.23 2.07 2.13 2.26 2.16 2.12

(a) Form a frequency distribution of diame-

ters having about 6 classes.

(b) Draw a histogram depicting the data.

(c) Form a cumulative frequency distribu-

tion.

(d) Draw an ogive for the data.